Nonlinear Control under Nonconstant Delays
Nonlinear Control under Nonconstant Delays
Miroslav Krstic, University of California, San Diego
£74.99
GBPSome long-standing problems in delay systems are given an elegant and systematic new treatment in this book, which features a methodology developed by the authors. The authors' approach deals with control of nonlinear systems in the presence of long delays, with large and rapid variation in the actuation or sensing path, or in the presence of long delays affecting the internal state of a system. The material is based on predictor feedback and infinite-dimensional backstepping transformations for linear systems, and the authors guide the reader from the basic concepts all the way through to nonlinear systems with state-dependent delays on the input as well as on system states. All control designs are given by explicit formulae, making the book especially useful for engineers who are concerned with actual implementations, and are accompanied by Lyapunov-based analysis for establishing stability and performance guarantees.
- This book presents a powerful methodology developed by the authors
- Contains an elegant new treatment of some long standing problems in delay systems
- Control designs are given by explicit formulae and presented alongside stability analysis
Product details
November 2013Hardback
9781611973174
320 pages
260 × 183 × 19 mm
0.72kg
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Table of Contents
- Preface
- 1. Introduction
- Part I:
- 2. Linear systems with input and state delays
- 3. Linear systems with distributed delays
- 4. Application: automotive catalysts
- 5. Nonlinear systems with input delay
- Part II:
- 6. Linear systems with time-varying input delay
- 7. Robustness of linear constant-delay predictor feedback to time-varying delay perturbations
- 8. Nonlinear systems with time-varying input delay
- 9. Nonlinear systems with simultaneous time-varying delays on the input and the state
- Part III:
- 10. Predictor feedback design when the delay is a function of the state
- 11. Stability analysis for forward-complete systems with input delay
- 12. Stability analysis for locally stabilizable systems with input delay
- 13. Nonlinear systems with state delay
- 14. Robustness of nonlinear constant-delay predictors to time- and state-dependent delay perturbations
- 15. State-dependent delays that depend on delayed states
- Appendix A. Basic inequalities
- Appendix B. Input-to-output stability
- Appendix C. Lyapunov stability, forward-completeness, and input-to-state stability
- Appendix D. Parameter projection
- Bibliography
- Index.
