节点文献
不确定多重时滞随机中立系统鲁棒H_∞控制
Robust H-infinity control for uncertain stochastic neutral systems with multiple time delays
【摘要】 针对一类不确定多重时滞随机中立系统,研究了鲁棒H_∞控制设计问题.该随机中立系统的状态项、控制项、微分项、外部干扰输入项均含有时滞,系统中的不确定性满足广义匹配条件.首先,利用随机Lyapunov稳定性理论和Ito微分法则,推导出系统的随机鲁棒可镇定的充分条件.在此基础上,进一步给出了鲁棒H_∞控制器存在的充分条件.本文的研究结果以线性矩阵不等式的形式给出,仿真结果表明了此控制器设计方法的有效性.
【Abstract】 The robust H-infinity control problem for uncertain stochastic neutral systems with multiple time delays is in- vestigated in this paper.The parameter uncertainties in the systems are assumed to satisfy the generalized matching con- ditions,while the time delays exist in state,control,measure output,exogenous disturbance input and derivative state simultaneously.Firstly,stochastic robust stabilizable criterion is developed via Ito differential rule based on stochastic Lyapunov stability theory.A sufficient condition is then derived for the existence of robust H-infinity control law.All the results are expressed in terms of linear matrix inequality.Finally,a numerical example is given to show that the results are valid.
【Key words】 stochastic neutral systems; multiple time delays; linear matrix inequality; stochastic robust stabilization; robust H-infinity control;
- 【文献出处】 控制理论与应用 ,Control Theory & Applications , 编辑部邮箱 ,2006年06期
- 【分类号】TP13
- 【被引频次】12
- 【下载频次】220