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《Journal of Chongqing Institute of Technology》 2005-11
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Nonlinear controller of stochastic systems——back-stepping approach

JIANG Ming-hui~(1,2),SHEN Yi~2,LIAO Xiao-xin~2(1.Department of Mahematic,Three Gorges University,YiChang 443000,China;2.Institute of System Engineering,Huazhong University of Science and Techonlogy,Wuhan 430074,China)  
The properties of the controlled nonlinear stochastic systems are analyzed by the Lyapunov second method and Ito formula together with Young Inequality,and nonlinear controller based on back-stepping approach,which is almost sure exponentially stable under some conditions,of stochastic systems is designed.Finally,the simulation results show the validity of the designed nonlinear controller by the method of back-stepping method.
【Fund】: 国家自然科学基金资助项目(60074008 60274007);; 湖北省自然科学基金资助项目(2004ABA055)
【CateGory Index】: TM571.6
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