Quadratic stabilization of LPV system by an LTI controller based on ILMI algorithm

被引：5
|
作者：
Xie, Wei [1 ]
机构：
[1] S China Univ Technol, Coll Automat Sci & Technol, Guangzhou 510641, Peoples R China
来源：
MATHEMATICAL PROBLEMS IN ENGINEERING | 2007年 / 2007卷
关键词：
D O I：
10.1155/2007/28262
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
A linear time-invariant (LTI) output feedback controller is designed for a linear parameter-varying (LPV) control system to achieve quadratic stability. The LPV system includes immeasurable dependent parameters that are assumed to vary in a polytopic space. To solve this control problem, a heuristic algorithm is proposed in the form of an iterative linear matrix inequality (ILMI) formulation. Furthermore, an effective method of setting an initial value of the ILMI algorithm is also proposed to increase the probability of getting an admissible solution for the controller design problem. Copyright (c) 2007 Wei Xie. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
引用
收藏
页数：9
相关论文
共 50 条
  • [31] Development of Rotating Pendulum Stabilization Algorithm and Research of System Properties with the Controller
    Sablina, G. V.
    Stazhilov, I. V.
    Zhmud, V. A.
    2016 13TH INTERNATIONAL SCIENTIFIC-TECHNICAL CONFERENCE ON ACTUAL PROBLEMS OF ELECTRONIC INSTRUMENT ENGINEERING (APEIE), VOL 3, 2016, : 165 - 170
  • [32] Exponential Stability Analysis and Controller Design for LTI Positive System with Controller Failure
    Lian, Jie
    Wang, Renke
    Wu, Feiyue
    2019 12TH ASIAN CONTROL CONFERENCE (ASCC), 2019, : 179 - 184
  • [33] LPV System Common State Basis Estimation from Independent Local LTI Models
    Zhang, Qinghua
    Ljung, Lennart
    IFAC PAPERSONLINE, 2015, 48 (28): : 190 - 195
  • [34] Quadratic stability and quadratic stabilization for singular system families
    Wu, JR
    ACTA PHYSICA SINICA, 2004, 53 (02) : 325 - 330
  • [35] Robust stabilization of LTI negative imaginary systems using the nearest negative imaginary controller
    Mabrok, Mohamed
    Abdelrahim, Mahmoud
    IET CONTROL THEORY AND APPLICATIONS, 2024, 18 (04): : 399 - 407
  • [36] On LPV System Identification Algorithms for Input-Output Model Structures and their Relation to LTI System Identification
    Schulz, Erik
    Janda, Oliver
    Schultalbers, Matthias
    IFAC PAPERSONLINE, 2018, 51 (15): : 1098 - 1103
  • [37] Design of Static Output Feedback PID controller via ILMI method for a power system stabilizer
    Ghany, A. M. Abdel
    2008 12TH INTERNATIONAL MIDDLE EAST POWER SYSTEM CONFERENCE, VOLS 1 AND 2, 2008, : 267 - 273
  • [38] An Iterative Eigenvector Tangential Interpolation Algorithm for Large-Scale LTI and a Class of LPV Model Approximation
    Poussot-Vassal, C.
    Vuillemin, P.
    2013 EUROPEAN CONTROL CONFERENCE (ECC), 2013, : 4490 - 4495
  • [39] Randomized Algorithm Based Fault Detection System Design for Uncertain LTI Systems
    Krueger, M.
    Koenings, T.
    Liu, Y.
    Ding, S. X.
    Saijai, J.
    Li, L.
    IFAC PAPERSONLINE, 2017, 50 (01): : 3648 - 3653
  • [40] An intelligent based LQR controller design to power system stabilization
    Ko, HS
    Lee, KY
    Kim, HC
    ELECTRIC POWER SYSTEMS RESEARCH, 2004, 71 (01) : 1 - 9
12345