ntu cca course & books

EE6203 Computer Control Systems

EE6203 COMPUTER CONTROL SYSTEMS Acad Unit: 3.0 Prerequisite: NIL Effective: Acad Year 2000-2001 Last update: 20 March 2000 OBJECTIVE Practically all control systems that are implemented today are based on computer control. It is therefore important to understand computer-controlled systems well. The purpose of the course is to provide a thorough background for understanding, analyzing and designing of computer-controlled systems. The objectives include equipping students with the control theory that is relevant to the analysis and design of computer-controlled systems. Topics such as time-domain analysis, frequency domain analysis, state-space analysis will be covered. The design and implementation issues of computer-controlled systems will also be extensively discussed. DESIRED OUTCOME

On completion of the course, the students should be able to understand specific theories of computer-controlled systems, carry out the design of controllers to meet desired performance specifications through various design techniques such as the frequency and state-space approaches, understand practical implementation techniques and considerations from a software and hardware point of view. OTHER RELEVANT INFORMATION

A background with a fundamental course on continuous-time control systems is desirable.

CONTENT

Discrete-time system modeling and analysis. Cascade compensation. State-space design methods. Optimal control. Design and implementation of digital controllers.

ASSESSMENT SCHEME Continuous Assessment 20% Final Examination 80%

TEXTBOOK 1. Kuo B. C., Digital Control Systems, 2nd Edition, Saunders College Publishing, 1992. REFERENCES 1. Franklin G. F., Powell J. D. and Workman M. L., Digital Control of Dynamic Systems,

Addison-Wesley, 1990. 2. Middleton R. H. and Goodwin G. C., Digital Control and Estimation - A Unified Approach,

Prentice-Hall, 1990.

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EE6204 SYSTEMS ANALYSIS Acad Unit: 3.0 Prerequisite: Nil Effective: Acad Year 2000-2001 Last update: 24 February 2000 OBJECTIVE Optimization is used in those activities in which the goal is to achieve an objective. Choosing a proper optimization algorithm requires a knowledge about the principles of different optimization techniques. The primary objective of this course is to provide an introduction to mathematical programming and probabilistic methods. DESIRED OUTCOME This course will help engineers to learn and to analyze the operation of complex industrial processes in a plant through the use of these optimization techniques and computer simulation. OTHER RELEVANT INFORMATION The mathematical treatment in this course is kept at a relatively elementary level. An elementary knowledge of matrix algebra, calculus and probability theory would be sufficient for understanding most of the materials in the course. CONTENT Linear, dynamic and integer programming. Random processes. Queuing models. Optimization techniques. Markov decision process. ASSESSMENT SCHEME Continuous Assessment

20%

Final Examination 80% TEXTBOOK 1. Taha H. A., Operations Research: an Introduction, 7th Edition, Prentice-Hall, 2003. REFERENCES 1. Winston W.L., Introduction to Mathematical Programming: Applications and Algorithms, 4th Edition, Brooks Cole, 2003. 2. D. J. White, Markov Decision Processes, John Wiley, New York, 1997.

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EE6205 REAL TIME AND EMBEDDED SYSTEMS Acad Unit: 3.0 Prerequisite: Nil Effective: Acad Year 2000-2001 Last update: 20 March 2000 OBJECTIVE The objective of the course is to equip students with the foundations of real-time analysis and design of systems which are interconnected with the physical world (embedded systems). It also covers the principles of redundancy and fault tolerance for such systems. Techniques which are introduced include real-time scheduling, priority structures, process and control specifications, and reliability modeling. DESIRED OUTCOME Upon completion of this course, students will be able to perform requirement analysis, formulate real-time constraints and employ real-time programming constructs for simple embedded systems. OTHER RELEVANT INFORMATION This course is an introduction to the multi-disciplinary field of embedded real-time systems. Basic knowledge of computer systems is required. CONTENT Fundamentals of real time and embedded systems. Real time operating systems. Design methodologies. Development, debugging tools and programming languages. Reliability. Case studies and applications. ASSESSMENT SCHEME Continuous Assessment

20%

Final Examination 80% TEXTBOOKS 1. Steve Heath, Embedded Systems Design, 1999. 2. Sylvia Goldsmith, A Practical Guide to Real_Time Systems Development, Prentice -Hall, 1993. REFERENCES 1. Burns A. and Wellings A., Real-Time Systems and Their Programming Languages, Addison-

Wesley Publishing Co., 1990. 2. David E. Simon, An Embedded Software Primer, Addison-Wesley, 1999. 3. Johnson B. W., Design and Analysis of Fault-tolerant Digital Systems, Addison-Wesley, 1989. 4. Bennet S., Real-Time Computer Control, Prentice Hall Inc., 1994.

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EE6401 ADVANCED DIGITAL SIGNAL PROCESSING Acad Unit: 3 Prerequisite: Nil Effective: Acad Year 2006/07 Last update: January 2006 OBJECTIVE The purpose of this course is to provide in-depth treatment on methods and techniques in discrete-time signal transforms, digital filter design, optimal filtering, power spectrum estimation, multi-rate digital signal processing, DSP architectures, which are of importance in the areas of signal processing, control and communications. Applications of these methods and techniques are also presented. The intended audiences are research students and industry professionals working in the above-mentioned areas and related technical fields. DESIRED OUTCOME The topics covered in this course provide solid and comprehensive foundation for other more specialized areas in signal processing, control, and communications. At the end of the course, students would be able to apply fundamental principles, methodologies and techniques of the course to analyze and design various problems encountered in both academic research and industry R&D practice. OTHER RELEVANT INFORMATION The course requires knowledge of mathematical concepts in linear algebra and integral transform, and fundamental linear system theory. CONTENT Discrete signal analysis and digital filters. Power spectrum estimation. Linear prediction and optimal linear filters. Multi-rate digital signal processing. DSP Architectures and applications. ASSESSMENT SCHEME Continuous Assessment 20% Final Examination 80%

TEXTBOOKS 1. J.G. Proakis and D.G. Manolakis, Digital Signal Processing: Principles, Algorithms and

Applications, Third Edition, Prentice-Hall, 1996 2. S. Haykin, Adaptive Filter Theory, Prentice-Hall, 1997.

REFERENCES 1. E.C. Ifeachor and B.W. Jervis, Digital Signal Processing A practical approach, Second Edition,

Prentice-Hall, 2002 2. P.P. Vaidyanathan, Multirate Systems and Filter Banks, Prentice-Hall, 1993.





EE6221 ROBOTICS & INTELLIGENT SENSORS Acad Unit: 3.0 Prerequisite: Nil Effective: Acad Year 2000-2001 Last update: 20 March 2000 OBJECTIVE This course introduces fundamental concepts in robotics and intelligent sensing techniques. The objectives of the course are to provide an introductory understanding of robotics and intelligent sensors. Students will be exposed to a broad range of topics in robotics and intelligent sensors, with emphasis on basic of manipulators, coordinate transformation and kinematics, trajectory planning, control techniques, mobile robot kinematics, intelligent sensors, especially on the machine learning capability of robot kinematics and dynamics in a closed loop system. DESIRED OUTCOME On completion of this course, the student will be able to model robot manipulators and mobile robots; solve an inverse kinematics problem and plan a robot trajectory; design and analyze robot controllers by using appropriate methods; design basic robot intelligent sensor systems including static system learning (kinematics) and dynamic learning; and intelligent course recognition. OTHER RELEVANT INFORMATION CONTENT Overview of robotics. Motion planning and control. Mobile robots . Controller hardware/software systems. Sensor systems and integration. ASSESSMENT SCHEME Continuous Assessment

20%

Final Examination 80%

TEXTBOOKS 1. Schilling R. J., Fundamentals of Robotics: Analysis and Control, Prentice Hall, 1990. 2. McKerrow P. J., Introduction to Robotics, Addison-Wesley, 1991. REFERENCES 1. Siegwart R. and Nourbakhsh I. R., Introduction to Autonomous Mobile Robots, The MIT Press,

2004. 2. Stadler W., Analytical Robotics and Mechatronics, McGraw-Hill, 1995.





EE6222 MACHINE VISION Acad Unit: 3.0 Prerequisite: NIL Effective: Acad Year 2003-04 Last update: 5 Feb 2003 OBJECTIVE Computer vision and machine intelligence is fast developing as an important course towards the realization of many systems in application today. The basic knowledge of this growing area is therefore pertinent to aspiring engineers. The objective of this course is to equip students with a broad understanding of the various techniques in image processing and computer vision that can be coupled with the elements of machine intelligence. Topics such as feature extraction techniques, object recognition and interpretation, three-dimensional extraction techniques and recognition will be extensively studied. DESIRED OUTCOME On completion of the course, the students should be able to understand specific theories of algorithms on computer vision and machine intelligence. The students will also appreciate the practical problems and considerations associated with successful vision systems. OTHER RELEVANT INFORMATION Prior knowledge of linear algebra is desirable. CONTENT Fundamentals of Computer Vision. Feature Extraction Techniques. Object Recognition and Interpretation. Three Dimensional Computer Vision. Three-Dimensional Recognition Techniques. ASSESSMENT SCHEME Continuous Assessment

20%

Final Examination 80% REFERENCES 1. Haralick R. M. and Shapiro L. G., Computer and Robot Vision, Vol. II, Pearson Education

(POD), 2002. 2. Gonzalez R. C. and Woods R. E., Digital Image Processing, Addison Wesley, 2001. 3. Duda R. O., Hart P. E. and Stork D. G., Pattern Classification, John Wiley & Sons, 2001.

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EE6223 COMPUTER CONTROL NETWORKS Acad Unit: 3.0 Prerequisite: Nil Last update: August 1997 CONTENT Data Networks in Control and Automation. Local Area Network Concepts and Fieldbus. Application Layer of Fieldbus and MAP. Internetworking and Protocols. Real-time Operating Systems and Distributed Control. Network Performance and Planning. Multimedia in Advanced Control and Instrumentation. ASSESSMENT SCHEME Continuous Assessment

20%


TEXTBOOKS 1. Andrews S. Tanenbaum, Computer Networks, 4th Edition, Pearson Prentice Hall, 2003. 2. Fred Halsall, Multimedia Communications, Addison-Wesley, 2001. REFERENCES 1. William Stallings, High-Speed Networks and Internets: Performance and Quality of Services,

2nd Edition, Pearson Prentice Hall, 2002. 2. Douglas E. Comer, Computer Networks and Internets: with Internet Applications, Pearson

Prentice Hall, 2004. 3. William Stallings, Wireless communications and Networks, Pearson Prentice Hall, 2005.

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EE6224 NEURAL AND FUZZY SYSTEMS Acad Unit: 3.0 Prerequisite: NIL Effective: Acad Year 2003-04 Last update: 5 Feb 2003 OBJECTIVE This course provides a unified engineering perspective on neural networks and fuzzy system with emphasis both on theory and applications. DESIRED OUTCOME The course consists of two major sections. In the first section, students learn neural network theory and applications and should be able to use neurons as signal functions for hopfield and associative memory network. Unsupervised synaptic learning and review of probability theories are studied as the first step of in-depth study. Finally, neurons and perceptrons are combined together to allow the students have a complete picture of the thinking and learning procedure of neural networks including RBF networks. The second section requires the students to master fuzzy logic and the theory of fuzzy logic systems. This includes fuzzy relation, fuzzy proposition and approximate reasoning. OTHER RELEVANT INFORMATION The basic theory uses only elementary calculus, linear algebra and probability. Some applications use more advanced techniques from digital signal processing, random processes, and estimation and control theory. The text and continue assignment in the course introduce and develop these techniques. CONTENT Neural Dynamics and Models. Synaptic Dynamics. Single and Multi-layered Perceptrons. Radial-Basis Function Networks. Fuzzy Logic Theory. Fuzzy Systems and Applications. ASSESSMENT SCHEME Continuous Assessment

20 %

Final Examination 80 %

TEXTBOOKS 1. Simon Haykin, Neural Networks a Comprehensive Study, Prentice Hall, 1999. 2. Kosko, B, Neural Network and Fuzzy Systems, Prentice Hall, 1992. REFERENCE 1. Zurada J. M., Introduction to Artificial Neural Systems, West Publishing Company, 1992.

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EE6225 PROCESS CONTROL Acad Unit: 3.0 Prerequisite: Nil Effective: Acad Year 2000-2001 Last update: 20 March 2000 OBJECTIVE The course of Process Control is directed to provide a review of modern process control engineering. The purpose of the course is to serve as an introduction to process dynamics, modeling and control. The objectives include: (a) equipping students with basic understanding of issues related to basic control algorithms, advanced control strategies, multivariable control, plant parameter estimation, and process modelling and simulation; (b) enhancing students skills and techniques for tackling practical process control system design problems through case studies. DESIRED OUTCOME On completion of this course students should be confident to handle tasks on modeling, analysis, design and implementation of control systems for the continuous process industry. OTHER RELEVANT INFORMATION Students should have prior knowledge of basic control engineering such as transfer functions, poles and zeros, performance and stability analysis methods, etc. CONTENT Basic control algorithms. Advanced control strategies. Multivariable control. Plant parameter estimation. Process modelling and simulation. Case studies in process control. ASSESSMENT SCHEME Continuous Assessment

20%


TEXTBOOK 1. Ogunnaike B.A.and W.Hermon Ray, Process Dynamics, Modelling and Control, Oxford

University Press, 1994. REFERENCES 1. Coughanowr D. R., Process Systems Analysis and Control, 2nd Edition, McGraw-Hill, 1991. 2. Shinskey F. G., Process Control Systems, McGraw-Hill, 1988. 3. Roozeboom F. (Ed.), Advances in Rapid Thermal Processing, NATO ASI Series, Kluwer

Academic Publishers, 1996.



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EE6402 Real-Time DSP Design and Applications

EE6402 REAL-TIME DSP DESIGN AND APPLICATIONS Acad Unit: 3.0 Pre-requisite: Nil Effective: Acad Year 1999-2000 (Semester 1) Last Update: Nov 2006 OBJECTIVE The objective of this course is to provide the foundation for students to pursue more complex topics in digital signal processing in audio, speech and video later in the programme. Students will be exposed to relevant topics in DSP design and applications to ensure that they have a basic understanding of real-time digital signal processing techniques. DESIRED OUTCOME Through this course, students are expected to achieve a sound understanding of the real-time concepts of digital signal processor design: how they differ from general purpose microprocessors; the differences between fixed point and floating point data paths; why a large memory bandwidth is necessary in DSP applications such the implementation of a FIR (Finite Impulse Response Filter); the need to perform a multiply-accumulate operation in one instruction cycle, etc. Students will also get to learn about the development tools available for DSP system design and how to implement FIR/IIR filters and their various implementation issues. Lastly, FFT (Fast Fourier Transform) implementation issues especially in audio and spectral estimation applications will be discussed. OTHER RELEVANT INFORMATION This course is designed as one of the 4 core courses offered under the MSc (SP) programme. Although it is not compulsory for students to have undergone a course in digital signal processing at the first degree level, a good mathematical background and prior knowledge of digital signal processing techniques will be useful. CONTENT Architectures for General-purpose Digital Signal Processor. Peripherals for DSP Applications. Development Tools for DSP Application. Digital FIR/IIR Filter Implementation. Fast Fourier Transform Implementation. ASSESSMENT SCHEME Continuous Assessment 30% Final Examination 70%

EE6402 Real-Time DSP Design and Applications

TEXTBOOK 1. John G. Ackenhusen, Real-Time Signal Processing Design and Implementation of Signal

Processing Systems, Prentice Hall, 2000. REFERENCES 1. Lapsley P, Bier J, Shoham A, Lee E A, "DSP Processor Fundamentals : Architectures and

Features", IEEE Press, 1996. 2. Ifeachor E, Jervis B W, "Digital Signal Processing : A Practical Approach", Addison

Wesley, 1993.



EE6503 MODERN ELECTRICAL DRIVES Academic Unit: 3.0 Prerequisite: Nil Effective: Acad Year 2006/07 Last update: January 2006 OBJECTIVE The objective of this course is to familiarize the participating students with modern industrial electric drives. In order to provide a detailed understanding of industrial drive systems, the theory of operation, modeling and control of various types of commonly used industrial drives will be introduced. It also aims to broaden a students knowledge with the application of power electronic converters and inverters in controlling modern drive systems. DESIRED OUTCOME Graduates of this course are expected to gain a good understanding of the principle of operation, dynamic and steady-state modeling and controlling methods of modern electric drives. Furthermore, they will be at ease in dealing with almost all commonly used power electronic converters in drive systems. The course will prepare them to embark on a career in the area of electric drives or in power electronics. It will also prepare the students for high level R&D in these areas. OTHER RELEVANT INFORMATION This course is aimed at graduate students or engineers already working in related fields. Prior knowledge of power, motors, power electronics and control theory at the undergraduate level is expected. CONTENT Introduction. DC Motor Drives. Induction Motor Drives. Synchronous Motor Drives. Servo-Motor Drives.

ASSESSMENT SCHEME Continuous Assessment

20%

Final Examination 80% TEXTBOOK 1. Krishnan R, Electric Motor Drives: Modelling, Analysis and Control, Prentice Hall International,

Inc., 2001. REFERENCES 1. Vas P, Sensorless Vector and Direct Torque Control, Oxford University Press, Inc., 1998. 2. Bose B K, Modern Power Electronics and AC Drives, Prentice Hall International, Inc., 2002. 3. Leonhard W, Control of Electric Drives, Springer-Verlag Berlin Heidelberg, 1996. 4. Krause P C, Wasynczuk O, and Sudhoff S D, Analysis of Electric Machinery and Drive Systems,

Second Edition, New York, Wiley-IEEE, 2002.

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E4-Control & Instrumentation 2008/2009

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MSc (COMPUTER CONTROL AND AUTOMATION) CURRICULUM E6203 COMPUTER CONTROL SYSTEMS TEXTBOOKS 1. Kuo B. C., Digital Control Systems, 2nd Edition, Saunders College Publishing, 1992. REFERENCES 1. Franklin G. F., Powell J. D. and Workman M. L., Digital Control of Dynamic Systems,

Addison-Wesley, 1990. 2. Middleton R. H. and Goodwin G. C., Digital Control and Estimation - A Unified Approach,

Prentice-Hall, 1990. E6204 SYSTEMS ANALYSIS TEXTBOOKS 1. Taha H. A., Operations Research: an Introduction, 7th Edition, Prentice-Hall, 2003. REFERENCES 1. Winston W.L., Introduction to Mathematical Programming: Applications and Algorithms, 4th Edition, Brooks Cole, 2003. 2. D. J White, Markov Decision Processes, John Wiley, New York, 1997. E6205 REAL TIME AND EMBEDDED SYSTEMS TEXTBOOKS 1. Steve Heath, Embedded Systems Design, 1999. 2. Sylvia Goldsmith, A Practical Guide to Real_Time Systems Development, Prentice -Hall,

1993. REFERENCES 1. Burns A. and Wellings A., Real-Time Systems and Their Programming Languages, Addison-

Wesley Publishing Co., 1990. 2. David E Simon, An Embedded Software Primer,Addison-Wesley,1999. 3. Johnson B. W., Design and Analysis of Fault-tolerant Digital Systems, Addison-Wesley, 1989. 4. Bennet S., Real-Time Computer Control, Prentice Hall Inc., 1994. E6221 ROBOTICS AND INTELLIGENT SENSORS TEXTBOOK 1. Schilling R. J., Fundamentals of Robotics: Analysis and Control, Prentice Hall, 1990. 2. McKerrow P. J., Introduction to Robotics, Addison-Wesley, 1991. REFERENCES 1. Siegwart R. and Nourbakhsh I. R., Introduction to Autonomous Mobile Robots, The MIT Press,

2004. 2. Stadler W., Analytical Robotics and Mechatronics, McGraw-Hill, 1995.


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EE6222 MACHINE VISION REFERENCES 1. Haralick R. M. and Shapiro L. G., Computer and Robot Vision, Vol. II, Pearson Education

(POD), 2002. 2. Gonzalez R. C. and Woods R. E., Digital Image Processing, Addison Wesley, 2001. 3. Duda R. O., Hart P. E. and Stork D. G., Pattern Classification, John Wiley & Sons, 2001. EE6223 COMPUTER CONTROL NETWORKS TEXTBOOKS 1. Andrews S. Tanenbaum, Computer Networks, 4th Edition, Pearson Prentice Hall, 2003. 2. Fred Halsall, Multimedia Communications, Addision-Wesley, 2001. REFERENCES 1. William Stallings, High-Speed Networks and Internets: Performance and Quality of Services,

2nd Edition, Pearson Prentice Hall, 2002. 2. Douglas E. Comer, Computer Networks and Internets: with Internet Applications, Pearson

Prentice Hall, 2004. 3. William Stallings, Wireless communications and Networks, Pearson Prentice Hall, 2005. E6224 NEURAL AND FUZZY SYSTEMS TEXTBOOKS 1. Simon Haykin, Neural Networks a comprehensive study, Prentice Hall, 1999. 2. Kosko, B: Neural Network and Fuzzy Systems, Prentice Hall, 1992. REFERENCES 1. Zurada J. M., Introduction to Artificial Neural Systems, West Publishing Company, 1992. E6225 PROCESS CONTROL TEXTBOOK 1. Ogunnaike B.A.and W.Hermon Ray, Process Dynamics , Modelling and Control, Oxford

University Press, 1994. REFERENCES 1. Coughanowr D. R., Process Systems Analysis and Control, 2nd Edition, McGraw-Hill, 1991. 2. Shinskey F. G., Process Control Systems, McGraw-Hill, 1988. 3. Roozeboom F. (Ed.), Advances in Rapid Thermal Processing, NATO ASI Series, Kluwer

Academic Publishers, 1996. EE6401 ADVANCED DIGITAL SIGNAL PROCESSING TEXTBOOKS 1. J.G. Proakis and D.G. Manolakis, Digital Signal Processing: Principles, Algorithms and

Applications, Third Edition, Prentice-Hall, 1996 S. Haykin, Adaptive Filter Theory, Prentice-Hall, 1997.


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REFERENCES 1. E.C. Ifeachor and B.W. Jervis, Digital Signal Processing A practical approach, Second Edition,

Prentice-Hall, 2002 2. P.P. Vaidyanathan, Multirate Systems and Filter Banks, Prentice-Hall, 1993. EE7201 COMPUTATIONAL METHODS IN ENGINEERING TEXTBOOK 1. M. T. Heath, Scientific Computing: an Introductory Survey, 2nd Edition, McGraw-Hill, 2002. REFERENCES 1. D. P. Bertsekas, Nonlinear Programming, Athena Scientific, 1999. 2. S. Boyd, L. Vandenberghe, Convex Optimization, Cambridge University Press, 2005. 3. S. Boyd, L. El Ghaoui, E. Feron, and V. Balakrishnan, Linear Matrix Inequalities in System and

Control Theory, SIAM, 1994. 4. F. van der Heijden et al, Classification, Parameter Estimation, and State Estimation: an

Engineering Approach Using MATLAB, Wiley, 2004. 5. S. M. Kay, Fundamentals of Statistical Signal Processing, Volume 2: Detection Theory, Prentice

Hall, 1998. 6. J. E. Freund, John E. Freund's Mathematical Statistics with Applications, 7th Edition, Prentice

Hall, 2004. EE7204 LINEAR SYSTEMS TEXTBOOK 1. F. Szidarovszky and A.T. Bahill, Linear Systems Theory, 2nd edition, CRC Press, 1998.

(Q295.S998) REFERENCES 1. C.T. Chen, Linear System Theory and Design, Oxford University Press, 1999. (QA402.C518s) 2. M.J. Corless and A.E. Frazho, Linear Systems and Control: An Operator Perspective, Marcel

Dekker, 2003. (QA402.3.C799) 3. M. Green and D.J.N. Limebeer, Linear Robust Control, Prentice Hall, 1995. (TJ213.G797) EE7205 RESEARCH METHODS REFERENCES 1. Dane F.C., Research Methods, Brooks/Cole Publishing Company, 1990. 2. Gay L.R. and Diehl, P.L., Research Methods for Business and Management, MacMillan

Publishing Company, 1992. 3. Howard K. and Sharp J.A., The Management of a Student Research Project, Publ. Co. Ltd., 1996.


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4. McBurney D.H., Research Methods, Brooks/Cole Publishing Company, 1994. 5. BLAKE & Bly.R.W., The elements of technical writing, Longman, 1993. EE7206 SYSTEM MODELING AND IDENTIFICATION TEXTBOOK 1. Lennart Ljung and Torkel Glad, Modeling of Dynamic Systems, Prentice Hall, Inc., Englewood

Cliffs, NJ 1994. REFERENCES 1. Rolf Johansson, System Modeling and Identification, Prentice Hall, Inc., Englewood Cliffs, NJ,

1993. 2. Lennart Ljung, System Identification: Theory for the User, Prentice Hall, Inc., Englewood Cliffs,

NJ, 1987

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ntu cca course & books

Documents

digital control systems

computercontrolled systems

design of computer

control theory

optimal control

computer simulation

objective optimization

statespace analysis