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Guaranteed Cost Sliding Mode Control of Switched Systems with Known Sojourn Probabilities

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  • Control Theory and Applications
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Abstract

This paper investigates the problem of the optimal guaranteed cost sliding mode control (SMC) for a class of uncertain switched systems, in which the sojourn probabilities staying in each subsystem are available. By introducing a set of stochastic variables, a new type of switched system model with known sojourn probabilities is constructed. And then, the SMC law is synthesized such that the reachability of the specified common sliding surface can be ensured. Moreover, some sufficient conditions are derived to ensure the mean-square stability of the closed-loop system with quadratic guaranteed cost function. The optimal solution of the guaranteed SMC scheme is established for the closed-loop systems. Finally, a numerical example is provided to illustrate the proposed method.

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Authors and Affiliations

  1. Key Laboratory of Advanced Control and Optimization for Chemical Process (East China University of Science and Technology), Ministry of Education, Shanghai, 200237, China

    Haijuan Zhao & Yugang Niu

Authors
  1. Haijuan Zhao
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  2. Yugang Niu
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Corresponding author

Correspondence to Yugang Niu.

Additional information

Recommended by Editor Jessie (Ju H.) Park. This work was supported in part by the NNSF (61673174, 61773162).

Haijuan Zhao is now pursuing her Ph.D. degree in Control Sciences and Engineering at East China University of Science and Technology, Shanghai, China. Her current research interests include switched systems, finite-time stability, and sliding mode control.

Yugang Niu is a professor with the East China University of Science & Technology. His research Areas includes sliding mode control, stochastic systems, wireless sensor networks, microgrid.

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Zhao, H., Niu, Y. Guaranteed Cost Sliding Mode Control of Switched Systems with Known Sojourn Probabilities. Int. J. Control Autom. Syst. 16, 2822–2831 (2018). https://doi.org/10.1007/s12555-018-0093-y

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  • DOI: https://doi.org/10.1007/s12555-018-0093-y

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