Delay-dependent Output Feedback Decentralized Robust Control for Discrete Interconnected Systems
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摘要: 提出一种时滞差分不等式方法, 基于状态观测器的设计, 研究了不确定时滞离散关联系统的动态输出反馈分散鲁棒控制问题. 首先建立了一个离散高维比较原理和时滞差分不等式, 然后利用这一比较原理和时滞差分不等式给出了通过输出反馈实现系统分散鲁棒镇定的时滞相关条件. 该方法的优点是避免了构造 Lyapunov 函数的困难, 易于在工程上实现. 数值例子说明了该方法的有效性.Abstract: A delay difference inequality method (DDIM) is proposed to study the dynamic output feedback decentralized robust control for uncertain discrete interconnected systems with delays based on an observer. First, a high dimensional discrete comparison principle and a delay difference inequality are established. Second, the delay dependent conditions for decentralized robust stabilization of the systems are presented by means of dynamic output feedback, the high dimensional discrete comparison principle and the delay differenceinequality. This method is easy to be understood and used in practice. It bypasses the difficulty of selecting Lyapunov functions. Finally, a numerical example demonstrates the validity of the proposed method
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