Robust Approximate Simulation for Hierarchical Control of Piecewise Affine Systems under Bounded Disturbances

被引：0
|
作者：
Song, Zihao [1 ]
Kurtz, Vince [1 ]
Welikala, Shirantha [1 ]
Antsaklis, Panos J. [1 ]
Lin, Hai [1 ]
机构：
[1] Univ Notre Dame, Dept Elect Engn, Notre Dame, IN 46556 USA
来源：
2022 AMERICAN CONTROL CONFERENCE, ACC | 2022年
基金：
美国国家科学基金会;
关键词：
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Piecewise affine (PWA) systems are widely applied in many practical cases such as the control of nonlinear systems and hybrid dynamics. However, most of the existing PWA control methods have poor scalability with respect to the number of modes and system dimensions and may not be robust to the disturbances in performance. In this paper, we present a robust approximate simulation based control method for PWA systems under bounded external disturbances. First, a lower-dimensional linear system (abstraction) and an associated interface are designed to enable the output of the PWA system (concrete system) to track the output of the abstraction. Then, a Lyapunov-like simulation function is designed to show the boundedness of the output errors between the two systems. Furthermore, the results obtained for linear abstraction are extended to the case that a simpler PWA system is the abstraction. To illustrate the effectiveness of the proposed approach, simulation results are provided for two design examples.
引用
收藏
页码：1543 / 1548
页数：6
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