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"Control of nonlinear systems is a multidisciplinary field involving electrical engineering, computer science, and control engineering. This book develops a systematic methodology to understand a quantitative stability result, which is an important contributor to nonlinear control systems' stability and performance. It focuses on the operator-theoretic approach, providing examples on how to apply it to network controlled systems. Current research results and the future of the operator-theoretic approach are also examined. Control theory engineers and applied mathematicians will find this work especially rewarding"--
List of contents
1 Introduction 1
1.1 Definition of nonlinear systems 1
1.2 Nonlinear systems dynamics analysis and control 1
1.3 Why operator-based nonlinear control system? 2
1.4 An overview of the book 2
1.5 Acknowledgments 3
2 Robust right coprime factorization for nonlinear plants with uncertainties 5
2.1 Preliminaries 5
2.2 Operator theory 11
3 Robust stability of operator-based nonlinear control systems 27
3.1 Concept of operator based robust stability 27
3.2 Design methods of nonlinear systems with uncertainties 27
3.3 Operator-based robust anti-windup nonlinear feedback control systems design 38
3.4 Operator-based multi-input and multi-output(MIMO) nonlinear feedback control systems design 58
3.5 Operator-based time-varying delayed nonlinear feedback control systems design 110
4 Tracking issues and fault detection issues in nonlinear control systems 121
4.1 Operator-based tracking compensator in nonlinear feedback control systems design 121
4.2 Robust control for nonlinear systems with unknown perturbations using simplified robust right co-prime factorization 128
4.3 Operator-based actuator fault detection methods 146
4.4 Operator-based input command fault detection method in nonlinear feedback control systems 159
5 Operator based nonlinear control systems with smart actuators 177
5.1 Operator-based robust nonlinear feedback control systems design for non-symmetric backlash 177
5.2 Operator-based robust nonlinear feedback control systems design for symmetric and non-symmetric hysteresis 190
5.3 Operator-based nonlinear feedback systems application for smart actuators 203
6 Nonlinear feedback control to large scale systems using a distributed control system (DCS) device 247
6.1 Introduction 247
6.2 Multi-tank process modelling 249
6.3 Robust right coprime factorization design and controller realization254
6.4 Experimental results 260
6.5 Summary 264
References 267
Report
"In particular, the main topics are: robust stability, tracking and fault detection, nonlinear control with smart actuators, nonlinear feedback control of large scale systems. Many applicative examples and simulations illustrate these results." ( Zentralblatt MATH , 1 October 2014)
