Delay-Dependent and Order-Dependent Guaranteed Cost Control for Uncertain Fractional-Order Delayed Linear Systems

Mathematics

JoséA. Tenreiro Machado¹  Yi Chai²  Fei Qi²  Liping Chen³ 

[1] Department of Electrical Engineering, Institute of Engineering, Polytechnic of Porto, R. Dr. António Bernardino de Almeida, 431, 4249-015 Porto, Portugal;School of Automation, Chongqing University, Chongqing 400044, China;School of Electrical Engineering and Automation, Hefei University of Technology, Hefei 230009, China;

关键词: fractional-order systems;    guaranteed cost control;    input delay;    LMI approach;   

DOI  :  10.3390/math9010041

来源: DOAJ

【 摘 要 】

This paper addresses the guaranteed cost control problem of a class of uncertain fractional-order (FO) delayed linear systems with norm-bounded time-varying parametric uncertainty. The study is focused on the design of state feedback controllers with delay such that the resulting closed-loop system is asymptotically stable and an adequate level of performance is also guaranteed. Stemming from the linear matrix inequality (LMI) approach and the FO Razumikhin theorem, a delay- and order-dependent design method is proposed with guaranteed closed-loop stability and cost for admissible uncertainties. Examples illustrate the effectiveness of the proposed method.

【 授权许可】

Unknown