Page 24 - Modern Control Systems
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XX Preface
Chapter 5 The Performance of Feedback Control Systems. In Chapter 5, the per-
formance of control systems is examined. The performance of a control system is
correlated with the s-plane location of the poles and zeros of the transfer function of
the system.
Chapter 6 The Stability of Linear Feedback Systems. The stability of feedback sys-
tems is investigated in Chapter 6. The relationship of system stability to the charac-
teristic equation of the system transfer function is studied. The Routh-Hurwitz
stability criterion is introduced.
Chapter 7 The Root Locus Method. Chapter 7 deals with the motion of the roots
of the characteristic equation in the s-plane as one or two parameters are varied.
The locus of roots in the s-plane is determined by a graphical method. We also
introduce the popular PID controller and the Ziegler-Nichols PID tuning method.
Chapter 8 Frequency Response Methods. In Chapter 8, a steady-state sinusoid
input signal is utilized to examine the steady-state response of the system as the fre-
quency of the sinusoid is varied. The development of the frequency response plot,
called the Bode plot, is considered.
Chapter 9 Stability in the Frequency Domain. System stability utilizing frequency
response methods is investigated in Chapter 9. Relative stability and the Nyquist
criterion are discussed.
Chapter 10 The Design of Feedback Control Systems. Several approaches to
designing and compensating a control system are described and developed in
Chapter 10. Various candidates for service as compensators are presented and it is
shown how they help to achieve improved performance.
Chapter 11 The Design of State Variable Feedback Systems. The main topic of
Chapter 11 is the design of control systems using state variable models. Full-state
feedback design and observer design methods based on pole placement are dis-
cussed. Tests for controllability and observability are presented, and the concept of
an internal model design is discussed.
Chapter 12 Robust Control Systems. Chapter 12 deals with the design of highly
accurate control systems in the presence of significant uncertainty. Five methods for
robust design are discussed, including root locus, frequency response, ITAE meth-
ods for robust PID controllers, internal models, and pseudo-quantitative feedback.
Chapter 13 Digital Control Systems. Methods for describing and analyzing the
performance of computer control systems are described in Chapter 13. The stability
and performance of sampled-data systems are discussed.
Appendix A MATLAB Basics
