POSITIVITY AND STABILIZATION OF FRACTIONAL 2D LINEAR SYSTEMS DESCRIBED BY THE ROESSER MODEL

被引:12
作者
Kaczorek, Tadeusz [1 ]
Rogowski, Krzysztof [1 ]
机构
[1] Bialystok Tech Univ, Fac Elect Engn, PL-15351 Bialystok, Poland
关键词
positivity; stabilization; fractional systems; Roesser model; 2D systems; STATE-SPACE MODEL; LMI APPROACH; STABILITY; DELAYS;
D O I
10.2478/v10006-010-0006-6
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
A new class of fractional 2D linear discrete-time systems is introduced. The fractional difference definition is applied to each dimension of a 2D Roesser model. Solutions of these systems are derived using a 2D Z-transform. The classical Cayley-Hamilton theorem is extended to 2D fractional systems described by the Roesser model. Necessary and sufficient conditions for the positivity and stabilization by the state-feedback of fractional 2D linear systems are established. A procedure for the computation of a gain matrix is proposed and illustrated by a numerical example.
引用
收藏
页码:85 / 92
页数:8
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