STATE-FEEDBACK ADAPTIVE STABILIZING CONTROL DESIGN FOR A CLASS OF HIGH-ORDER NONLINEAR SYSTEMS WITH UNKNOWN CONTROL COEFFICIENTS

作     者：Zongyao SUN Yungang LIU Zongyao SUN Yungang LIU Zongyao SUN School of Control Science and Engineering,Shandong University,Jinan 250061,China.Yungang LIU School of Control Science and Engineering,Shandong University,Jinan 250061,China.

作者机构：School of Control Science and Engineering Shandong University Jinan 250061 China. 

出 版 物：《Journal of Systems Science & Complexity》 (系统科学与复杂性学报（英文版）)

年 卷 期：2007年第20卷第3期

页      面：350-361页

核心收录：

学科分类：0711[理学-系统科学] 07[理学] 08[工学] 070105[理学-运筹学与控制论] 081101[工学-控制理论与控制工程] 071101[理学-系统理论] 0811[工学-控制科学与工程] 0701[理学-数学] 

基　　金：The work is supported by the National Natural Science Foundation of China under Grants No.60304002 No.60674036 the Science and Technical Development Plan of Shandong Province under Grant No.2004GG4204014 

主　　题：Adaptive stabilizing control adding a power integrator high-order nonlinear systems,state-feedback unknown control coefficients. 

摘      要：In this paper, a new approach is successfully addressed to design the state-feedback adaptive stabilizing control law for a class of high-order nonlinear systems in triangular form and with unknown and nonidentical control coefficients, whose stabilizing control has been investigated recently under the knowledge that the lower bounds of the control coefficients are exactly known. In the present paper, without any knowledge of the lower bounds of the control coefficients, based on the adaptive technique and appropriately choosing design parameters, we give the recursive design procedure of the stabilizing control law by utilizing the approach of adding a power integrator together with tuning functions. The state-feedback adaptive control law designed not only preserves the equilibrium at the origin, but also guarantees the global asymptotic stability of the closed-loop states and the uniform boundedness of all the other closed-loop signals.