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.
出处
《控制理论与应用》
EI
CAS
CSCD
北大核心
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)
关键词
不确定系统
广义H2/α稳定滤波
线性矩阵不等式
uncertain systems
generalized H-two/α-stability filtering
linear matrix inequalities
