Delta算子时滞系统的可靠D-镇定

Delta算子时滞系统的可靠D-镇定

肖民卿;苏宏业;徐巍华

【期刊名称】《控制理论与应用》

【年(卷),期】2013(030)001

【摘要】研究同时含有执行器故障和传感器故障的Delta算子时滞系统的鲁棒可靠D-镇定问题.利用矩阵特征值理论和线性矩阵不等式方法,给出了Delta算子时滞系统D-稳定的充分条件,进而,针对同时含有执行器故障和传感器故障的Delta算子范数有界参数不确定时滞系统,设计鲁棒可靠D-镇定状态反馈控制器,使得对于所有容许的不确定性、执行器故障和传感器故障,Delta算子闭环时滞系统的极点均落在复平面指定圆盘区域内.最后,通过数值算例验证了控制器设计方法的可行性和有效性.%The robust reliable D-stabilization for linear uncertain time-delay systems of delta operator is studied. Based on matrix theory, a sufficient condition of D-stability for the uncertain time-delay system of delta operator is derived based on the linear matrix inequality (LMI) approach. A design method for the state-feedback robust reliable controller is developed for a class of uncertain time-delay systems of delta operator, which are with actuator failure and sensor failure. Using the controller, the poles of the closed-loop time-delay system of delta operator are displaced inside a specified disk on the complex plane for all admissible uncertainties and faults. A numerical example is provided to demonstrate the availability of the design method.

【总页数】7页(P77-83)

【作者】肖民卿;苏宏业;徐巍华

【作者单位】浙江大学智能系统与控制研究所,浙江杭州310027;福建师范大学数学与计算机科学学院,福建福州350007;浙江大学智能系统与控制研究所,浙江杭州310027;浙江大学智能系统与控制研究所,浙江杭州310027

【正文语种】中文

【中图分类】TP273

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