Improved LMI representations for the analysis and the design of continuous-time systems with polytopic type uncertainty
Improved LMI representations for the analysis and the design of continuous-time systems with polytopic type uncertainty
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DOI：
10.1109/9.917671
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发表时间：
2001-04
期刊：
影响因子：
--
通讯作者：
U. Shaked
中科院分区：
文献类型：
--
作者：
U. Shaked
介绍了线性连续时不变情况下有界实引理 (BRL) 表示的简单修改。这些修改减少了在分析和设计具有多面型不确定性的系统时发生的过度设计。不确定性多胞形的每个顶点都伴随着不同的李亚普诺夫函数，从而消除了二次稳定性或稳定性的需要。这些新表示的优点通过两个例子来证明。
Simple modifications to the representation of the bounded real lemma (BRL) in the linear continuous time-invariant case are introduced. These modifications reduce the overdesign that occurs in the analysis and the design of systems with polytopic-type uncertainties. A different Lyapunov function accompanies each of the vertices of the uncertainty polytope, thus eliminating the need for quadratic stability or stabilizability. The advantages of these new representations are demonstrated by way of two examples.