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Interval estimation for asynchronously switched positive systems
Automatica ( IF 6.4 ) Pub Date : 2022-06-03 , DOI: 10.1016/j.automatica.2022.110427
Zhongyang Fei, Weizhong Chen, Xudong Zhao

In this paper, the zonotopic state estimation is investigated for discrete-time switched positive systems under asynchronism. Taking into account the particularity of the positive system, new radius definition called positive generator matrix based radius (PGR) is proposed to characterize the size of state zonotope and derive linear programming conditions. First, using the merging signal technique, the estimation error system is modeled as a switched positive system with augmented switching signal. Then, we propose an iterative estimation procedure to construct the state bounding zonotope. To be more realistic, the mode-dependent weighted PGR of the resulting zonotope is allowed to increase within asynchronous intervals, and the PGR is proven to be bounded with an L disturbance attenuation performance by establishing a suitable radius function. Furthermore, the asynchronous positive observer is designed for the considered system, based on which the interval estimation is determined for the switched positive system. Finally, a simulation example is provided to verify the advantages and effectiveness of the proposed approach.



中文翻译:

异步切换正系统的区间估计

本文研究了非同步条件下离散时间切换正系统的zonotopic状态估计。考虑到正系统的特殊性,提出了一种新的半径定义,称为基于正生成矩阵的半径(PGR)来表征状态带状体的大小并推导线性规划条件。首先,使用合并信号技术,将估计误差系统建模为具有增强的切换信号的切换正系统。然后,我们提出了一种迭代估计程序来构建状态边界 zonotope。更现实地说,允许生成的 zonotope 的模式相关加权 PGR 在异步间隔内增加,并且 PGR 被证明是有界的大号通过建立合适的半径函数来实现干扰衰减性能。此外,为所考虑的系统设计了异步正观测器,在此基础上确定了切换正系统的区间估计。最后,通过仿真实例验证了所提方法的优势和有效性。

更新日期:2022-06-05
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