In this chapter, st ability and performance for multivariable systems with uncertainty will be considered. Consider a general multivariable system as depicted in Figure 5.1. All signals will in general be vectors, and G() and K(s) will be transfer matrices. d(s) is an output distur- bance signal and n() represents

1. Automatic Control System 1.1 Introduction 1.2 An example 1.3 Types of control system 2. Mathematical Foundation 2.1 The transfer function concept 2.2 The block diagram. 2.3 Signal flow graphs 2.4 Construction of signal flow graphs 2.5 General input-output gain transfer function 3. Time-Domain Analysis Of Control System 3.1 Introduction 3.2 Typical test signals for time response of control systems 3.3 First –Order Systems 3.4 Performance of a Second-Order System 3.5 Concept of Stability 4. The Root Locus Techniques 4.1 Introduction 4.2 Root Locus Concept 4.3 The Root Locus Construction Procedure for General System 4.4 The zero-angle (negative) root locus 5. Frequency-Domain Analysis of Control System 5.1 Frequency Response 5.2 Bode Diagrams 5.3 Bode Stability Criteria 5.4 The Nyquist Stability Criterion 6. Control system design 6.1 Introduction 6.2 Cascade Lead Compensation 6.3 Properties of the Cascade Lead Compensator 6.4 Parameter Design by the Root Locus Method