Dissipativity-based sliding mode control of switched stochastic systems

Ligang Wu, Wei Xing Zheng, Huijun Gao

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    390 Citations (Scopus)

    Abstract

    This technical brief is concerned with dissipativity analysis and dissipativity-based sliding mode control (SMC) of continuous-time switched stochastic systems. Firstly, a sufficient condition is proposed to guarantee the mean-square exponential stability and strict dissipativity for the switched stochastic system. Then, an integral-type sliding surface function is designed for establishing a sliding mode dynamics, which can be formulated by a switched stochastic system with an external disturbance/uncertainty. Dissipativity analysis and synthesis are both investigated for the sliding mode dynamics, and consequently sufficient conditions are derived, which pave the way for solving the dissipativity analysis and control problems. Moreover, a SMC law is synthesized to drive the system trajectories onto the predefined sliding surface in a finite time. Finally, the efficiency of the theoretical findings is demonstrated by an illustrative example.
    Original languageEnglish
    Pages (from-to)785-791
    Number of pages7
    JournalIEEE Transactions on Automatic Control
    Volume58
    Issue number3
    DOIs
    Publication statusPublished - 2013

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