Input and Output Finite-Level Quantized Linear Control Systems: Stability Analysis and Quantizer Design

被引：6
|
作者：
Maestrelli R. [1 ]
Coutinho D. [1 ]
de Souza C.E. [2 ]
机构：
[1] Department of Automation and Systems, Universidade Federal de Santa Catarina, PO Box 476, Florianopolis, 88040-900, SC
[2] Department of Systems and Control, Laboratório Nacional de Computação Científica (LNCC/MCTI), Petropolis, 25651-075, RJ
来源：
Journal of Control, Automation and Electrical Systems | 2015年 / 26卷 / 02期
关键词：
Discrete-time linear time-invariant systems; Finite-logarithmic quantizers; Practical stability; Quantized feedback systems;
D O I：
10.1007/s40313-014-0163-1
中图分类号：
学科分类号：
摘要：
This paper investigates the local stability of input- and output-quantized discrete-time linear time-invariant systems considering static finite-level logarithmic quantizers. The sector bound approach together with a relaxed stability notion is applied to derive an LMI-based method to estimate a set of admissible initial states and its attractor in a neighborhood of the system origin assuming that an output feedback controller and the quantizers are given. In addition, the stability analysis method is tailored to design an input and an output static finite-level logarithmic quantizers when a set of admissible initial states and an upper bound on the volume of its attractor are known. Numerical examples are presented to demonstrate the proposed stability analysis and quantizer design methods. © 2015, Brazilian Society for Automatics--SBA.
引用
收藏
页码：105 / 114
页数：9
相关论文
共 50 条
  • [31] Input/output stability of systems over finite alphabets
    Tarraf, Danielle
    Megretski, Alexandre
    Dahleh, Munther A.
    [J]. 2006 AMERICAN CONTROL CONFERENCE, VOLS 1-12, 2006, 1-12 : 4043 - +
  • [32] Control Design for Quantized Linear Systems With Saturations
    Tarbouriech, Sophie
    Gouaisbaut, Frederic
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2012, 57 (07) : 1883 - 1889
  • [33] Optimal Tracking Design for A Linear System with A Quantized Control Input
    Qi Tian
    Su Weizhou
    [J]. PROCEEDINGS OF THE 27TH CHINESE CONTROL CONFERENCE, VOL 7, 2008, : 437 - 441
  • [34] Polynomial Input-Output Stability for Linear Systems
    Paunonen, Lassi
    Laakkonen, Petteri
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2015, 60 (10) : 2797 - 2802
  • [35] Output Feedback Control of Linear Systems with Input and Output Quantization
    Coutinho, Daniel
    Fu, Minyue
    de Souza, Carlos E.
    [J]. 47TH IEEE CONFERENCE ON DECISION AND CONTROL, 2008 (CDC 2008), 2008, : 4706 - 4711
  • [36] A Finite State Output-Feedback Controller for Constrained Linear Systems with Quantized Output
    Fan, Donglei
    Tarraf, Danielle C.
    [J]. 2016 IEEE 55TH CONFERENCE ON DECISION AND CONTROL (CDC), 2016, : 4837 - 4842
  • [37] Feedback Design for Linear Control Systems with Input and Output Disturbances: A Robust Formulation
    K. O. Zheleznov
    M. V. Khlebnikov
    [J]. Automation and Remote Control, 2018, 79 : 1713 - 1721
  • [38] Feedback Design for Linear Control Systems with Input and Output Disturbances: A Robust Formulation
    Zheleznov, K. O.
    Khlebnikov, M. V.
    [J]. AUTOMATION AND REMOTE CONTROL, 2018, 79 (09) : 1713 - 1721
  • [39] Finite-dimensional characterizations of H∞ control for linear systems with delays in input and output
    Uchida, K
    Ikeda, K
    Azuma, T
    Kojima, A
    [J]. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2003, 13 (09) : 833 - 843
  • [40] Input-output approach to stability analysis of fuzzy control systems
    Calcev, G
    Gorez, R
    [J]. PROCEEDINGS OF THE 1996 IEEE INTERNATIONAL SYMPOSIUM ON INTELLIGENT CONTROL, 1996, : 265 - 270
12345