Chapter 7
Design of Control
System
,What we have learned…
•
How to build the mathematical
model of a control system
•
Write differential equations
based on physical laws
•
Transform the differential
equations to the s-domain by
Laplace transform
•
Obtain the transfer function
•
Depict the control system with
•
Block diagram
,What we have learned…
•
Time-domain analysis of control systems
•Time-domain responses and time-domain
specifications
•Transient response (rise time, peak
time, maximum overshoot, settling time)
•Steady-state response (steady-state error)
•Time-domain response of
•First-order system
•Prototype second-order system
•Adding poles or zeros to loop or closed-loop
transfer functions
•Has varying effects on the transient
response of the closed-loop system
, What we have learned…
•
Stability condition of a linear system
•
The roots of its characteristic equation (CE)
must all be located in the left-half s-plane (LHP)
•
Methods of determining stability
•
Routh-Hurwitz criterion
•
Test whether any of the roots of CE lie in RHP
•
Indicate the number of roots that lie on the jw
axis and in RHP
Design of Control
System
,What we have learned…
•
How to build the mathematical
model of a control system
•
Write differential equations
based on physical laws
•
Transform the differential
equations to the s-domain by
Laplace transform
•
Obtain the transfer function
•
Depict the control system with
•
Block diagram
,What we have learned…
•
Time-domain analysis of control systems
•Time-domain responses and time-domain
specifications
•Transient response (rise time, peak
time, maximum overshoot, settling time)
•Steady-state response (steady-state error)
•Time-domain response of
•First-order system
•Prototype second-order system
•Adding poles or zeros to loop or closed-loop
transfer functions
•Has varying effects on the transient
response of the closed-loop system
, What we have learned…
•
Stability condition of a linear system
•
The roots of its characteristic equation (CE)
must all be located in the left-half s-plane (LHP)
•
Methods of determining stability
•
Routh-Hurwitz criterion
•
Test whether any of the roots of CE lie in RHP
•
Indicate the number of roots that lie on the jw
axis and in RHP
