变时滞不确定组合系统基于观测器的鲁棒镇定

Observer-based Robust Control for Uncertain Interconnected Systems with Time-varying Delays

研究一类孤立子系统中状态及控制输入均含有时变时滞,且互联项也含有时变时滞的不确定组合系统基于状态观测器的鲁棒控制问题。基于一组线性矩阵不等式(LMIs)解的存在性,并依据Razu-mikhin-type理论和Lyapunov稳定性理论,给出了保证系统可鲁棒分散镇定的充分条件及相应控制器的设计方法。分散控制器可通过求解一组LMIs得到。最后,利用一个数值例子验证了所给设计方法的有效性。

In this paper, an observer- based robust decentralized control problem is investigated for a class of uncertain interconnected linear systems with time - varying delays in state, input and interconnection. According to the theory of Razumikhintype and Lyapunov second method, a sufficient condition for the stability of closed - loop systems is derived. Based on the existence of the results of LMIs, both the controller and the observer are obtained. Finally, a numerical example is presented to illustrate the results given in this paper and simulation shows that the method is very effective.