摘要
研究含有多面体参数摄动D e lta算子系统的鲁棒H∞滤波问题.基于D e lta算子系统有界实引理,提出了新的参数依赖型鲁棒H∞性能准则.利用该性能准则,采用线性矩阵不等式技术推导了此类系统全阶鲁棒H∞滤波器存在的充分条件,并通过求解一个凸优化问题来设计滤波器.与基于二次稳定的滤波方案相比,该方法具有较小的保守性.最后以数值示例验证了所提出方法的可行性.
The problem of robust H∞ filtering for Delta operator formulated systems with uncertain parameters residing in a polytope is investigated. Based on the bounded real lemma, new robust H∞ performance criterion by means of parameter-dependent Lyapunov function is presented. According to the new performance criterion, a sufficient condition for the full-order robust H∞ filter is derived in terms of linear matrix inequalities. The designed filter can be obtained from the solution of a convex optimization problem. The proposed filter design procedure is less conservative than the strategy based on the quadratic stability notion. A numerical example is given to show the feasibility of the proposed approach.
出处
《控制与决策》
EI
CSCD
北大核心
2006年第7期739-744,共6页
Control and Decision
