圆盘约束下抵御传感器故障的静态输出可靠控制  

Reliable static output control against sensor failures under disc constraints

作　　者：姚波[1] 叶倩玉 武全胜[2] 王福忠[3] 何新[1] YAO Bo;YE Qianyu;WU Quansheng;WANG Fuzhong;HE Xin(College of Mathematics and Systems Science,Shenyang Normal University,Shenyang 110034,China;Department of Mathematics and Computer,Chaoyang Teachers College,Chaoyang 122000,China;Foundation Department,Shenyang Institute of Engineering,Shenyang 110136,China)

机构地区：[1]沈阳师范大学数学与系统科学学院,沈阳110034 [2]朝阳师范高等专科学校数学计算机系,辽宁朝阳122000 [3]沈阳工程学院基础部,沈阳110036

出　　处：《沈阳师范大学学报（自然科学版）》2020年第5期412-416,共5页Journal of Shenyang Normal University:Natural Science Edition

基　　金：辽宁省科技厅科学技术计划项目(20170540823)。

摘　　要：针对具有传感器连续增益单故障的线性定常系统,研究了在圆盘约束条件下的静态输出反馈可靠控制器的设计问题。首先,在特定的圆盘区域内,给出了无故障系统中静态输出反馈控制器存在的充要条件和设计方法;其次,当传感器发生连续增益单故障时,系统的部分极点跳出特定的圆盘区域,系统的某些瞬时特性失效;然后,采用线性矩阵不等式(LMI)的方法,对连续增益故障模型进行凸组合处理,给出了故障系统中静态输出反馈可靠控制器存在的充要条件和设计方法,这样设计出的可靠控制器可使闭环系统长效保持渐近稳定性,系统的极点均配置在特定的圆盘区域内,获得相应良好的瞬时特性;最后,通过数值仿真算例验证了此设计方法的有效性和可行性。Aiming at the linear steady-state system with continuous gain and single fault of the sensor,the problem of designing a reliable controller with static output feedback under the constraint of a disc is studied.First of all,the sufficient and necessary conditions and design methods for the existence of a static output feedback controller for a trouble-free system are given in the specified disc area.When the sensor has a continuous gain single fault,some of the poles of the system jump out of the specific disk area,and some transient characteristics of the system fail.Then,the linear matrix inequality(LMI)method is used to carry out convex combination processing for the continuous gain fault model,and the necessary and sufficient conditions and design methods for the existence of a reliable controller are given.The obtained reliable controller can keep the asymptotic stability of the closed-loop system all the time,and the poles of the system are all arranged in the designated disk area to obtain corresponding good instantaneous characteristics.Finally,the validity and feasibility of the design method are verified by numerical simulation.

关 键 词：传感器故障 静态输出反馈 线性系统 极点配置 线性矩阵不等式(LMI) 凸组合 

分 类 号：O231[理学—运筹学与控制论] TP273[理学—数学]