不确定中立型时滞系统的鲁棒控制  

Robust control for linear neutral systems with uncertainties

作　　者：张冬雯[1] 高峻岭[1] 

机构地区：[1]河北科技大学信息科学与工程学院,河北石家庄050018

出　　处：《电机与控制学报》2007年第6期666-671,共6页Electric Machines and Control

基　　金：河北省科技攻关项目资助(07215601D-3)

摘　　要：针对含有非匹配条件的范数有界线性不确定中立型时滞系统,研究该类系统的鲁棒稳定和二次性能控制问题。基于Lyapunov泛函方法,导出该系统的稳定性和性能指标与时滞及其导数有关的充分条件,该条件等价于线性矩阵不等式(LMI)系统的可解性问题,进而用这组线性矩阵不等式系统的可行解,给出了使此类系统鲁棒渐近稳定且满足性能指标的状态反馈控制器设计方法。通过数值实例说明了控制器求解算法的有效性。The problem for the robust stability and quadratic performance control of linear neutral time-delay systems is studied with non-match norm-bounded uncertainties. Based on Lyapunov functional metha sufficient criterion for stability and quadratic performance of the systems, which is dependent on the size of the time-delay and the size of its derivative, is derived and it is shown that this condition is equivalent to the solvability of a set certain linear matrix inequalities （LMIs）. Furthermore, the design method of a set of desired state-feedback controller can be constructed in terms of the feasible solutions to the LMIs, which is feasible. Finally, the numerical examples illustrate the validity of the proposed method.

关 键 词：LYAPUNOV泛函 线性矩阵不等式 中立型时滞系统 时滞相关 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]