Optimal guaranteed cost control of uncertain 2-D discrete state-delayed systems described by the Roesser model via memory state feedback

被引:4
作者
Tandon, Akshata [1 ]
Dhawan, Amit [1 ]
Tiwari, Manish [1 ]
机构
[1] Motilal Nehru Natl Inst Technol, Dept Elect & Commun Engn, Allahabad 211004, Uttar Pradesh, India
关键词
2-D discrete systems; guaranteed cost control; linear matrix inequality; memory state feedback; Roesser model; state-delayed systems; SPACE DIGITAL-FILTERS; LMI-BASED CRITERION; OVERFLOW OSCILLATIONS; STABILITY ANALYSIS; 2-DIMENSIONAL SYSTEMS; ASYMPTOTIC STABILITY; SWITCHED SYSTEMS; H-INFINITY; ABSENCE; STABILIZATION;
D O I
10.1177/0142331218754623
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 is concerned with the problem of optimal guaranteed cost control via memory state feedback for a class of uncertain two-dimensional (2-D) discrete state-delayed systems described by the Roesser model with norm-bounded uncertainties. A linear matrix inequality (LMI)-based sufficient condition for the existence of memory state feedback guaranteed cost controllers is established and a parameterized representation of such controllers (if they exist) is given in terms of feasible solutions to a certain LMI. Furthermore, a convex optimization problem with LMI constraints is formulated to select the optimal guaranteed cost controllers that minimize the upper bound of the closed-loop cost function. The proposed method yields better results in terms of least upper bound of the closed-loop cost function as compared with a previously reported result.
引用
收藏
页码:285 / 294
页数:10
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