一类非线性不确定奇摄动系统的全局鲁棒控制  

Global Robust Control for a Class of Singularly Perturbed Systems with Nonlinear Uncertainties

作　　者：王隔霞[1] 陈坤[1] 汪志鸣[1] 

机构地区：[1]华东师范大学数学系,上海200062

出　　处：《华东师范大学学报（自然科学版）》2007年第1期42-46,共5页Journal of East China Normal University(Natural Science)

基　　金：国家自然科学基金(10671069);上海市重点学科建设项目

摘　　要：研究一类具有非线性扰动的奇摄动控制系统的全局鲁棒控制问题．通过采用两时标方法分别对快慢系统设计稳定控制器,并由此给出对整个系统的组合控制,它使整个系统全局鲁棒镇定．同时,给出稳定界的估计．最后给出了定理结果应用的例子．The global robust stabilization problem for a class of nonlinear uncertain two-time scale systems was studied. The robust composite feedback control for the whole systems was obtained by applying the two-time scale design approach, and the upper stability bound of ε was also given. Finally, examples of the application of the result were presented.

关 键 词：奇摄动系统 两时标设计 组合控制 鲁棒镇定 

分 类 号：O175.13[理学—数学]