QUADRATIC CONTROL FOR LINEAR TIME-VARYING SYSTEMS

被引：67
|
作者：
DAPRATO, G [1 ]
ICHIKAWA, A [1 ]
机构：
[1] SHIZUOKA UNIV, FAC ENGN, HAMAMATSU, SHIZUOKA 432, JAPAN
来源：
SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 1990年 / 28卷 / 02期
关键词：
D O I：
10.1137/0328019
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
An infinite-dimensional linear time-varying system on the interval (-∞, ∞) is considered. We introduce three quadratic problems: the infinite horizon problem, and one-sided and two-sided average cost problems. A Riccati equation on (-∞, ∞) is considered first and sufficient conditions for the existence and uniqueness of a bounded solution are given. Then by dynamic programming the quadratic problems are solved. Similar problems in the stochastic case are considered.
引用
收藏
页码：359 / 381
页数：23
相关论文
共 50 条
  • [31] Inverse Linear Quadratic Regulator of Neutral Systems with Time-Varying Delay
    Fukui, Ken
    Kubo, Tomohiro
    Oya, Hidetoshi
    2013 IEEE INTERNATIONAL CONFERENCE ON MECHATRONICS AND AUTOMATION (ICMA), 2013, : 1475 - 1480
  • [32] Iterative learning algorithm for linear time-varying with a quadratic criterion systems
    Huang, SN
    Tan, KK
    Lee, TH
    PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART I-JOURNAL OF SYSTEMS AND CONTROL ENGINEERING, 2002, 216 (I3) : 309 - 316
  • [33] Hierarchy of Quadratic Lyapunov Functions for Linear Time-Varying and Related Systems
    Abdelraouf, Hassan
    Feron, Eric
    Klett, Corbin
    Abate, Matthew
    Coogan, Samuel
    JOURNAL OF GUIDANCE CONTROL AND DYNAMICS, 2024, 47 (04) : 597 - 608
  • [34] Linear quadratic regulator for time-varying hyperbolic distributed parameter systems
    Aksikas, Ilyasse
    Forbes, J. Fraser
    IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 2010, 27 (03) : 387 - 401
  • [35] Modeling and quadratic stabilization of a class of linear uncertain time-varying systems
    Jetto, L.
    Orsini, V.
    Romagnoli, R.
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2017, 27 (10) : 1810 - 1825
  • [36] ON LINEAR-QUADRATIC DISSIPATIVE CONTROL PROCESSES WITH TIME-VARYING COEFFICIENTS
    Fabbri, Roberta
    Johnson, Russell
    Novo, Sylvia
    Nunez, Carmen
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2013, 33 (01) : 193 - 210
  • [37] Linear-Quadratic-Gaussian Control with Time-Varying Disturbance Forecast
    Cheng, Jiangnan
    Tang, Ao
    2022 IEEE 61ST CONFERENCE ON DECISION AND CONTROL (CDC), 2022, : 479 - 484
  • [38] ON REAL-TIME CONTROL OF TIME-VARYING LINEAR SYSTEMS
    MEDITCH, JS
    GIBSON, JE
    IRE TRANSACTIONS ON AUTOMATIC CONTROL, 1962, AC 7 (04): : 3 - &
  • [39] OPTIMAL OVERTAKING CONTROL FOR LINEAR TIME-VARYING SYSTEMS
    ICHIKAWA, A
    INTERNATIONAL JOURNAL OF CONTROL, 1990, 51 (06) : 1425 - 1437
  • [40] Dissipative control for linear systems with time-varying uncertainty
    Xie, SL
    Xie, LH
    Ge, SS
    PROCEEDINGS OF THE 1997 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 1997, : 2531 - 2535
12345