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This book provides robust analysis and synthesis tools for Markovian jump systems in the finite-time domain with specified performances. It explores how these tools can make the systems more applicable to fields such as economic systems, ecological systems and solar thermal central receivers, by limiting system trajectories in the desired bound in a given time interval.
Robust Control for Discrete-Time Markovian Jump Systems in the Finite-Time Domain focuses on multiple aspects of finite-time stability and control, including:
- finite-time H-infinity control;
- finite-time sliding mode control;
- finite-time multi-frequency control;
- finite-time model predictive control; and
- high-order moment finite-time control for multi-mode systems
and also provides many methods and algorithms to solve problems related to Markovian jump systems with simulation examples that illustrate the design procedure and confirm the results of the methods proposed.
The thorough discussion of these topics makes the book a useful guide for researchers, industrial engineers and graduate students alike, enabling them systematically to establish the modeling, analysis and synthesis for Markovian jump systems in the finite-time domain.
List of contents
1. Introduction.- 2. Finite-Time Stability and Stabilization for Discrete-Time Jumping Systems.- 3. Finite-Time Stability and Stabilization for Jumping Systems Governed by Deterministic Switches.- 4. Finite-Time Stability and Stabilization for Jumping Systems with Non-Homogenous Transition Probabilities.- 5. Finite-Time H-Infinity Control for Multi-Mode Jumping Systems.- 6. Sliding Mode Control for Jumping Systems in Finite Time Domain.- 7. Finite-Time Multiple Frequency Control for Jumping Systems Based on De-Randomization.- 8. Self-Triggered Finite-Time Control for Multi-Mode Jumping Systems.- 9. High-Order Moment Stabilization for Jumping Systems in Finite Time Domain.- 10. Conclusion.
About the author
Professor
Xiaoli Luan received her BSc in automation and PhD in control theory and control engineering from Jiangnan University in 2002, and 2010, respectively. She is now a Professor in the Institute of Automation at the same university. Her research interests are focused on modeling, control and optimization for complex industrial processes. She has authored or coauthored more than 100 articles in professional journals, conference proceedings, and technical reports.
Professor Shuping He received his B.S. degree in automation and his Ph.D. degree in control theory and control engineering from Jiangnan University, in 2005 and 2011, respectively. From 2010 to 2011, he was a Visiting Scholar with the Control Systems Centre, at the University of Manchester, and from 2011 to 2013 he was a Senior Lecturer with Anhui University, before becoming a Professor there. His current research interests include control theory & control systems, systems modeling, methods and applications, signal processing and artificial intelligence. He has coauthored a book about stochastic systems and authored or coauthored over authored over 90 papers in professional journals, conference proceedings, and technical reports.
Professor Fei Liu received his BSc and MSc degrees from the Wuxi Institute of Light Industry in 1987 and 1990 respectively, and his PhD from Zhejiang University in 2002. He has had several academic and teaching positions, including his current role of Professor at the Institute of Automation of Jiangnan University. His research interests include advanced control theory, state estimation, industrial process monitoring and optimization. He's authored or co-authored numerous journal articles and conference papers
