On Dynamic Output Feedback Guaranteed Cost Control of Uncertain Discrete-Delay Systems: LMI Optimization Approach

被引:0
作者
J. H. Park
机构
[1] Yeungnam University,School of Electrical Engineering and Computer Science
来源
Journal of Optimization Theory and Applications | 2004年 / 121卷
关键词
Discrete-delay systems; dynamic controllers; guaranteed cost stabilization; Lyapunov method; linear matrix inequalities;
D O I
暂无
中图分类号
学科分类号
摘要
In this paper, we consider a design problem of dynamic output feedback controller for guaranteed cost stabilization of discrete-delay systems with norm-bounded time-varying parameter uncertainties. A linear-quadratic cost function is considered as a performance measure for the closed-loop system. Based on the Lyapunov second method, several stability criteria for the existence of the controller are derived in terms of linear matrix inequalities (LMIs). The solutions of the LMIs can be obtained easily using existing efficient convex optimization techniques. A numerical example is given to illustrate the proposed method.
引用
收藏
页码:147 / 162
页数:15
相关论文
共 50 条
[21]   Guaranteed cost control of uncertain large-scale discrete-time systems [J].
Park, Ju H. .
Systems Analysis Modelling Simulation, 2003, 43 (02) :121-135
[22]   Robust H state feedback control of discrete-time systems with state delay: an LMI approach [J].
Leite, V. J. S. ;
Tarbouriech, S. ;
Peres, P. L. D. .
IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 2009, 26 (03) :357-373
[23]   Output feedback robust stabilization of uncertain linear systems with saturating controls: An LMI approach [J].
Henrion, D ;
Tarbouriech, S ;
Garcia, G .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1999, 44 (11) :2230-2237
[24]   Static output feedback control for linear descriptor systems: LMI approach [J].
Boukas, E. K. .
2005 IEEE INTERNATIONAL CONFERENCE ON MECHATRONICS AND AUTOMATIONS, VOLS 1-4, CONFERENCE PROCEEDINGS, 2005, :1230-1234
[25]   Guaranteed cost control of linear uncertain discrete-time impulsive systems [J].
Liu, Changqing ;
Chen, Wu-Hua .
TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL, 2015, 37 (01) :33-39
[26]   Regions of guaranteed cost for LMI-based robust model predictive controllers for systems with uncertain input delay [J].
Rossi, Fernanda Quelho ;
Waschburger, Ronaldo ;
Harrop Galvao, Roberto Kawakami .
2013 2ND INTERNATIONAL CONFERENCE ON CONTROL AND FAULT-TOLERANT SYSTEMS (SYSTOL), 2013, :584-589
[27]   H∞ observer design for uncertain nonlinear discrete-time systems with time-delay: LMI optimization approach [J].
Sayyaddelshad, Saleh ;
Gustafsson, Thomas .
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2015, 25 (10) :1514-1527
[28]   Static output feedback control of uncertain systems over uncertain communication links with guaranteed H∞ performance [J].
Haghighi, Payam ;
Tavassoli, Babak .
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2021, 31 (05) :1514-1529
[29]   Static output feedback and guaranteed cost control of a class of discrete-time nonlinear systems with partial state measurements [J].
Ibrir, Salim .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 68 (07) :1784-1792
[30]   Guaranteed cost control laws of uncertain delay networked control system [J].
Liu Jun-feng ;
Chen Xi ;
Chang Jin-zhao ;
Han Jin-fen ;
Wang Jun-biao .
PROCEEDINGS OF 2006 CHINESE CONTROL AND DECISION CONFERENCE, 2006, :847-850