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		Jie TIAN,Xuejun XIE,Chenghui ZHANG.[en_title][J].Control Theory and Technology,2008,6(1):74~79.[Copy]

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JieTIAN,XuejunXIE,ChenghuiZHANG
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Received:September 13, 2006Revised:July 02, 2007

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State feedback stabilization for high-order stochastic nonlinear systems with zero dynamics

Jie TIAN, Xuejun XIE, Chenghui ZHANG

(Institute of Automation, Qufu Normal University, Qufu Shandong 273165, China;School of Electrical Engineering and Automation, Xuzhou Normal University, Xuzhou Jiangsu 221116, China;School of Control Science and Control Engineering, Shandong University, Jinan Shandong 250061, China)

Abstract:

In this paper, for a class of high-order stochastic nonlinear systems with zero dynamics which are neither necessarily feedback linearizable nor affine in the control input, the problem of state feedback stabilization is investigated for the first time. Under some weaker assumptions, a smooth state feedback controller is designed, which ensures that the closed-loop system has an almost surely unique solution on [0,∞), the equilibrium at the origin of the closed-loop system is globally asymptotically stable in probability, and all the states can be regulated to the origin almost surely. A simulation example demonstrates the control scheme.

Key words: High-order stochastic nonlinear systems Zero dynamics State feedback Stabilization