具有马尔科夫分布时延网络控制系统的保性能控制器设计

The Guaranteed-Cost Controller Design for Networked-Control System with Markov Delay

针对一类具有马尔科夫时延的网络控制系统,讨论了其保性能控制器的设计问题,并提出了一种通过切换反馈增益来维持网络控制系统性能的设计方法。首先把网络控制系统建模为一类具有不确定性参数的离散系统,利用Lyapunov稳定性理论,讨论了系统的稳定性,结合一个最优二次型性能指标,推导出该类系统保性能控制器的存在性。最后通过仿真算例验证了此控制方法的有效性和可行性。

Regarding a class of Markov time-delay networked control systems,the problem of designing guaranteed cost controller is researched and a switching feedback gain method is proposed to maintain system performance.Firstly,the networked control systems are modeled as discrete systems with uncertain parameters.Through using Lyapunov stability theory,the system stability is discussed.Then,by combining with a given optimal quadratic performance index,the existence of guaranteed cost controllers is derived,and the corresponding design method of guaranteed cost controller is proposed,which is based on LMI toolbox.Finally,the effectiveness and feasibility of the control method are verified with a simulation case.