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

  • Haijuan Zhao
  • Yugang Niu
Regular Papers Control Theory and Applications


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.


Guaranteed cost control sliding mode control sojourn probability switched systems 


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Copyright information

© Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

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

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