非线性网络化控制系统的非脆弱耗散滤波器

Non-fragile dissipative filter of nonlinear networked control system

针对非线性网络化控制系统中滤波器参数的摄动问题,考虑传感器-滤波器存在随机一步时延和丢包,设计了1种非脆弱耗散全阶滤波器。滤波器参数具有范数有界不确定性。通过构造Lyapunov函数,使用线性矩阵不等式方法推导出非脆弱耗散滤波器存在的充分条件。通过解矩阵不等式得到滤波器参数的求解表达式。该滤波器不仅是非脆弱的,而且滤波误差系统满足稳定性和耗散性能要求,同时减少了状态增广带来的计算负担。仿真算例验证了非脆弱耗散滤波器的有效性。

A non-fragile dissipative full-order filter is designed for filter parameter perturbation ofnonlinear networked control systems,considering sensor- to-filter random one-step time delays and packet dropouts. The filter parameters have norm bounded uncertainties. A sufficient condition for tlie existence of the non-fragile dissipative filter is derived by constructing appropriate Lyapunovfunctions and using linear matrix inequality metliod. A n expression for filter parameters is received by solving matrix inequalities. The proposed filter is non-fragile and reduces tlie cothe state augmentation,and the filtering error system satisfies the stability and dissipativeperformance. The effectiveness of the proposed approach is demonstrated by numerical simulation.