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 Synchronization via Sampled-data Control Scheme
    Chen, Mengshen
    Li, Feng
    Wang, Bing
    Shen, Hao
    Zhao, Huanyu
    2017 SEVENTH INTERNATIONAL CONFERENCE ON INFORMATION SCIENCE AND TECHNOLOGY (ICIST2017), 2017, : 8 - 13
  • [2] Stabilization of the Acrobot via sampled-data passivity-based control
    Mattioni, Mattia
    Moreschini, Alessio
    Monaco, Salvatore
    Normand-Cyrot, Dorothee
    2022 EUROPEAN CONTROL CONFERENCE (ECC), 2022, : 699 - 704
  • [3] 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
  • [4] Passivity-Based Control of Robots
    Chopra, Nikhil
    Fujita, Masayuki
    Ortega, Romeo
    Spong, Mark W.
    IEEE CONTROL SYSTEMS MAGAZINE, 2022, 42 (02): : 63 - 73
  • [5] Passivity-Based Control of UPFCs
    Chu, Chia-Chi
    Tsai, Hung-Chi
    2009 INTERNATIONAL CONFERENCE ON POWER ELECTRONICS AND DRIVE SYSTEMS, VOLS 1 AND 2, 2009, : 1249 - +
  • [6] Passivity-based analysis of the minimal control synthesis algorithm
    Hodgson, SP
    Stoten, DP
    INTERNATIONAL JOURNAL OF CONTROL, 1996, 63 (01) : 67 - 84
  • [7] 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
  • [8] Passivity-based Control of Synchronous Motors
    Xue, Hua
    Wang, Yufei
    2012 3RD IEEE PES INNOVATIVE SMART GRID TECHNOLOGIES EUROPE (ISGT EUROPE), 2012,
  • [9] Study on passivity-based control of TCSC
    Wang, ZT
    Mei, SW
    Ye, J
    Pang, XY
    Li, MJ
    POWERCON 2002: INTERNATIONAL CONFERENCE ON POWER SYSTEM TECHNOLOGY, VOLS 1-4, PROCEEDINGS, 2002, : 1918 - 1922
  • [10] Krasovskii and Shifted Passivity-Based Control
    Kawano, Yu
    Kosaraju, Krishna Chaitanya
    Scherpen, Jacquelien M. A.
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2021, 66 (10) : 4926 - 4932
12345