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Guest Editorial: New Trends in Sliding Mode Control and Observation for Markovian Jump Systems

Hamid Reza Karimi, Yueying Wang, Qingbin Gao, and Michel Zasadzinski
International Journal of Control, Automation, and Systems, vol. 17, no. 7, pp.1611-1613, 2019

Abstract : Markovin jump systems (MJSs) are widely utilized to model many dynamical systems with abrupt structural variations governed by a Markov chain. MJSs have been successfully used in many practical systems such as manufacturing processes, economic systems, networked control systems. Due to the theoretical and practical challenges in analysis and synthesis of MJSs, in the past few decades, development of robust control or observer methodologies for this kind of systems has been a main core of theoretical and practical research in control systems community. Specifically, the complexities of MJSs include, but are not limited to, abrupt changes in their structures or parameters and incomplete transition probabilities (TPs). The complexity of the system causes considerable challenges in the tasks of analyzing stability and designing corresponding controller /observer. Therefore, there are two important subjects in system and control theory, which have been extensively studied in the past years. Specially, the sliding mode control and observation (SMC/O) techniques serve as powerful tools in this respect. Furthermore, some combined SMC/O methodologies have been developed such as adaptive SMC/O, fuzzy-model-based SMC/O and backstepping-based SMC/O for a wide range of MJSs. Therefore, it is still interesting and challenging to develop novel theories of SMC/O for MJSs with possibility of implantation to modern practical application potentials. The primary objective of this Special Issue is to provide a forum for researchers and practitioners to exchange their latest theoretical and technological achievements and to identify critical issues and challenges for future investigation on the sliding mode control and observation techniques for MJSs. With a stringent peer review process, there are 18 papers accepted by this special issue. Among the accepted papers, nine papers are dedicated to SMC for ccomplex MJSs, nine papers are dedicated to various industrial applications.

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