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

Fei Qi, Yi Chai, Liping Chen and José A. Tenreiro Machado
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Fei Qi: School of Automation, Chongqing University, Chongqing 400044, China
Yi Chai: School of Automation, Chongqing University, Chongqing 400044, China
Liping Chen: School of Electrical Engineering and Automation, Hefei University of Technology, Hefei 230009, China
José A. Tenreiro Machado: Department of Electrical Engineering, Institute of Engineering, Polytechnic of Porto, R. Dr. António Bernardino de Almeida, 431, 4249-015 Porto, Portugal

Mathematics, 2020, vol. 9, issue 1, 1-13

Abstract: 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.

Keywords: fractional-order systems; guaranteed cost control; input delay; LMI approach (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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