Average dwell time approach to L 2 -L∞1 control of switched delay systems via dynamic output feedback
Average dwell time approach to L 2 -L∞1 control of switched delay systems via dynamic output feedback
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DOI：
10.1049/iet-cta.2008.0315
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发表时间：
2009-10
影响因子：
2.6
通讯作者：
Ligang Wu;T. Qi;Zhiguang Feng
中科院分区：
文献类型：
--
作者：
Ligang Wu;T. Qi;Zhiguang Feng
研究了具有时变时滞的连续时间切换系统的l2 -L∞控制问题。设计了动态输出反馈（DOF）控制器，假设该控制器与原系统的开关信号相同。利用平均停留时间方法和分段Lyapunov函数技术，给出了一个时滞相关的充分条件，以保证闭环系统的指数稳定性和加权l2 -L infin性能，并给出了衰减估计。建立了期望自由度控制器的可解性条件，并给出了所有期望自由度控制器的显式参数化。最后，通过数值算例说明了所提理论的有效性。
This study is concerned with the L 2 -L infin control problem for continuous-time switched systems with time-varying delay. A dynamic output feedback (DOF) controller is designed, which is assumed to be switching with the same switching signal as in the original system. By using an average dwell time approach and the piecewise Lyapunov function technique, a delay-dependent sufficient condition is proposed to guarantee the exponential stability and a weighted L 2 -L infin performance for the closed-loop system with the decay estimate explicitly given. The corresponding solvability condition for a desired DOF controller is established, and an explicit parametrisation of all desired DOF controllers is also given. Finally, a numerical example is given to illustrate the effectiveness of the proposed theories.