Feedback Control Theory

Contents Preface iii 1 Introduction 1 1.1 Issues in Control System Design . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.2 What Is in This Book . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 2 Norms for Signals and Systems 11 2.1 Norms for Signals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 2.2 Norms for Systems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 2.3 Input-Output Relationships . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 2.4 Power Analysis (Optional) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 2.5 Proofs for Tables 2.1 and 2.2 (Optional) . . . . . . . . . . . . . . . . . . . . . . . . . 18 2.6 Computing by State-Space Methods (Optional) . . . . . . . . . . . . . . . . . . . . . 21 3 Basic Concepts 27 3.1 Basic Feedback Loop . . . . . . . . . . . . . . . . . . . . . . . . .