Publisher Description

This book presents analysis and design for a class of stochastic systems with semi-Markovian jump parameters. It explores systematic analysis of semi-Markovian jump systems via sliding mode control strategy which makes up the shortages in the analysis and design of stochastic systems. This text provides a novel estimation method to deal with the stochastic stability of semi-Markovian jump systems along with design of novel integral sliding surface. Finally, Takagi-Sugeno fuzzy model approach is brought to deal with system nonlinearities and fuzzy sliding mode control laws are provided to ensure the stabilization purpose. Features:

• Presents systematic work on sliding mode control (SMC) of semi-Markvoain jump systems.
• Explores SMC methods, such as fuzzy SMC, adaptive SMC, with the presence of generally uncertain transition rates.
• Provides novel method in dealing with stochastic systems with unknown switching information.
• Proposes more general theories for semi-Markovian jump systems with generally uncertain transition rates.
• Discusses practical examples to verify the effectiveness of SMC theory in semi-Markovian jump systems.

Table of Contents

1. Introduction. 2. Stochastic Stability of Semi-Markovian Jump Systems With Generally Uncertain Transition Rates. 3. Fuzzy Integral Sliding Mode Control of Semi-Markovian Jump Systems. 4. Fuzzy Sliding Mode Control For Finite-Time Synthesis of Semi-Markovian Jump Systems. 5. Adaptive Fuzzy Sliding Mode Control of Semi-Markovian Jump Systems. 6. Decentralized Adaptive Sliding Mode Control of Large-Scale Semi-Markovian. 7. Reduced-Order Adaptive Sliding Mode Control for Switching Semi-Markovian  Jump  Delayed Systems. 8. Outlook

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