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研究一类时滞不确定随机Markovian跳变系统的滑模控制问题。首先,给出了由有限维状态空间中齐次Mar-kovian过程产生的跳跃参数,利用次可达的概念,给出了该系统的状态轨线逼近确定滑模面的条件;其次,设计了滑模变结构控制器,保证系统运动到达滑模是次可达的,并且给出了系统滑动运动为均方渐近稳定的充分条件;最后,通过仿真例子说明了本文方法的可行性与有效性。
Abstract：Sliding mode control problem is concerned for a class of uncertain stochastic Markovian jump systems with time-delay.Firstly,some jumping parameters are given which are generated from a homogeneous Markov process in finite dimensional state space.A condition is obtained for the state trajectories to approach approximately the specified sliding surface in the system by the concept of the subordinated reachability for the sliding motion;Secondly,a sliding mode variable structure controller,which ensured that the sliding motion is subordinated reachable,is designed.Furthermore,a sufficient condition is given such that the sliding motion is mean-square asymptotical stability.Finally,a simulation example is proposed to demonstrate the feasibility and effectiveness of the obtained results in this paper.
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基本信息:
DOI：10.16441/j.cnki.hdxb.2013.03.017
中图分类号:O231.3
引用信息:
[1]孟波,高存臣,考永贵,等.一类时滞不确定随机Markovian跳变系统的滑模控制[J],2013,43(03):104-112.DOI:10.16441/j.cnki.hdxb.2013.03.017.
基金信息:
国家自然科学基金项目(60974025)资助