SCIENCE CHINA Information Sciences, Volume 60, Issue 12: 120206(2017) https://doi.org/10.1007/s11432-017-9148-2

Integral sliding mode control design for nonlinear stochastic systems under imperfect quantization

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  • ReceivedApr 20, 2017
  • AcceptedJun 26, 2017
  • PublishedNov 7, 2017


This paper presents a sliding mode control (SMC) scheme via output-feedback approach for Itôstochastic systems under a quantization mechanism. The quantization process is formulated with the imperfection that random packet loss occurs at the logarithmic quantizer. A Luenberger observer is designed, based on the packet loss rate and the imperfect quantized measurement. A novel SMC law is synthesized by utilization of an integral sliding surface. The stochastic stability of the resulting closed-loop system is analyzed in terms of Lyapunov stability, and a set of solvable matrix inequalities are established for practical application requirements. Finally, a simulation example is employed for the illustration of the effectiveness of the presented control scheme.


This work was supported in part by National Natural Science Foundation of China (Grant Nos. 61525303, 61503099), Top-Notch Young Talents Program of China (Ligang Wu), China Postdoctoral Science Foundation Funded Projects (Grant Nos. 2015M570293, 2016T90291), and Self-Planned Task of State Key Laboratory of Robotics and System (HIT) (Grant No. 201713A).


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