A CONVEX PARAMETERIZATION OF ROBUSTLY STABILIZING CONTROLLERS

被引:57
|
作者
RANTZER, A
MEGRETSKI, A
机构
[1] IOWA STATE UNIV SCI & TECHNOL,DEPT ELECT ENGN & COMP SCI,AMES,IA 50011
[2] ROYAL INST TECHNOL,DIV OTPIMIZAT & SYST THEORY,S-10044 STOCKHOLM 70,SWEDEN
关键词
D O I
10.1109/9.317104
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 treats synthesis of robust controllers for linear time-invariant systems. Uncertain real parameters are assumed to appear linearly in the closed loop characteristic polynomial. The main contribution is to give a convex parameterization of all controllers that simultaneously stabilize the system for all possible parameter combinations. With the new parameterization, certain robust performance problems can be stated in terms of quasi-convex optimization.
引用
收藏
页码:1802 / 1808
页数:7
相关论文
共 50 条
  • [31] Computation of All Robustly Stabilizing PID Controllers Based on H-∞ Robust Stability Condition
    Menak, Ramazan
    Tan, Nusret
    IEEE ACCESS, 2024, 12 : 140556 - 140593
  • [32] Robustly stabilizing controllers with respect to left coprime factor perturbations for irrational transfer functions.
    Curtain, RF
    2004 43RD IEEE CONFERENCE ON DECISION AND CONTROL (CDC), VOLS 1-5, 2004, : 1358 - 1363
  • [33] Calculation of Robustly Stabilizing PI Controllers for Linear Time-Invariant Systems with Multiplicative Uncertainty
    Matusu, Radek
    INTELLIGENT SYSTEMS IN CYBERNETICS AND AUTOMATION CONTROL THEORY, 2019, 860 : 259 - 263
  • [34] COMPARISON OF ROBUSTLY STABILIZING CONTROLLERS FOR A FLEXIBLE BEAM MODEL WITH ADDITIVE, MULTIPLICATIVE AND STABLE FACTOR PERTURBATIONS
    BONTSEMA, J
    CURTAIN, RF
    KUIPER, CR
    OSINGA, HM
    LECTURE NOTES IN CONTROL AND INFORMATION SCIENCES, 1993, 185 : 388 - 400
  • [35] Learning Optimal Controllers by Policy Gradient: Global Optimality via Convex Parameterization
    Sun, Yue
    Fazel, Maryam
    2021 60TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2021, : 4576 - 4581
  • [36] Calculation of robustly relatively stabilizing PID controllers for linear time-invariant systems with unstructured uncertainty
    Matusu, Radek
    Senol, Bilal
    Pekar, Libor
    ISA TRANSACTIONS, 2022, 131 : 579 - 597
  • [37] Analytic Parameterization of Stabilizing Controllers for the Surge Subsystem of the Moore-Greitzer Compressor Model
    Rubanova, Alina
    Robertsson, Anders
    Shiriaev, Anton S.
    Freidovich, Leonid B.
    Johansson, Rolf
    2013 AMERICAN CONTROL CONFERENCE (ACC), 2013, : 5257 - 5262
  • [38] A new parameterization method for all stabilizing controllers of nD systems without coprime factorizability
    Mori, K
    PROCEEDINGS OF THE 2003 IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS, VOL III: GENERAL & NONLINEAR CIRCUITS AND SYSTEMS, 2003, : 678 - 681
  • [39] The parameterization of all stabilizing simple repetitive controllers with the specified input-output characteristic
    Murakami, Iwanori
    Sakanushi, Tatsuya
    Yamada, Kou
    Ando, Yoshinori
    Hagiwara, Takaaki
    Matsuura, Shun
    ICIC Express Letters, 2010, 4 (5 B): : 1773 - 1778
  • [40] Design of Robustly Stabilizing Low Order, Stable Controllers for Two-Link Underactuated Planar Robots
    Yucesoy, Veysel
    Ozbay, Hitay
    2017 IEEE CONFERENCE ON CONTROL TECHNOLOGY AND APPLICATIONS (CCTA 2017), 2017, : 150 - 154