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