State-feedback H∞-type control of linear systems with time-varying parameter uncertainty

被引：0

作者：

Damm, Tobias ^{[1
]}

机构：

[1] Zentrum Mathematik, Technische Universitaet München, München,80333, Germany

来源：

Linear Algebra and Its Applications | 2002年 / 351-352卷

关键词：

State feedback - Stochastic control systems - Stochastic systems - Linear systems - Normal distribution - Riccati equations - Newton-Raphson method - Matrix algebra - Uncertainty analysis;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

This paper is concerned with stabilisation and disturbance attenuation problems for linear systems with uncertain parameters. We consider the case, where the uncertainties are possibly unbounded but have a certain normal distribution and the case, where the uncertainties are arbitrary but bounded. Criteria for the solvability of the disturbance attenuation problem are presented in terms of generalized Riccati-type matrix inequalities and equations. The main part of the paper is devoted to the analysis and solution of these equations. A numerical example is given to illustrate our results. © 2001 Elsevier Science Inc. All rights reserved.

引用

页码：185 / 210

共 50 条

[21] Hybrid state feedback H∞ robust control for a class of linear systems with time-varying norm-bounded uncertainty
Nie, H
Zhao, J
PROCEEDINGS OF THE 2003 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 2003, : 3608 - 3613
[22] On local asymptotic stabilization of the nonlinear systems with time-varying perturbations by state-feedback control
Vrabel, Robert
INTERNATIONAL JOURNAL OF GENERAL SYSTEMS, 2019, 48 (01) : 80 - 89
[23] Robust H∞ state-feedback control for linear systems
Chen, Hao
Zhang, Zhenzhen
Wang, Huazhang
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2017, 473 (2200):
[24] Periodically time-varying memory state-feedback controller synthesis for discrete-time linear systems
Ebihara, Yoshio
Peaucelle, Dimitri
Arzelier, Denis
AUTOMATICA, 2011, 47 (01) : 14 - 25
[25] Robust state-feedback impulse elimination design of uncertain time-varying descriptor linear systems
Liu, HL
Duan, GR
DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2006, 13 : 691 - 698
[26] H infinity control via output feedback for linear systems with time-varying delayed state and control
Guan, J.W.
Yang, F.W.
Kongzhi Lilun Yu Yinyong/Control Theory and Applications, 2001, 18 (04):
[27] H∞ control via output feedback for linear systems with time-varying delays in state and control input
Shieh, CS
COMPUTERS & ELECTRICAL ENGINEERING, 2002, 28 (06) : 649 - 657
[28] Adaptive robust H∞ state feedback control for linear uncertain systems with time-varying delay
Ye, Dan
Yang, Guang Hong
INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING, 2008, 22 (09) : 845 - 858
[29] Robust H∞ control for systems with time-varying parameter uncertainty and variance constraints
Wang, ZD
Unbehauen, H
CYBERNETICS AND SYSTEMS, 2000, 31 (02) : 175 - 191
[30] State-feedback Switching Linear Parameter Varying Control for Vehicle Path Following Under Uncertainty and External Disturbances
Shen, Dan
Chen, Yaobin
Li, Lingxi
2022 IEEE 25TH INTERNATIONAL CONFERENCE ON INTELLIGENT TRANSPORTATION SYSTEMS (ITSC), 2022, : 3125 - 3132

← 1 2 3 4 5 →