不确定时滞广义系统的鲁棒H_∞控制  

Robust H_∞ Control of Uncertain Singular Systems with Time-delay

作　　者：范永青[1] 金朝永[1] 胡南辉[1] 

机构地区：[1]广东工业大学应用数学学院,广东广州510006

出　　处：《广东工业大学学报》2008年第4期32-36,共5页Journal of Guangdong University of Technology

摘　　要：讨论一类含有参数不确定性和外部干扰的线性广义时滞系统的鲁棒H∞控制问题.假设不确定性是范数有界且所考虑的系统事先没有假设是正则和无脉冲,采用线性矩阵不等式处理方法,经状态反馈控制器,得到了闭环系统是正则、无脉冲和稳定的时滞相关充分性条件,并且满足一定的H∞性能指标,所得的结论可由线性矩阵不等式(LMI)问题求解.最后给出的实际算例验证了该设计方法的有效性.The problem of parametric uncertaintiy and external disturbance robust H∞ control of linear singular sys- tems with time delay is discussed. Parametric uncertainty is assumed to be norm bounded. The considered systems are not assumed to be regular and impulse-free beforehand. By using linear matrix inequality method, Delay-dependent sufficient conditions were obtained so that the closed-loop system was not only regular, impulse-free and stable, but it also satisfied a prescribed H∞ performance condition with a state feedback controller. The result can be constructed in terms of the linear-matrix inequalities（LMI）. Finally, a numerical example illsutrates the effectiveness of the design method.

关 键 词：不确定广义系统 时滞 状态反馈 线性矩阵不等式 鲁棒∞ 控制 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]