执行器失效的有限时间输出跟踪控制  

Finite-Time Output Tracking Control of Actuator Failure

作　　者：王力梅[1] 霍丽芳[2] WANG Li-mei;HUO Li-fang(College of Mathematics and Statistics,Normal University,Tianshui,Gansu 741000,China;Department of Mathematics and Physics,Hebei Institute of Architecture and Civil Engineering,Zhangjiakou,Hebei 075000,China)

机构地区：[1]天水师范学院数学与统计学院,甘肃天水741000 [2]河北建筑工程学院数理系,河北张家口075000

出　　处：《河北北方学院学报（自然科学版）》2020年第11期8-11,共4页Journal of Hebei North University:Natural Science Edition

摘　　要：目的针对执行器失效的真实的控制系统,提出新的李雅普诺夫函数,并建立模型对输出跟踪控制问题进行研究。方法将执行器失效问题转化为切换系统,利用李雅普诺夫方法和平均驻留时间方法,给出输出跟踪控制有限时间稳定的充分条件。结果在满足一些矩阵不等式和平均驻留时间机制下,执行器失效的输出跟踪控制是有限时间稳定的。结论在有限的时间段内,系统的输出和参考模型的输出误差很小。Objective For the real control system with actuator failure,a new Lyapunov function is proposed and a model is established to study the output tracking control problem.Methods The problem of actuator failure was transformed into a switched system.By using Lyapunov method and average dwell time method,the sufficient conditions for finite-time stability of output tracking control were given.Results Under some matrix inequalities and mean dwell time mechanism,the output tracking control with actuator failure was finite-time stable.Conclusion In a limited period of time,the error between the output of the system and that of the reference model is very small.

关 键 词：切换系统 有限时间稳定 输出跟踪控制 执行器失效 

分 类 号：O231[理学—运筹学与控制论]