stability
DESCRIPTION
Stability. The stability of a cone. Stability in the s-plane. Tacoma Narrows Bridge (a) as oscillation begins and (b) at catastrophic failure. Tacoma Narrows Bridge (a) as oscillation begins and (b) at catastrophic failure. The Routh-Hurwitz Stability Criterion. - PowerPoint PPT PresentationTRANSCRIPT
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Stability
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The stability of a cone.
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Stability in the s-plane.
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Tacoma Narrows Bridge (a) as oscillation beginsand (b) at catastrophic failure.
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Tacoma Narrows Bridge (a) as oscillation beginsand (b) at catastrophic failure.
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The Routh-Hurwitz Stability Criterion
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Case 1: No element in the first column is zero.
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Example 5.1 Second-order system
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Example 5.2 Thrid-order system
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Case 2: Zero in the first column
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ExampIe 5.3 Unstable system
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Case 3: Zeros in one row
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Example 5.4 Robot control
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Welding head position control.
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Relative Stability of Feedback Control Systems
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Root locations in the s-plane.
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(a) Turning control system for a two-track vehicle.(b) Block diagram.
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The stable region.
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Closed-loop control system with T(s) = Y(s)/R(s) = 1/(s3 + s2+ 2s+24).
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Routh array for the closed-loop control systemwith T(s) = Y(s)/R(s) = 1/(s3 s2 2s 24)
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The closed-loop disk drive head system with an optional velocity feedback.
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Equivalent system with the velocity feedback switch closed.
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Response of the system with velocity feedback. (a) MATLAB script.(b) Response with Ka = 100 and K1 = 0.05.