Performance of Feedback Control Systems
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Transcript of Performance of Feedback Control Systems
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Performance of Feedback Control Systems
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Test Input Signals:
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Performance of a Second Order System
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Step Input:
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Transient response of a second-order system (Eq. 5.9) for a step input.
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The transient response of a second-order system (Eq. 5.9) for a step input as a function of and nt.
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Impulse Input:
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Response of a second-order system for an impulse function input.
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Step response of a control system (Eq. 5.9).
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Percent overshoot and normalized peak time versusdamping ratio z for a second-order system (Eq. 5.8).
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Normalized rise time Tr1 versus for a second-order system.
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The step response for = 0.2 for n = 1 and n = 10.
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Effect of the Third Pole on the 2nd-Order System
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An s-plane diagram of a third-order system.
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Effect of the Zero on the 2nd-Order System
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Percent overshoot as a function of and n when a second-order transfer function contains a zero.
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The response for the second-order transfer function with a zero for four values of the ratio (a/n): A = 5, B = 2, C = 1, and D = 0.5 when =0.45.
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ExampIe 4.1 Parameter Selection
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Specifications and root locations on the s-plane.
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The s-Plane Root Location and the Transient Response
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Impulse response for various root locations in the s-plane.(The conjugate root is not shown.)
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The Steady-State Error of Feedback Control Systems
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H(s) = 1,
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Step Input:
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N=0Step Input:
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N>0Step Input:
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Ramp Input:
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Ramp Input:K=1
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Acceleration Input:
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Acceleration Input:N=2
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Triangular wave response.
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Control system model with a second-order model of the motor and load.
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Response of the system to a unit step input, r(t) 1, t (a) MATLAB script.
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Response of the system to a unit step input, r(t) 1, t (b) Response for Ka 30 and 60.
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Performance Indices
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ISE:IAE:ITAE:ITSE:
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Example:
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Example:
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Step Response
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Example:
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