Finite Frequency H8 Control of Fractional-Order Continuous-Discrete 2-D Roesser Models

被引：1
|
作者：
Zhu, Zhen [1 ,2 ]
Lu, Jun-Guo [1 ,2 ]
Zhang, Qing-Hao [1 ,2 ]
机构：
[1] Shanghai Jiao Tong Univ, Dept Automat, Minist Educ China, Key Lab Syst Control & Informat Proc, Shanghai 200240, Peoples R China
[2] Shanghai Jiao Tong Univ, Shanghai Engn Res Ctr Intelligent Control & Manage, Shanghai 200240, Peoples R China
来源：
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS | 2023年 / 70卷 / 09期
基金：
中国国家自然科学基金;
关键词：
Finite frequency; H8; control; fractional-order; continuous-discrete; Roesser model; linear matrix inequality; SYSTEMS; STABILITY; LEMMA;
D O I：
10.1109/TCSII.2023.3264548
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：
H-8 control problem of fractional-order continuous-discrete 2D Roesser models in the finite frequency is investigated in this brief. Firstly, based on the frequency partitioning method and generalized Kalman-Yakubovic?-Popov lemma, the finite frequency bounded real lemmas in form of linear matrix inequalities (LMIs) are proposed, which can be solved by LMI solvers immediately. Then, the H-8 state feedback controller is designed, and the existence conditions are established in form of bilinear matrix inequalities (BMIs). Moreover, by the provided iterative algorithm, these BMI-based conditions can be solved based on LMIs. Finally, the numerical examples are provided verify the validity of our results.
引用
收藏
页码：3403 / 3407
页数：5
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