具有衰减测量和区间不确定性的延迟交换系统的集合成员状态估计

Dongyan Chen, Zhizhen Zhou, Jun Hu, Junting Liu
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引用次数: 0

摘要

考虑到区间不确定性的影响,针对未知但有界噪声的离散时间延迟交换系统,提出了一种基于zonotope的集合成员状态估计算法。为了节约通信资源,引入了事件触发机制,以确保高效传输所需的观测信息。针对数据传输过程中的信道衰落现象,提出了一种适用于带状集-领导状态估计的区间信道衰落模型。通过考虑事件触发瞬时与子系统切换瞬时之间的不一致性,构建了异步状态观测器。利用平均停留时间法给出了状态观测器存在的充分条件。通过凸优化求解得出了最优观测器增益矩阵。在此基础上,利用区位法给出了包含状态的区位和状态估计区间。最后,通过一个数值示例和对比结果证明了所提算法的有效性和可行性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

Set‐membership state estimation for delayed switched systems with fading measurement and interval uncertainty

Set‐membership state estimation for delayed switched systems with fading measurement and interval uncertainty
Considering the influence of interval uncertainty, a set‐membership state estimation algorithm based on zonotope is proposed for discrete‐time delayed switched systems subject to unknown but bounded noises. To economize on communication resources, an event‐triggered mechanism is introduced to ensure the efficient transmission of the required observation information. For the channel fading phenomenon during data transmission, an interval channel fading model applicable to the zonotope set‐emmbership state estimation is proposed. The asynchronous state observer is constructed by considering the inconsistency between event‐triggered instant and subsystem switched instant. The sufficient conditions for the existence of the state observer are given using the average dwell time method. The optimal observer gain matrix is derived by solving convex optimization. On this basis, the zonotope and the state estimation interval containing states are given by the zonotopic method. Finally, the validity and feasibility of the proposed algorithm are demonstrated by a numerical example with the comparison result.
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