一类非线性参数化系统的鲁棒自适应H_∞控制  

Robust adaptive H_∞ control for a class of nonlinearly parameterized systems

作　　者：高芳征[1] 尚艳玲[2] 袁付顺[1] 

机构地区：[1]安阳师范学院数学与统计学院,河南安阳455002 [2]安阳师范学院计算机教学部,河南安阳455002

出　　处：《安徽大学学报（自然科学版）》2011年第4期20-25,共6页Journal of Anhui University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(61073065);河南省基础与前沿技术研究计划项目(092300410145);河南省教育厅自然科学基金资助项目(2009B110003;2010B120001)

摘　　要：针对一类带有未知虚拟控制系数的非线性参数化系统,利用参数分离技术和Backstepp ing设计方法构造自适应H?控制器,使闭环系统的干扰输入在L2增益下对系统输出的影响任意小,且无外扰时,系统内稳.仿真例子验证了主要结论.The problem of adaptive H_∞ control was addressed for a class of nonlinearly parameterized systems with unknown virtual control coefficients.Using parameter separation and Backstepping technique,a novel adaptive H∞ controller was constructed.The proposed controller guaranteed the effect from external disturbance to the system output in sense of L2 gain arbitrarily small.And the system states were asymptotically stable without disturbance.Simulation results were also given to illustrate correctness of the main results.

关 键 词：非线性参数化系统 干扰衰减 自适应 BACKSTEPPING 

分 类 号：O231.2[理学—运筹学与控制论]