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.
引用
收藏
页数：14
相关论文
共 50 条
  • [1] Passivity-Based Robust Sampled-Data Control for Markovian Jump Systems
    Chen, Guoliang
    Sun, Jian
    Chen, Jie
    IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS, 2020, 50 (07): : 2671 - 2684
  • [2] Passivity-Based Control of Heat Exchanger Networks
    Dong, Zhe
    Li, Bowen
    Huang, Xiaojin
    PROCEEDINGS OF THE 38TH CHINESE CONTROL CONFERENCE (CCC), 2019, : 6531 - 6536
  • [3] Passivity-based attitude control with input quantization
    Lang, Xiaoyu
    Damaren, Christopher J.
    Cao, Xibin
    PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART G-JOURNAL OF AEROSPACE ENGINEERING, 2019, 233 (04) : 1546 - 1551
  • [4] Passivity-based control for bilateral teleoperation: A tutorial
    Nuno, Emmanuel
    Basanez, Luis
    Ortega, Romeo
    AUTOMATICA, 2011, 47 (03) : 485 - 495
  • [5] Passivity-Based Control of Sampled-Data Systems on Lie Groups with Linear Outputs
    McCarthy, Philip James
    Nielsen, Christopher
    IFAC PAPERSONLINE, 2016, 49 (18): : 1006 - 1011
  • [6] Passivity-Based Thermohygrometric Control in Buildings
    Okaeme, Charles Chukwunyem
    Mishra, Sandipan
    Wen, John Ting-Yung
    IEEE TRANSACTIONS ON CONTROL SYSTEMS TECHNOLOGY, 2018, 26 (05) : 1661 - 1672
  • [7] Passivity-Based Control of Nuclear Reactors
    Zhu, Yunlong
    Dong, Zhe
    Cheng, Zhonghua
    Huang, Xiaojin
    2022 41ST CHINESE CONTROL CONFERENCE (CCC), 2022, : 5211 - 5216
  • [8] On global properties of passivity-based control of an inverted pendulum
    Shiriaev, A
    Pogromsky, A
    Ludvigsen, H
    Egeland, O
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2000, 10 (04) : 283 - 300
  • [9] Passivity-based control for hybrid systems with applications to mechanical systems exhibiting impacts
    Naldi, Roberto
    Sanfelice, Ricardo G.
    AUTOMATICA, 2013, 49 (05) : 1104 - 1116
  • [10] Passivity-Based Power-Level Control of Nuclear Reactors
    Zhu, Yunlong
    Dong, Zhe
    Huang, Xiaojin
    Dong, Yujie
    Zhang, Yajun
    Zhang, Zuoyi
    ENERGIES, 2022, 15 (14)
12345