Positive Real Lemmas for Fractional-Order Two-Dimensional Roesser Model: The 0 < ρ1 ≤ 1,0 <ρ2 ≤ 1 Case

被引：0

作者：

Zhang, Jia-Rui ^{[1
,2
,3
]}

Lu, Jun-Guo ^{[1
,2
,3
]}

机构：

[1] Shanghai Jiao Tong Univ, Dept Automat, Shanghai, Peoples R China

[2] Minist Educ China, Key Lab Syst Control & Informat Proc, Shanghai 200240, Peoples R China

[3] Shanghai Engn Res Ctr Intelligent Control & Manag, Shanghai 200240, Peoples R China

来源：

CIRCUITS SYSTEMS AND SIGNAL PROCESSING | 2024年 / 43卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Dynamic output feedback; State feedback; Continuous two-dimensional Roesser model; Linear matrix inequality; Fractional-order; Positive real lemma; 2D CONTINUOUS SYSTEMS; STABILITY ANALYSIS; STATE; STABILIZATION; INEQUALITY;

D O I：

10.1007/s00034-023-02560-7

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

This paper investigates the positive realness of continuous fractional-order (FO) two-dimensional (2D) Roesser model with the FO rho(1)is an element of (0,1],rho(2)is an element of (0,1]. A sufficient condition that ensures that the continuous FO 2D Roesser model is stable and positive real is given as linear matrix inequalities (LMIs). Then, the positive real control problem for continuous FO 2D Roesser model with state feedback and dynamic output feedback controllers is addressed. The sufficient conditions are given in LMI form, and the parameters of the controllers can be achieved from the solution of the LMIs easily. Finally, the validity of the results is checked by several examples.

引用

页码：2073 / 2094

页数：22

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Positive Real Lemmas for Fractional-Order Two-Dimensional Roesser Model: The 0 &lt; ρ1 ≤ 1,0 &lt;ρ2 ≤ 1 Case

Positive Real Lemmas for Fractional-Order Two-Dimensional Roesser Model: The 0 < ρ1 ≤ 1,0 <ρ2 ≤ 1 Case