Improved LMI Representation for Bounded Real Criterion of Systems with Polytope-Type Uncertainty
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摘要: 利用描述系统方法对状态空间系统的H∞性能进行分析,得到了一个新的界实准则的 线性矩阵不等式表示,该表示所具有的分离结构在分析多面体不确定系统的鲁棒性能时,可以 有效地减少分析过程的保守性.与存在的同类结果相比,克服了一些理论和数值计算上的不足． 两个数值例子说明了该方法的有效性.
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关键词:
- 界实准则 /
- 线性矩阵不等式 /
- 描述系统方法 /
- 多面体不确定性 /
- 参数相关Lyapunov矩阵
Abstract: An improved LMI representation for bounded real criterion is derived by employing a descriptor system approach．Due to its decoupling property between system matrices and Lyapunov matrices, the new criterion can reduce conservatism inherent in robust performance analysis of systems with convex polytope-type uncertainty. The results exhibit some favorable features in computation through two numerical examples. -
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