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Sliding mode control for a class of nonlinear It ô stochastic systems with state and input delays

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Abstract

This paper deals with the problem of sliding mode control (SMC) for a class of nonlinear stochastic systems. The nonlinear uncertainties are unknown and unmatched. There exist state and input delays. A special switching function is designed such that the insensitivity of the system can be guaranteed throughout the entire response of the system from the initial time instance. Both the sliding surface and the sliding mode controller exist if a set of matrix inequalities is feasible. A simulation example is given to illustrate the proposed method.

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Authors and Affiliations

  1. School of Information Science & Engineering, East China University of Science & Technology, Shanghai, 200237, P. R.China

    Yugang Niu, Bei Chen & Xingyu Wang

Authors
  1. Yugang Niu
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  2. Bei Chen
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  3. Xingyu Wang
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Corresponding author

Correspondence to Yugang Niu.

Additional information

Recommended by Editorial Board member Poo Gyeon Park under the direction of Editor Young Il lee. The research was partially supported by NNSF under Grant (60674015, 60674089), the Technology Innovation Key Foundation of Shanghai Municipal Education Commission (09ZZ60), Shanghai Leading Academic Discipline Project (B504), China.

Yugang Niu received the Ph.D. degree in Control Theory and Control Engineering Automation from Nanjing University of Science and Technology in 2001. His research interests include nonlinear control, stochastic control systems, sliding mode control and network congestion control.

Bei Chen received the B.S. degree in Automation from East China University of Science & Technology in 2008. Her current research areas are sliding mode control, and networked control systems.

Xingyu Wang received the Ph.D. degree in Industrial Automation from the East China Chemical Institute in 1984. His current research areas primarily cover control theory and applications, intelligent control, and brain control with its wide range of applications.

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Niu, Y., Chen, B. & Wang, X. Sliding mode control for a class of nonlinear It ô stochastic systems with state and input delays. Int. J. Control Autom. Syst. 7, 365–370 (2009). https://doi.org/10.1007/s12555-009-0305-6

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  • DOI: https://doi.org/10.1007/s12555-009-0305-6

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