A study on a new criterion for minimum-energy perfect control in the state-space framework

被引:7
|
作者
Hunek, Wojciech P. [1 ]
Krok, Marek [1 ]
机构
[1] Opole Univ Technol, Inst Control Engn, 76 Proszkowska St, PL-45758 Opole, Poland
关键词
Energy norm; multivariable perfect control; inverses of nonsquare matrices; linear time-invariant multiple input multiple output discrete-time plants; state-space; ADAPTIVE VIBRATION CONTROL; MODEL; BEAM;
D O I
10.1177/0959651818823093
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this article, an advanced study concerning the energy cost of the perfect control algorithm is provided. An application of different nonunique matrix inverses into perfect control law has resulted in remarkable influence on both control and state signals. Following the newly obtained issues, covering the minimum-energy behavior, a new related criterion is proposed here. Based on deterministic norm we can, in a simple way, estimate the crucial energy performance. Simulation examples made in MATLAB/Simulink environment show the high potential of a new approach considered in the article.
引用
收藏
页码:779 / 787
页数:9
相关论文
共 50 条
  • [1] Towards a new minimum-energy criterion for nonsquare LTI state-space perfect control systems
    Hunek, W. P.
    Krok, M.
    2018 5TH INTERNATIONAL CONFERENCE ON CONTROL, DECISION AND INFORMATION TECHNOLOGIES (CODIT), 2018, : 122 - 127
  • [2] New Interesting Facts About Minimum-Energy Perfect Control for LTI Nonsquare State-Space Systems
    Hunek, Wojciech P.
    2017 22ND INTERNATIONAL CONFERENCE ON METHODS AND MODELS IN AUTOMATION AND ROBOTICS (MMAR), 2017, : 274 - 278
  • [3] A New Geometric-Oriented Minimum-Energy Perfect Control Design in the IMC-Based State-Space Domain
    Hunek, Wojciech Przemyslaw
    Feliks, Tomasz
    IEEE ACCESS, 2020, 8 : 41733 - 41739
  • [4] An Application of Polynomial Matrix σ-Inverse in Minimum-Energy State-Space Perfect Control of Nonsquare LTI MIMO Systems
    Hunek, Wojciech P.
    2015 20TH INTERNATIONAL CONFERENCE ON METHODS AND MODELS IN AUTOMATION AND ROBOTICS (MMAR), 2015, : 252 - 255
  • [5] New SVD-based matrix H -inverse vs. minimum-energy perfect control design for state-space LTI MIMO systems
    Hunek, Wojciech P.
    2016 20TH INTERNATIONAL CONFERENCE ON SYSTEM THEORY, CONTROL AND COMPUTING (ICSTCC), 2016, : 14 - 19
  • [6] Pole-Free vs. Minimum-Norm Right Inverse in Design of Minimum-Energy Perfect Control for Nonsquare State-Space Systems
    Krok, Marek
    Hunek, Wojciech P.
    BIOMEDICAL ENGINEERING AND NEUROSCIENCE, 2018, 720 : 184 - 194
  • [7] Inverse-Based Methods to Minimum-Energy MV Control for Nonsquare State-Space System
    Hunek, Wojciech P.
    Korniak, Jacek K.
    2017 22ND INTERNATIONAL CONFERENCE ON METHODS AND MODELS IN AUTOMATION AND ROBOTICS (MMAR), 2017, : 554 - 557
  • [8] Application of Generalized Inverses in the Minimum-Energy Perfect Control Theory
    Feliks, Tomasz
    Hunek, Wojciech Przemyslaw
    Stanimirovic, Predrag S. S.
    IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS, 2023, 53 (07): : 4560 - 4575
  • [9] Further towards the analytical solution of minimum-energy perfect control design problem
    Hunek, Wojciech P.
    Feliks, Tomasz
    2018 23RD INTERNATIONAL CONFERENCE ON METHODS & MODELS IN AUTOMATION & ROBOTICS (MMAR), 2018, : 643 - 647
  • [10] Stochastic minimum-energy control
    Gashi, Bujar
    SYSTEMS & CONTROL LETTERS, 2015, 85 : 70 - 76