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Sliding Mode Control of Switched Stochastic Hybrid Systems

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Recent Advances in Sliding Modes: From Control to Intelligent Mechatronics

Part of the book series: Studies in Systems, Decision and Control ((SSDC,volume 24))

Abstract

This chapter is concerned with the sliding mode control of continuous- and discrete-time switched stochastic hybrid systems. By designing integral-type sliding surface functions, the sliding mode dynamics are established for continuous- and discrete-time systems, respectively. Then, by applying the average dwell time method and the piecewise Lyapunov function technique, sufficient conditions are proposed for the mean-square exponential stability of the sliding mode dynamics. A weighted \(\mathcal{H}_{\infty}\) performance is also proposed for the discrete-time case. Sliding mode controllers for reaching motions of the continuous- and discrete-time switched stochastic hybrid systems are then designed, such that the trajectories of the resulting closed-loop systems can be driven onto the prescribed sliding surfaces and maintained there for all subsequent times. Finally, a numerical example is provided to illustrate the effectiveness of the proposed design scheme.

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Authors and Affiliations

  1. Research Institute of Intelligent Control and Systems, Harbin Institute of Technology, Harbin, 150001, China

    Ligang Wu, Huijun Gao & Shen Yin

Authors
  1. Ligang Wu
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  2. Huijun Gao
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  3. Shen Yin
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Correspondence to Ligang Wu .

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Editors and Affiliations

  1. RMIT University, Carlton, Victoria, Victoria, Australia

    Xinghuo Yu

  2. Hacettepe University, Beytepe, Ankara, Turkey

    Mehmet Önder Efe

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Wu, L., Gao, H., Yin, S. (2015). Sliding Mode Control of Switched Stochastic Hybrid Systems. In: Yu, X., Önder Efe, M. (eds) Recent Advances in Sliding Modes: From Control to Intelligent Mechatronics. Studies in Systems, Decision and Control, vol 24. Springer, Cham. https://doi.org/10.1007/978-3-319-18290-2_11

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  • DOI: https://doi.org/10.1007/978-3-319-18290-2_11

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-18289-6

  • Online ISBN: 978-3-319-18290-2

  • eBook Packages: EngineeringEngineering (R0)

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