Regular Papers

International Journal of Control, Automation and Systems 2009; 7(3): 365-370

Published online May 30, 2009

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

© The International Journal of Control, Automation, and Systems

Sliding Mode Control for a Class of Nonlinear Ito Stochastic Systems with State and Input Delays

Yugang Niu, Bei Chen, and Xingyu Wang

East China University of Science & Technology, China

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.

Keywords Input delay, nonlinear uncertainties, sliding mode control, stochastic systems.

Article

Regular Papers

International Journal of Control, Automation and Systems 2009; 7(3): 365-370

Published online June 1, 2009 https://doi.org/10.1007/s12555-009-0305-6

Copyright © The International Journal of Control, Automation, and Systems.

Sliding Mode Control for a Class of Nonlinear Ito Stochastic Systems with State and Input Delays

Yugang Niu, Bei Chen, and Xingyu Wang

East China University of Science & Technology, China

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.

Keywords: Input delay, nonlinear uncertainties, sliding mode control, stochastic systems.

IJCAS
March 2025

Vol. 23, No. 3, pp. 683~972

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