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不确定多状态变时滞广义Lurie切换系统的鲁棒无源控制
Robust Passive Control of Uncertain Singular Lurie Switched Systems with Multiple Time-Varying Delays

DOI: 10.12677/DSC.2020.91005, PP. 50-61

Keywords: 多状态变时滞，广义Lurie切换系统，不确定性，有记忆反馈控制器，LMI
Multiple Time-Varying Delays, Singular Lurie Switched System, Uncertainty, Memory Feedback Controller, LMI

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Abstract:

本文在基于Lyapunov-Krasovskii泛函、Schur补引理及矩阵不等式方法下，讨论了一类具有不确定性多状态变时滞广义Lurie切换系统，在切换状态反馈策略下，得到了使不确定多状态变时滞Lurie切换广义系统能够渐近稳定且严格无源存在的充分性判据，为系统的综合提供了可行性判据。设计了具有记忆的反馈控制器，为系统的稳定性分析及控制器的综合提供了更多的自由度，最后的结果转化为线性矩阵不等式给出，通过数值仿真，验证了定理的有效性和实用性。
This paper considers the issues of the switching state strategy memory feedback for a class of uncertain Singular Lurie switched systems with multiple time-varying delays. Under the circumstances of a state-based switching law, and based on the Lyapunov-Krasovskii functional techniques, Schur complement lemma, and linear matrix inequality, the sufficient conditions are given for the asymptotic stability and strictly passive of uncertain switched singular systems with multiple time-varying delays. Meanwhile, robust passive controllers for each subsystem under the switching law are designed. It is believed that controller with memory should provide more freedom for robust stability analysis and synthesis controller for the systems. In the final, the results are given in the form of linear matrix inequalities (LMIs). And the validity of the conclusion is shown by numerical examples.

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