平均停留时间开关LPV系统的鲁棒L1滤波

Yanhui Li, Qian Shi
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引用次数: 1

摘要

针对一类状态空间矩阵和时滞依赖于实时测量参数的切换线性变参数系统,提出了一种鲁棒L1滤波方法。首先利用多个时延相关Lyapunov-Krasovskii函数,建立了切换LPV系统的时延相关L1性能准则。由于李雅普诺夫函数与系统参数矩阵之间存在耦合,采用松弛矩阵变量对其进行解耦。由于对参数的依赖性,采用了近似基函数和网格技术,将L1滤波器的求解转化为有限维凸优化问题。基于最小平均停留时间(ADT)的开关逻辑和参数线性矩阵不等式(PLMIs)技术,所得到的滤波器保证了滤波误差系统在预定L1干扰衰减水平下的指数稳定。算例验证了该方法的有效性。
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Robust L1 filtering for switched LPV systems with average dwell time
In this paper, a robust L1 filtering method is proposed for a class of switched linear parameter varying (LPV) systems in which the state-space matrices and the time delay rely on real-time measured parameter. By using multiple delay-dependent Lyapunov-Krasovskii function, the delay-dependent L1 performance criterion for the switched LPV systems is first established. As there exists coupling between Lyapunov function and system parameter matrices, we utilized a slack matrix variable to decouple it. Because of the dependence on parameter, approximate basis function and gridding technique are utilized, and the solution for the L1 filters can be transformed into finite dimensional convex optimization problem. Based on the switching logic with the minimum average dwell time (ADT) and parameter linear matrix inequalities (PLMIs) technique, the resulting filters guarantee the filtering error systems to be exponentially stable with a prespecified L1 disturbance attenuation level. A numerical example is presented to verify the effectiveness of the proposed method.
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