Sliding Mode Control of Uncertain Parameter-Switching Hybrid Systems

In control theory, sliding mode control (SMC) is a nonlinear control method that alters the dynamics of a nonlinear system by application of a discontinuous control signal that forces the system to slide along a cross-section of the system's normal behaviour. In recent years, SMC has been successfully applied to a wide variety of practical engineering systems including robot manipulators, aircraft, underwater vehicles, spacecraft, flexible space structures, electrical motors, power systems, and automotive engines.

Sliding Mode Control of Uncertain Parameter-Switching Hybrid Systems addresses the increasing demand for developing SMC technologies and comprehensively presents the new, state-of-the-art sliding mode control methodologies for uncertain parameter-switching hybrid systems. It establishes a unified framework for SMC of Markovian jump singular systems and proposes new SMC methodologies based on the analysis results. A series of problems are solved with new approaches for analysis and synthesis of switched hybrid systems, including stability analysis and stabilization, dynamic output feedback control, and SMC. A set of newly developed techniques (e.g. average dwell time, piecewise Lyapunov function, parameter-dependent Lyapunov function, cone complementary linearization) are exploited to handle the emerging mathematical/computational challenges.

Key features:

• Covers new concepts, new models and new methodologies with theoretical significance in system analysis and control synthesis
• Includes recent advances in Markovian jump systems, switched hybrid systems, singular systems, stochastic systems and time-delay systems
• Includes solved problems
• Introduces advanced techniques

Sliding Mode Control of Uncertain Parameter-Switching Hybrid Systems is a comprehensive reference for researchers and practitioners working in control engineering, system sciences and applied mathematics, and is also a useful source of information for senior undergraduate and graduates studying in these areas.

Ligang Wu received the PhD degree in Control Theory and Control Engineering in 2006 from Harbin Institute of Technology, China. He was a Research Associate at Imperial College London, UK, and The University of Hong Kong, Hong Kong; a Senior Research Associate at City University of Hong Kong, Hong Kong. Now, he is a Professor of Control Science and Engineering at Harbin Institute of Technology, Harbin, China. Prof. Wu’s current research interests include sliding mode control, switched hybrid systems, optimal control and filtering, aircraft control, and model reduction.
Prof. Wu has been in the editorial board of a number of international journals, including IEEE Transactions on Automatic Control, IEEE Access, Information Sciences, Signal Processing, IET Control Theory and Applications, Circuits Systems and Signal Processing, Multidimensional Systems and Signal Processing, and Neurocomputing. He is also an Associate Editor for the Conference Editorial Board, IEEE Control Systems Society.

Peng Shi received the PhD degree in Electrical Engineering from the University of Newcastle, Australia; the PhD degree in Mathematics from the University of South Australia; and the DSc degree from the University of Glamorgan, UK. He was a lecturer at the University of South Australia; a senior scientist in the Defence Science and Technology Organisation, Australia; and a professor at the University of Glamorgan, UK. Now, he is a professor at The University of Adelaide; and Victoria University, Australia. Prof. Shi's research interests include system and control theory, computational intelligence, and operational research.
Prof. Shi is a Fellow of the Institution of Engineering and Technology, and a Fellow of the Institute of Mathematics and its Applications. He has been in the editorial board of a number of international journals, including IEEE Transactions on Automatic Control; Automatica; IEEE Transactions on Fuzzy Systems; IEEE Transactions on Cybernetics; and IEEE Transactions on Circuits and Systems-I.

Xiaojie Su was born in Henan, China, in 1985. He received the B.E. degree in automation from Jiamusi University, Jiamusi, China, in 2008, the M.S. degree in Control Science and Engineering from Harbin Institute of Technology, Harbin, China, in 2010, and the PhD degree in Control Science and Engineering from Harbin Institute of Technology, Harbin, China, in 2013. Currently, he is a Professor of College of Automation at Chongqing University, Chongqing, China. His research interests include sliding mode control, robust filtering, T-S fuzzy systems, and model reduction. As a Guest Editor, he has organized two special issues in Mathematical Problems in Engineering and Abstract and Applied Analysis, respectively.