Non-monotonic Approach to Robust H∞ Control of Multi-model Systems

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.

Offers tools for the analysis and design of control processes where the process can be represented by multi-modelsPresents a comprehensive explanation of recent developments in non-monotonic approaches to robust H-infinity control of multi-model systemsGives numerical examples and simulation results in each chapter to demonstrate engineering potential

1. Introduction 2. Robust H- State Feedback Controller design of discrete-time T-S Fuzzy Systems: A Non-monotonic Approach 3. Robust H- Filtering of T-S Fuzzy Systems: A Non-monotonic Approach 4. Robust H- Output Feedback Control for T-S Fuzzy Systems: A Non-monotonic Approach 5. H- State feedback Control of Discrete-time Switched Systems via One-step ahead Lyapunov Function Approach 6. Stability, l2-Gain and Robust H- Control of Switched Systems via Multi-step ahead Non-monotonic Approach 7. H- filtering for Discrete-time Switched Systems via Multi-step ahead Non-monotonic Approach 8. H- Output feedback Control of Discrete-time Switched Systems via Multi-step ahead Non-monotonic Approach 9. Robust H- state feedback Control of Discrete-time Non-homogenous Markovian Jump Systems via Multi-step Lyapunov Function Approach 10. Robust H- filtering of Discrete-time Non-homogenous Markovian Jump Systems via Multi-step Lyapunov Function Approach 11. Conclusions