摘要
This paper is concerned with the problem of robust sliding-mode filtering for a class of uncertain nonlinear discrete-time systems with time-delays. The nonlinearities are assumed to satisfy global Lipschitz conditions and parameter uncertainties are supposed to reside in a polytope. The resulting filter is of the Luenberger type with the discontinuous form. A sufficient condition with delay-dependency is proposed for existence of such a filter. And the desired filter can be found by solving a set of matrix inequalities. The resulting filter adapts for the systems whose noise input is real functional bounded and not be required to be energy bounded. A numerical example is given to illustrate the effectiveness of the proposed design method.
This paper is concerned with the problem of robust sliding-mode filtering for a class of uncertain nonlinear discrete-time systems with time-delays. The nonlinearities are assumed to satisfy global Lipschitz conditions and parameter uncertainties are supposed to reside in a polytope, The resulting filter is of the Luenberger type with the discontinuous form. A sufficient condition with delay-dependency is proposed for existence of such a filter, And the desired filter can be found by solving a set of matrix inequalities. The resulting filter adapts for the systems whose noise input is reel functional bounded and not bc required to be energy bounded, A numerical example is given to illustrate the effectiveness of the proposed design method.
出处
《自动化学报》
EI
CSCD
北大核心
2006年第1期96-100,共5页
Acta Automatica Sinica
基金
Supported by National Natural Science Foundation of P. R. China (69874008)
关键词
鲁棒控制
滑动模式
滤波器
离散系统
状态延迟
线性矩阵不等式
Sliding-mode filter, discrete-time systems, state-delayed, nonlinear, linear matrix inequalities （LMIs）
