Analysis and Synthesis of Singular Systems provides a base for further theoretical research and a design guide for engineering applications of singular systems. The book presents recent advances in analysis and synthesis problems, including state-feedback control, static output feedback control, filtering, dissipative control, H∞ control, reliable control, sliding mode control and fuzzy control for linear singular systems and nonlinear singular systems. Less conservative and fresh novel techniques, combined with the linear matrix inequality (LMI) technique, the slack matrix method, and the reciprocally convex combination approach are applied to singular systems.
This book will be of interest to academic researchers, postgraduate and undergraduate students working in control theory and singular systems.
1. Chapter 1. Introduction - p. 1 2. Chapter 2. Dissipative control and filtering of singular systems - p. 21 3. Abstract - p. 21 4. 2.1 Dissipative control of continuous-time singular systems - p. page21 5. 2.2 Dissipative control of discrete-time singular systems - p. 30 6. 2.3 Dissipative filtering of singular systems - p. 38 7. References - p. 45 8. H∞H∞ control with transients for singular systems - p. 47 9. Delay-dependent admissibility and H∞H∞ control of discrete singular delay systems - p. 61 10. Abstract - p. 61 11. 4.1 New admissibility analysis for discrete singular systems with time-varying delay - p. page61 12. 4.2 Delay-dependent robust H∞H∞ controller synthesis for discrete singular delay systems - p. page73 13. References - p. 99 14. Chapter 5. Delay-dependent dissipativity analysis and synthesis of singular delay systems - p. 101 15. Abstract - p. 101 16. 5.1 Dissipativity analysis for discrete singular systems with time-varying delay - p. page101 17. 5.2 Dissipativity analysis and dissipative control of singular time-delay systems - p. 113 18. 5.3 Robust reliable dissipative filtering for discrete delay singular systems - p. page135 19. References - p. 157 20. Chapter 6. State-feedback control for singular Markovian systems - p. 159 21. Abstract - p. 159 22. 6.1 Admissibilization and H∞H∞ control for singular Markovian systems - p. page159 23. 6.2 Reliable dissipative control for singular Markovian systems - p. 171 24. References - p. 183 25. Chapter 7. Sliding mode control of singular stochastic Markov jump systems - p. 185 26. Chapter 8. Admissibility and admissibilization for fuzzy singular systems - p. 203 27. Abstract - p. 203 28. 8.1 Admissibility analysis for Takagi–Sugeno fuzzy singular systems with time delay - p. page203 29. 8.2 Admissibilization of singular IT2 fuzzy systems - p. 212 30. References - p. page230 31. References - p. 231 32. Notations - p. 242 33. Index - p. 245
Analysis and Synthesis of Singular Systems provides a base for further theoretical research and a design guide for engineering applications of singular systems. The book presents recent advances in analysis and synthesis problems, including state-feedback control, static output feedback control, filtering, dissipative control, H∞ control, reliable control, sliding mode control and fuzzy control for linear singular systems and nonlinear singular systems. Less conservative and fresh novel techniques, combined with the linear matrix inequality (LMI) technique, the slack matrix method, and the reciprocally convex combination approach are applied to singular systems.
This book will be of interest to academic researchers, postgraduate and undergraduate students working in control theory and singular systems.
1. Chapter 1. Introduction - p. 1 2. Chapter 2. Dissipative control and filtering of singular systems - p. 21 3. Abstract - p. 21 4. 2.1 Dissipative control of continuous-time singular systems - p. page21 5. 2.2 Dissipative control of discrete-time singular systems - p. 30 6. 2.3 Dissipative filtering of singular systems - p. 38 7. References - p. 45 8. H∞H∞ control with transients for singular systems - p. 47 9. Delay-dependent admissibility and H∞H∞ control of discrete singular delay systems - p. 61 10. Abstract - p. 61 11. 4.1 New admissibility analysis for discrete singular systems with time-varying delay - p. page61 12. 4.2 Delay-dependent robust H∞H∞ controller synthesis for discrete singular delay systems - p. page73 13. References - p. 99 14. Chapter 5. Delay-dependent dissipativity analysis and synthesis of singular delay systems - p. 101 15. Abstract - p. 101 16. 5.1 Dissipativity analysis for discrete singular systems with time-varying delay - p. page101 17. 5.2 Dissipativity analysis and dissipative control of singular time-delay systems - p. 113 18. 5.3 Robust reliable dissipative filtering for discrete delay singular systems - p. page135 19. References - p. 157 20. Chapter 6. State-feedback control for singular Markovian systems - p. 159 21. Abstract - p. 159 22. 6.1 Admissibilization and H∞H∞ control for singular Markovian systems - p. page159 23. 6.2 Reliable dissipative control for singular Markovian systems - p. 171 24. References - p. 183 25. Chapter 7. Sliding mode control of singular stochastic Markov jump systems - p. 185 26. Chapter 8. Admissibility and admissibilization for fuzzy singular systems - p. 203 27. Abstract - p. 203 28. 8.1 Admissibility analysis for Takagi–Sugeno fuzzy singular systems with time delay - p. page203 29. 8.2 Admissibilization of singular IT2 fuzzy systems - p. 212 30. References - p. page230 31. References - p. 231 32. Notations - p. 242 33. Index - p. 245
