文章摘要
李萍.基于LMI的不确定大系统的BIBO镇定[J].西南民族大学自然科学版,2018,44(1):87-96
基于LMI的不确定大系统的BIBO镇定
BIBO stabilization of uncertain large-scale systems via LMI approach
投稿时间:2017-12-29  修订日期:2017-12-29
中文关键词: 不确定大系统  有界输入有界输出稳定  多Lyapunov函数法  线性矩阵不等式
英文关键词: uncertain large-scale system  bounded input-bounded output stability  multiple Lyapunov function  linear matrix inequality
基金项目:国家自然科学基金(61673016);四川省教育厅创新团队(15TD0050)
作者单位E-mail
李萍 西南民族大学 liping925@126.com 
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中文摘要:
      利用多Lyapunov函数法和不等式技巧,讨论了一类连续时间大系统有界输入有界输出(BIBO)的镇定性。以线性矩阵不等式(LMI)的形式给出系统BIBO稳定的充分条件可以用MATLAB工具箱进行可行性求解并在此基础上给出了状态反馈控制器的设计方法并将其推广到系统结构中存在不确定扰动项的情形,运用Schur补引理,得到了闭环大系统鲁棒BIBO稳定的判据。最后通过算例仿真证明了结论的有效性。
英文摘要:
      This paper addresses the problem of bounded input-bounded output (BIBO) stabilization of continuous uncertain large-scale systems. The novel BIBO stability criterion is established by the multiple Lyapunov functions and presented in the form of linear matrix inequalities and can be easily solved by LMI Toolbox in Matlab. Based on the criterion, the design schedule of state feedback matrix is proposed. The robust BIBO stabilization for continuous uncertain large-scale systems is then derived. Finally, numerical examples are given to illustrate the effectiveness of the results.
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