Operator-Based Nonlinear Control Systems (eBook)

MINGCONG DENG, PhD, is Professor of Electrical and Electronic Engineering at Tokyo University of Agriculture and Technology. Dr. Deng has also held teaching or research positions at Kumamoto University, University of Exeter, NTT Communication Science Laboratories, and Okayama University.

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

"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)