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线性定常时滞系统的鲁棒控制
引用本文:王常宇. 线性定常时滞系统的鲁棒控制[J]. 工业控制计算机, 2011, 24(6): 60-61,63
作者姓名:王常宇
作者单位:大连交通大学电气信息学院,辽宁大连,116028
摘    要:在建立线性定常时滞系统模型的基础上,给出了时滞系统是独立鲁棒稳定的条件,并利用Lyapunov理论给予一些定理的证明,同时设计出了使闭环系统时滞独立鲁棒稳定的状态反馈控制器(即时滞独立鲁棒镇定问题),最后给出的一个数值例子中用Matlab编程求出了符合条件的正定矩阵和控制律,从算例结果验证了所得出的结论。

关 键 词:线性时滞系统  鲁棒控制  线性矩阵不等式

Robust Control of Linear Time-invariant Time-delay Systems
Wang Changyu. Robust Control of Linear Time-invariant Time-delay Systems[J]. Industrial Control Computer, 2011, 24(6): 60-61,63
Authors:Wang Changyu
Abstract:Based on the model of a linear time-invariant systems with time delay,this paper gives the conditions of independent robust stability about delay system,and giving some theorems proof by Lyapunov theory,at the same time,designing a state feedback controller,it can keep closed-loop time-delay system independent robust stability(delay independent robust stabilization problem),at last,giving a numerical example,and getting positive definite matrices and control law which meets the conditions by MATLAB programming,can verify conclusions from the numerical results.
Keywords:linear time-delay systems  robust control  linear matrix inequality
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