Analysis and Synthesis of Polynomial Discrete-Time Systems ：An SOS Approach

Publication subTitle ：An SOS Approach

Author： Saat   Mohd Shakir Md;Nguang   Sing Kiong;Nasiri   Alireza  

Publisher： Elsevier Science‎

Publication year： 2017

E-ISBN: 9780081019023

P-ISBN(Paperback): 9780081019016

Subject： TP27 automation system

Keyword： Energy technology & engineering,自然科学总论,Technology: general issues

Language： ENG

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Description

Analysis and Synthesis of Polynomial Discrete-time Systems: An SOS Approach addresses the analysis and design of polynomial discrete-time control systems. The book deals with the application of Sum of Squares techniques in solving specific control and filtering problems that can be useful to solve advanced control problems, both on the theoretical side and on the practical side. Two types of controllers, state feedback controller and output feedback controller, along with topics surrounding the nonlinear filter and the H-infinity performance criteria are explored. The book also proposes a solution to global stabilization of discrete-time systems.

  • Presents recent developments of the Sum of Squares approach in control of Polynomial Discrete-time Systems
  • Includes numerical and practical examples to illustrate how design methodologies can be applied
  • Provides a methodology for robust output controller design with an H-infinity performance index for polynomial discrete-time systems
  • Offers tools for the analysis and design of control processes where the process can be represented in polynomial form
  • Uses the Sum of Squares method for solving controller and filter design problems
  • Provides MATLAB® code and simulation files of all illustrated example

Chapter

Front Cover

Analysis and Synthesis of Polynomial Discrete-Time Systems

Copyright

Contents

About the Authors

Preface

1 Introduction

1.1 Nonlinear systems

1.2 Nonlinear discrete-time systems

1.2.1 Discretization

1.2.2 Brief overview on the literature of nonlinear discrete-time systems

1.3 Polynomial systems

1.3.1 Recent work on polynomial systems

1.3.1.1 On the literature on controller synthesis for polynomial systems: the Lyapunov method and SOS decomposition approach

1.3.2 Sum-of-squares (SOS) decomposition

1.3.2.1 SOSTOOLS

1.4 Research motivation

1.5 Contribution of the book

1.6 Book outline

References

2 Robust nonlinear control for polynomial discrete-time systems

2.1 Introduction

2.2 Main results

2.2.1 Nonlinear control for polynomial discrete-time systems

2.2.1.1 The integrator approach

2.2.2 Robust nonlinear feedback control design for polynomial discrete-time systems

With parametric uncertainties

With norm-bounded uncertainties

2.3 Numerical examples

2.4 Conclusion

References

3 Robust nonlinear H8 state feedback control for polynomial discrete-time systems

3.1 Introduction

3.2 System description and problem formulation

3.2.1 System description

3.2.2 Problem formulation

3.3 Main results

3.3.1 Nonlinear H8 control of polynomial discrete systems

3.3.2 Robust nonlinear H8 control of polynomial discrete systems

3.3.2.1 Parametric uncertainty

3.3.2.2 Norm-bounded uncertainties

3.4 Numerical examples

References

4 Robust nonlinear filtering for polynomial discrete-time systems

4.1 Introduction

4.2 System description and definition

4.3 Main results

4.3.1 Nonlinear filtering for polynomial discrete-time systems

4.3.2 Robust nonlinear filtering for polynomial discrete-time systems

4.4 Numerical examples

4.5 Conclusion

References

5 Robust nonlinear H8 filtering for polynomial discrete-time systems

5.1 Introduction

5.2 System description and problem formulation

5.3 Main results

5.3.1 Nonlinear H8 filtering for polynomial discrete-time systems

5.3.2 Robust nonlinear H8 filtering for polynomial discrete-time systems

5.4 Numerical examples

5.5 Conclusion

References

6 Robust nonlinear H8 output feedback control for polynomial discrete-time systems

6.1 Introduction

6.2 System description and problem formulation

6.3 Main results

6.3.1 Nonlinear H8 output feedback control

6.3.2 Robust nonlinear H8 output feedback control

6.3.2.1 Parametric uncertainties

6.3.2.2 Norm-bounded uncertainties

6.4 Numerical examples

6.5 Conclusion

References

7 Global stabilization of fuzzy polynomial discrete-time nonlinear systems

7.1 Introduction

7.2 System description and problem formulation

7.3 Main results

7.4 Simulation examples

7.5 Conclusion

References

8 Global H8 control of fuzzy polynomial discrete-time nonlinear systems

8.1 Introduction

8.2 System description and preliminaries

8.3 Main results

8.4 Simulation examples

8.5 Conclusion

References

9 Conclusion

9.1 Summary of book

9.2 Future research work

References

A.1 Linear matrix inequality (LMI)

A.2 The Schur complement

Index

Back Cover

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