Robust partially mode delay dependent ℋ ∞ control of discrete-time networked control systems
Robust partially mode delay dependent ℋ ∞ control of discrete-time networked control systems
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DOI：
10.1080/00207721.2011.554913
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发表时间：
2012-09
影响因子：
4.3
通讯作者：
S. Chae;Dan Huang;S. Nguang
中科院分区：
文献类型：
--
作者：
S. Chae;Dan Huang;S. Nguang
针对具有随机通信时延的离散时间系统，提出了一种部分模式时延相关的鲁棒控制器设计方法.传感器和控制器之间的通信延迟建模的有限状态马尔可夫链的转移概率矩阵是部分已知的。基于Lyapunov-Krasovskii泛函得到了系统的稳定性判据，并提出了一种新的部分模态时滞相关状态反馈控制器的设计方法.控制器是通过求解线性矩阵不等式优化问题，锥互补线性化算法。数值例子说明了所提出的控制器的有效性。
This article proposes a methodology for designing a partially mode delay dependent ℋ∞ controller design for discrete-time systems with random communication delays. Communication delays between sensors and controller are modelled by a finite state Markov chain where the transition probability matrix is partially known. Stability criteria are obtained based on Lyapunov–Krasovskii functional and a novel methodology for designing a partially mode delay dependent state feedback controller has been proposed. The controller is obtained by solving linear matrix inequality optimisation problems using cone complimentarity linearisation algorithm. A numerical example is provided to illustrate the effectiveness of the proposed controller.