Non-monotonic Approach to Robust H∞ Control of Multi-model Systems focuses on robust analysis and synthesis problems for multi-model systems based on the non-monotonic Lyapunov Functionals (LFs) approach that enlarges the stability region and improves control performance. By fully considering the diversity of switching laws, the multi-step time difference, the multi-step prediction, and the expansion of system dimension, the non-monotonic LF can be properly constructed. The focus of this book is placed on the H∞ state feedback control, H∞ filtering and H∞ output feedback control for multi-model systems via a non-monotonic LF approach.
The book's authors provide illustrative examples to show the feasibility and efficiency of the proposed methods, along with practical examples that demonstrate the effectiveness and potential of theoretical results.
1. Chapter 1: Introduction - p. xi 2. Chapter 2: Robust H∞ State Feedback Controller Design of Discrete-Time T-S Fuzzy Systems: A Nonmonotonic Approach - p. 21 3. Chapter 3: Robust H∞ Filtering of T-S Fuzzy Systems: A Nonmonotonic Approach - p. 41 4. Chapter 4: Robust H∞ Output Feedback Control for T-S Fuzzy Systems: A Nonmonotonic Approach - p. 60 5. Chapter 5: Stability and H∞ Control of Discrete-Time Switched Systems via One-Step Ahead Lyapunov Function Approach - p. 73 6. Chapter 6: Stability, l2-Gain and Robust H∞ Control of Switched Systems via Multistep Ahead Nonmonotonic Approach - p. 90 7. Chapter 7: Robust H∞ Filtering for Average Dwell-Time Switched Systems via a Nonmonotonic Function Approach - p. 110 8. Chapter 8: Dissipative Dynamic Output Feedback Control for Switched Systems via Multistep Lyapunov Function Approach - p. 130 9. Chapter 9: Robust H∞ Control of Discrete-Time Nonhomogenous Markovian Jump Systems via Multistep Ahead Lyapunov Function Approach - p. 147 10. Chapter 10: Robust H∞ Filtering of Nonhomogeneous Markovian Jump Delay Systems via N-Step Ahead Lyapunov–Krasovskii Function Approach - p. 174 11. Chapter 11: Conclusions and Future Work - p. 200 12. Index - p. 205
Non-monotonic Approach to Robust H∞ Control of Multi-model Systems focuses on robust analysis and synthesis problems for multi-model systems based on the non-monotonic Lyapunov Functionals (LFs) approach that enlarges the stability region and improves control performance. By fully considering the diversity of switching laws, the multi-step time difference, the multi-step prediction, and the expansion of system dimension, the non-monotonic LF can be properly constructed. The focus of this book is placed on the H∞ state feedback control, H∞ filtering and H∞ output feedback control for multi-model systems via a non-monotonic LF approach.
The book's authors provide illustrative examples to show the feasibility and efficiency of the proposed methods, along with practical examples that demonstrate the effectiveness and potential of theoretical results.
1. Chapter 1: Introduction - p. xi 2. Chapter 2: Robust H∞ State Feedback Controller Design of Discrete-Time T-S Fuzzy Systems: A Nonmonotonic Approach - p. 21 3. Chapter 3: Robust H∞ Filtering of T-S Fuzzy Systems: A Nonmonotonic Approach - p. 41 4. Chapter 4: Robust H∞ Output Feedback Control for T-S Fuzzy Systems: A Nonmonotonic Approach - p. 60 5. Chapter 5: Stability and H∞ Control of Discrete-Time Switched Systems via One-Step Ahead Lyapunov Function Approach - p. 73 6. Chapter 6: Stability, l2-Gain and Robust H∞ Control of Switched Systems via Multistep Ahead Nonmonotonic Approach - p. 90 7. Chapter 7: Robust H∞ Filtering for Average Dwell-Time Switched Systems via a Nonmonotonic Function Approach - p. 110 8. Chapter 8: Dissipative Dynamic Output Feedback Control for Switched Systems via Multistep Lyapunov Function Approach - p. 130 9. Chapter 9: Robust H∞ Control of Discrete-Time Nonhomogenous Markovian Jump Systems via Multistep Ahead Lyapunov Function Approach - p. 147 10. Chapter 10: Robust H∞ Filtering of Nonhomogeneous Markovian Jump Delay Systems via N-Step Ahead Lyapunov–Krasovskii Function Approach - p. 174 11. Chapter 11: Conclusions and Future Work - p. 200 12. Index - p. 205
