一类非线性时滞系统的鲁棒H_∞滤波器设计

The Robust H-Infinity Filter Design for a Class of Nonlinear Time-Delay Systems

研究了满足下列条件的时滞系统的鲁棒H∞滤波问题:假设系统的参数矩阵带有不确定性,且不确定参数是时变且范数有界的.在系统的状态与输出中同时都含有非线性无穷分布时滞与离散时滞.在设计滤波器的过程中,引入了一个新的Lyapunov-Krasovskii泛函.通过线性矩阵不等式技术,提出了参数不确定时滞系统的鲁棒H∞滤波器存在的时滞依赖条件.鲁棒H∞滤波器可以保证带有参数不确定性的滤波误差系统是渐近稳定的,并且满足给定的H∞性能指标.通过仿真的研究证明了该方法的有效性.

The problem of robust H-infinity filter is researched for a class of uncertain time-delay systems,which are subject to norm-bounded and time-varying parameter uncertainties.Discrete time delay and infinite distributed delay are in both the state and measurement equations of parameter uncertain time-delay system.A Lyapunov-Krasovskii functional is introduced during the design procedure of filter.A delay-dependent condition based on Linear Matrix Inequality is proposed for robust H-infinity filter of parameter uncertain time-delay system.The robust H-infinity filter can guarantee that the resulting filter error system with parameter uncertainties is asymptotical stable and satisfies a prescribed H-infinity performance level.Simulation results show that the proposed design method for filter is effective.