一类时滞交换系统的时滞相关鲁棒H∞控制

Yijing Wang, Zhenxian Yao, Z. Zuo, Huimin Zhao
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引用次数: 11

摘要

讨论了具有时滞的切换系统的时滞相关H∞控制问题。在线性矩阵不等式(LMI)的基础上,利用Lyapunov-Razumikhin泛函方法导出了一个新的延迟相关条件,该条件可以保证切换系统在规定的Hinfin性能下渐近稳定。此外,针对线性切换系统的H∞控制问题,提出了一种切换状态反馈策略。状态反馈是指子系统之间的切换依赖于系统状态。最后,通过仿真算例验证了结果的有效性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Delay-dependent Robust H∞ Control for a Class of Switched Systems with Time Delay
The delay-dependent H∞ control for switched systems with time-delay is discussed in this paper. Based on linear matrix inequalities (LMI), a new delay-dependent condition is then derived by employing Lyapunov-Razumikhin functional method, which can ensure that the switched system is asymptotically stable with a prescribed Hinfin performance. Moreover, a switching state feedback strategy is proposed to solve the H∞ control problem for the linear switched systems. By state feedback, we mean that the switchings among subsystems are dependent on system states. Finally, a simulation example is given to illustrate the validity of the result.
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