不确定时滞离散非线性系统的鲁棒耗散滤波

Robust Dissipative Filter for a Class of Discrete Time-delay Nonlinear Systems with Parameter Uncertainties

研究了一类带参数不确定性和非线性动态的离散时滞系统的鲁棒耗散滤波问题。所给系统中的不确定项是时变未知且范数有界。基于Lyapunov稳定性方法,先对参数已知而带有非线性动态的时滞离散系统,给出渐近稳定判据,然后讨论鲁棒耗散滤波器的存在条件及设计方法。在此基础上进一步考虑参数不确定性情形,将鲁棒耗散滤波器问题转化为参数确定的情况。从而将鲁棒耗散滤波器的设计问题转换为线性矩阵不等式的求解问题。最后给出仿真例子验证所得结果的有效性。

It deals with the robust dissipative filter for a class of discrete time-delay systems with parameter uncertainties and nonlinear dynamic. The uncertainties in the system are time-varying and bounded. Based on Lyapunov stability theory, gave the criteria of asymp- totic stability about discrete time-delay nonlinear systems with parameter certainties, and then discussed the existed condition of robust dissipative filter. The problem of the robust dissipative filtering can be solved in terms of a dissipative filtering problem without uncer- tainties. So, the problem of robust dissipative filter is turned into the solution of linear matrix inequalities. Finally, a numerical example is given to ~lustrate the effectiveness of the design approach.