Using the power of MATLAB(R) and its Control System Toolbox, this book is the ideal supplement for a digital control systems course. Students are able to use a digital computer to rapidly work a wide range of numerical problems and gain deeper insight in control design. The book is built around illustrative examples that demonstrate the steps involved in the analysis and design process. The examples are followed by a variety of problems that span the spectrum from follow-up what-if problems, to simple textbook-type reinforcement problems, to open-ended exploratory problems, and to realistic comprehensive problems. This book is part of the Bookware Companion Series.
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1. INTRODUCTION. MATLAB and The Control System Toolbox. Cross-Reference of Topics. Ways to Use this Book. 2. SINGLE-BLOCK MODELS AND THEIR RESPONSES. Transfer Functions. Residues and Unit-Delta (Impulse) Response. Step Response. Response to a General Input. Poles and Stability. Effects of Zeros on System Response. Building Multiple-Input, Multiple-Output Systems. 3. BUILDING AND ANALYZING MULTI-BLOCK MODELS. Series Connections. Parallel Connections. Feedback Connections. Controller Transfer Functions. Feedback Systems with Two Inputs. Feedback Connections of Multiple-Input, Multiple-Output Systems. 4. STATE-SPACE MODELS. Model Building, Conversions, and Interconnections. Poles, Zeros, Eigenvalues, and Stability. Time Response. State Transformation. 5. SAMPLE-DATA CONTROL SYSTEMS. Impulse Sampling. Aliasing. Zero-Order Hold. Discretization. Closed-Loop Sampled-Data Systems. 6. FREQUENCY RESPONSE, DIGITAL FILTERS, AND DISCRETE EQUIVALENTS. Frequency Response. Sinusoidal Steady-State Response. Digital Filters. Discrete Equivalents. 7. SYSTEM PERFORMANCE. Time-Domain Performance. Steady-State Regulation. Performance Measures as Functions of Controller Parameters. Frequency-Domain Performance. Nyquist Plot. 8. PROPORTIONAL-INTEGRAL-DERIVATIVE CONTROL. Proportional Control. Proportional-Plus-Integral Control. Proportional-Integral-Derivative Control. 9. FREQUENCY-RESPONSE DESIGN. Bilinear Transform. Lag Controller Design. Lead Controller Design. Lead-Lag Controller Design. 10. STATE-SPACE DESIGN METHODS. Controllability. Pole Placement. Observability. Observer Design. Observer-Controller Design. Appendix A: Models Of Practical Systems. Ball and Beam System. Inverted Pendulum. Electric Power System. Hydro-Turbine and Penstock. Appendix B: Root-Locus Plots. Discrete Fourier Transform. Appendix C: Matlab Commands.
Using the power of MATLAB(R) and its Control System Toolbox, this book is the ideal supplement for a digital control systems course. Students are able to use a digital computer to rapidly work a wide range of numerical problems and gain deeper insight in control design. The book is built around illustrative examples that demonstrate the steps involved in the analysis and design process. The examples are followed by a variety of problems that span the spectrum from follow-up what-if problems, to simple textbook-type reinforcement problems, to open-ended exploratory problems, and to realistic comprehensive problems. This book is part of the Bookware Companion Series.
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