具有时变时延的网络化LPV系统的容错控制 postprint

Abstract: For a class of networked nonlinear parameter-varying (LPV) 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 linear matrix inequality (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.