Passivity-based analysis of sampled and quantized control implementations

被引：4
|
作者：
Xu, Xiangru [1 ]
Ozay, Necmiye [2 ]
Gupta, Vijay [3 ]
机构：
[1] Univ Wisconsin, Dept Mech Engn, Madison, WI 53706 USA
[2] Univ Michigan, Dept Elect Engn & Comp Sci, Ann Arbor, MI 48109 USA
[3] Univ Notre Dame, Dept Elect Engn, Notre Dame, IN 46556 USA
来源：
AUTOMATICA | 2020年 / 119卷
关键词：
Dissipativity; Passivity indices; Quantized control; Approximate bisimulation; Symbolic control; TO-STATE STABILITY; SYSTEMS; STABILIZATION; DISCRETE; DISSIPATIVITY; FRAMEWORK;
D O I：
10.1016/j.automatica.2020.109064
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper studies the performance of a continuous controller when implemented on digital devices via sampling and quantization, by leveraging passivity analysis. Degradation of passivity indices from a continuous-time control system to its sampled, input and output quantized model is studied using a notion of quasi-passivity. Based on that, the passivity property of a feedback-connected system where the continuous controller is replaced by its sampled and quantized model is studied, and conditions that ensure the state boundedness of the interconnected system are provided. Additionally, the approximate bisimulation-based control implementation where the controller is replaced by its approximate bisimilar symbolic model whose states are also quantized is analyzed. Several examples are provided to illustrate the theoretical results. (C) 2020 Elsevier Ltd. All rights reserved.
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页数：14
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