Page 10 - Modern Control Systems

VI Contents
3.3 The State Differential Equation 166
3.4 Signal-Flow Graph and Block Diagram Models 171
3.5 Alternative Signal-Flow Graph and Block Diagram Models 182
3.6 The Transfer Function from the State Equation 187
3.7 The Time Response and the State Transition Matrix 189
3.8 Design Examples 193
3.9 Analysis of State Variable Models Using Control Design Software 206
3.10 Sequential Design Example: Disk Drive Read System 209
3.11 Summary 213
Skills Check 214 • Exercises 217 • Problems 220 • Advanced
Problems 227 • Design Problems 230 • Computer Problems 231 •
Terms and Concepts 232

CHAPTER 4 Feedback Control System Characteristics 234

4.1 Introduction 235
4.2 Error Signal Analysis 237
4.3 Sensitivity of Control Systems to Parameter Variations 239
4.4 Disturbance Signals in a Feedback Control System 242
4.5 Control of the Transient Response 247
4.6 Steady-State Error 250
4.7 The Cost of Feedback 253
4.8 Design Examples 254
4.9 Control System Characteristics Using Control Design
Software 268
4.10 Sequential Design Example: Disk Drive Read System 273
4.11 Summary 277
Skills Check 279 • Exercises 283 • Problems 287 • Advanced
Problems 293 • Design Problems 296 • Computer Problems 300 •
Terms and Concepts 303

CHAPTER 5 The Performance of Feedback Control Systems 304

5.1 Introduction 305
5.2 Test Input Signals 305
5.3 Performance of Second-Order Systems 308
5.4 Effects of a Third Pole and a Zero on the Second-Order System
Response 314
5.5 The 5-Plane Root Location and the Transient Response 320
5.6 The Steady-State Error of Feedback Control Systems 322
5.7 Performance Indices 330
5.8 The Simplification of Linear Systems 339
5.9 Design Examples 342
5.10 System Performance Using Control Design Software 356
5.11 Sequential Design Example: Disk Drive Read System 360