Enables readers to master and apply the operator-theoretic approach

Control of nonlinear systems is a multidisciplinary field involving electrical engineering, computer science, and control engineering. Specifically, this book addresses uncertain nonlinearity. Beginning with how real plants are modeled as operator-based plants, the author develops a systematic methodology that enables readers to understand a quantitative stability result, a critical factor in any nonlinear control system's stability and performance.

Operator-Based Nonlinear Control Systems: Design and Applications focuses on the operator-theoretic approach, offering detailed examples on how to apply it to network controlled systems. In addition to current research results, the author explores future research directions and applications of the operator-theoretic approach. The book begins with an introduction that defines nonlinear systems. Next, it covers:

• Robust right coprime factorization for nonlinear plants with uncertainties
• Robust stability of operator-based nonlinear control systems
• Tracking issues and fault detection issues in nonlinear control systems
• Operator-based nonlinear control systems with smart actuators
• Nonlinear feedback control for large-scale systems using a distributed control system device

Throughout the book, discussions of actual applications help readers understand how the operator-theoretic approach works in practice.

Operator-Based Nonlinear Control Systems is recommended for students and professionals in control theory engineering and applied mathematics. Working with this expertly written and organized book, they will learn how to obtain robust right coprime factorization for modeled plants. Moreover, they will discover state-of-the-technology research results on robust stability conditions as well as the latest system output tracking and fault detection issues that are challenging today's researchers.

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