非线性系统的非脆弱H_∞容错控制

Non-fragile H_∞ Fault-tolerant Control of Nonlinear Networked Control System

针对存在网络诱导时延和数据丢失的非线性网络化控制系统,研究执行器发生随机故障时的非脆弱H_∞容错控制问题。所考虑的系统参数中含有时变不确定性,执行器故障的发生概率满足Bernoulli分布。首先利用Lyapunov稳定性理论和线性矩阵不等式分析方法,得到了H_∞容错控制器存在的充分条件,然后通过求解线性矩阵不等式得到非脆弱H_∞容错控制器增益的参数表达式。最后通过数值仿真例子验证了控制器设计方法的有效性。

The non-fragile H fault-tolerant control problem is studied for a class of nonlinear networked control systems with time delays and packet dropouts. The system parameters are allowed to have time-varying uncertainties, and the actuator faults are assumed to occur in a random way satisfying Bernoulli distribution. By utilizing Lyapunov stability theory and linear matrix inequality （LMI） methods, a sufficient condition for the existence of the H∞ fault-tolerant controller is derived, and then the desired non-fragile controller gain is obtained by solving the LMIs. Finally, a numerical example is provided to illustrate the effectiveness of the proposed method.