Slide 1reference
EPC: Applying input to cause system variable to conform to desired value called reference
Actuator
Elements are represented in Transfer functions or state space representations
Dr. Talal Mandourah
Introduction to Control
Transfer function: is the relationship between the input
to the output of the systems in algebraic form
Dr. Talal Mandourah
Introduction to Control
Dr. Talal Mandourah
Introduction to Control
Systematic theoretical approach for analysis and design
Predict system response and stability to input
Note: the adjustment is carried out on every observation with no substantial cost
Modeling
Analytical
Steady state response : the final value of the step response
Raise time tr : the time the step response reaches 90% of the steady state.
Overshoot, Mp: The maximum amount by which the step response exceed the
final value.
Settling time ts: is the time at which the step response enter the final value
SS error
Transient state
Steady state
P control: may not have non-zero steady state
I control: improve steady state error
D control: may improve stability and transient response
PI: steady state, PD: damping transient state
SS error
Transient state
Steady state
Desired:
Minimum overshoot
What Meant by Control Optimization & Stability?
- We say that the controller is optimum if we know a value that
gives the best output
- We say that the system is stable if any bounded input
produces bounded output for all bounded initial conditions
Link the slides
System without control