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作 者:黄可望[1] 陈冬杰 潘丰 Huang Kewang;Chen Dongjie;Pan Feng(School of Internet of Things Technology,Wuxi Institute of Technology,Wuxi Jiangsu 214121,China;Key Laboratory of Advanced Process Control for Light Industry of Ministry of Education,Jiangnan University,Wuxi Jiangsu 214122,China)
机构地区:[1]无锡职业技术学院物联网技术学院,江苏无锡214121 [2]江南大学轻工过程先进控制教育部重点实验室,江苏无锡214122
出 处:《计算机应用研究》2019年第12期3792-3796,共5页Application Research of Computers
基 金:国家自然科学基金资助项目(61773182)
摘 要:针对一类具有时变时延以及Lipschitz非线性项的网络化线性参数变化系统,研究了系统中存在外部扰动、执行器和传感器同时发生随机故障时的容错控制问题。用Bernoulli分布序列描述执行器和传感器发生的随机故障,利用自由权矩阵方法处理时变时延。根据Lyapunov-Krasovskii稳定性定理和线性矩阵不等式(LMI)方法求出H_∞容错控制器存在的充分条件,然后通过利用近似基函数和网格化技术将无限维的LMI求解问题转换为有限维的LMI问题,得到了相应的容错控制器增益。最后,通过数值仿真验证了所设计方法的有效性。For a class of networked nonlinear parameter-varying systems with time-varying delays and global Lipschitz nonlinearities,this paper studied the fault-tolerant problem when external disturbances,random actuator and sensor faults existed simultaneously. It modeled the randomly occurring faults as Bernoulli distributed white sequences with known conditional probability distributions,and handled time-varying delays by the free weight matrix method. Based on Lyapunov-Krasovskii stability theory and LMI methods,the paper derived sufficient conditions for the existence of the H_∞ fault-tolerant controller. It used the approximate basis function and the grid technique to turn the problem of solving an infinite-dimensional linear matrix inequalities into the problem of solving a finite-dimensional linear matrix inequalities. Then it obtained the corresponding fault-tolerant controller gains. Finally,numerical simulation verified the effectiveness of the proposed method.
关 键 词:容错控制 线性参数变化系统 时变时延 线性矩阵不等式
分 类 号:TP273[自动化与计算机技术—检测技术与自动化装置]
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