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中文摘要：
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.
英文摘要：
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.
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