On the robustness of jump linear quadratic control

被引：0

作者：

Boukas, EK ^{[1
]}

Swierniak, A ^{[1
]}

Yang, H ^{[1
]}

机构：

[1] SILESIAN TECH UNIV, DEPT AUTOMAT CONTROL, PL-44101 GLIWICE, POLAND

来源：

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL | 1997年 / 7卷 / 10期

关键词：

piecewise deterministic system; stochastic stability; Markov process; jump linear quadratic regulator; guaranteed cost control;

D O I：

暂无

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 deals with the problem of how to render the jump linear quadratic (JLQ) control robust. Mainly, we present sufficient conditions for quadratic stabilization and guaranteed cost control of uncertain jump linear system using state feedback control. The proposed control law contains two components. The first one is a JLQ control law, while the second is a nonlinear bounded term to render the system robust and whose cost is not included in the performance index. (C) 1997 by John Wiley & Sons, Ltd.

引用

页码：899 / 910

页数：12

共 50 条

[11] Multidimensional uncertain optimal control of linear quadratic models with jump
Deng, Liubao
Journal of Computational Information Systems, 2012, 8 (18): : 7441 - 7448
[12] JUMP LINEAR QUADRATIC GAUSSIAN CONTROL IN CONTINUOUS-TIME
JI, YD
CHIZECK, HJ
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1992, 37 (12) : 1884 - 1892
[13] Solutions for the Linear-Quadratic Control Problem of Markov Jump Linear Systems
J. B. R. Do Val
J. C. Geromel
O. L. V. Costa
Journal of Optimization Theory and Applications, 1999, 103 : 283 - 311
[14] Solutions for the linear-quadratic control problem of Markov jump linear systems
do Val, JBR
Geromel, JC
Costa, OLV
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1999, 103 (02) : 283 - 311
[15] DISTRIBUTIONAL ROBUSTNESS IN MINIMAX LINEAR QUADRATIC CONTROL WITH WASSERSTEIN DISTANCE
Kim, Kihyun
Yang, Insoon
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2023, 61 (02) : 458 - 483
[16] OPTIMALITY AND ROBUSTNESS OF LINEAR QUADRATIC CONTROL FOR NONLINEAR-SYSTEMS
IKEDA, M
SILJAK, DD
AUTOMATICA, 1990, 26 (03) : 499 - 511
[17] Robustness Improvement by Using Linear Quadratic Regulator Control for PMSG
Cheng, Xiaoxiao
Ait-Ahmed, M.
Benkhoris, M. F.
Ait-Ramdane, N.
Tang, Tianhao
2016 IEEE 2ND ANNUAL SOUTHERN POWER ELECTRONICS CONFERENCE (SPEC), 2016,
[18] Jump linear quadratic regulator with controlled jump rates
Boukas, EK
Liu, ZK
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2001, 46 (02) : 301 - 305
[19] Linear Quadratic Optimal Control for Discrete-time Markov Jump Linear Systems
Han, Chunyan
Li, Hongdan
Wang, Wei
Zhang, Huanshui
2018 IEEE 14TH INTERNATIONAL CONFERENCE ON CONTROL AND AUTOMATION (ICCA), 2018, : 769 - 774
[20] ROBUST JUMP LINEAR QUADRATIC CONTROL - A MODE STABILIZING SOLUTION - COMMENTS
HOPKINS, WE
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1986, 31 (11) : 1079 - 1081

← 1 2 3 4 5 →