连续时间系统多目标鲁棒滤波器设计  

Design of multi-objective robust filter for continuous time systems

作　　者：苏子漪[1] 俞立[1] 宋洪波[1] 张文安[1] 

机构地区：[1]浙江工业大学信息工程学院,浙江杭州310032

出　　处：《控制理论与应用》2010年第6期804-808,共5页Control Theory & Applications

基　　金：国家杰出青年科学基金资助项目(60525304);高等学校博士学科点专项科研基金资助项目(200803370002)

摘　　要：针对存在凸多面体参数不确定性的连续时间系统,提出了一种广义H2/α稳定的多目标鲁棒滤波器设计方法.基于参数依赖Lyapunov函数方法和线性矩阵不等式技术得到滤波误差系统鲁棒α稳定且具有给定广义H2性能的充分必要条件,并通过合适的变量替换给出了广义H2/α稳定滤波器的设计方法.最后,给出两个算例验证本文方法的有效性.The generalized H-two/α-stability filtering is investigated for continuous-time systems with polytopic type parameter uncertainties.By using parameter-dependent Lyapunov function method and the linear matrix inequality approach,we derive a necessary and sufficient condition for the filtering error system to be robustly α-stable and to achieve a prescribed generalized H-two performance.Generalized H-two/α-stability filters are designed under the above-mentioned condition and are developed by applying an appropriate variable transformation technique.Two numerical examples are given to demonstrate the effectiveness of the proposed method.

关 键 词：不确定系统 广义H2/α稳定滤波 线性矩阵不等式 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]