Hybrid control of switched LFT uncertain systems with time-varying input delays
Hybrid control of switched LFT uncertain systems with time-varying input delays
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DOI：
10.1080/00207179.2021.1975197
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发表时间：
2021-09
影响因子：
2.1
通讯作者：
C. Yuan;Yan Gu;Weizhen Zeng
中科院分区：
文献类型：
--
作者：
C. Yuan;Yan Gu;Weizhen Zeng
研究了一类切换不确定系统的混合控制问题。所考虑的切换系统服从线性分式变换（LFT）形式的结构不确定动态和时变输入时滞。提出了一种新的混合控制器，它由三个主要组成部分：积分二次约束（IQC）动态，连续动态，跳跃动态。IQC动态是通过利用鲁棒控制理论的方法来开发的，并用于解决时变输入延迟的影响。通过不仅反馈测量输出而且反馈一些系统的内部信号来构造连续动态。跳跃动态在每个切换时刻针对IQC动态和连续动态的状态强制跳跃（更新/重置）。在此基础上，在平均停留时间框架下，多个李雅普诺夫函数的整个混合闭环系统的鲁棒稳定性。此外，相关的控制综合条件的充分特点是线性矩阵不等式，可以有效地解决。一个非线性开关电子电路系统的调节应用实例证明了该方法的有效性和实用性。
This paper addresses the problem of hybrid control for a class of switched uncertain systems. The switched system under consideration is subject to structured uncertain dynamics in a linear fractional transformation (LFT) form and time-varying input delays. A novel hybrid controller is proposed, which consists of three major components: the integral quadratic constraint (IQC) dynamics, the continuous dynamics, and the jump dynamics. The IQC dynamics are developed by leveraging methodologies from robust control theory and are utilised to address the effects of time-varying input delays. The continuous dynamics are structured by feeding back not only measurement outputs but also some system's internal signals. The jump dynamics enforce a jump (update/reset) at every switching time instant for the states of both IQC dynamics and continuous dynamics. Based on this, robust stability of the overall hybrid closed-loop system is established under the average dwell time framework with multiple Lyapunov functions. Moreover, the associated control synthesis conditions are fully characterised as linear matrix inequalities, which can be solved efficiently. An application example on regulation of a nonlinear switched electronic circuit system has been used to demonstrate effectiveness and usefulness of the proposed approach.