New results on finite‐time guaranteed cost control of uncertain polytopic fractional‐order systems with time‐varying delays

Author:

Thanh Nguyen Truong1,Thuan Mai Viet2ORCID,Tuan Tran Ngoc3

Affiliation:

1. Department of Mathematics University of Mining and Geology Hanoi Vietnam

2. Department of Mathematics and Informatics TNU–University of Sciences Thainguyen Vietnam

3. Faculty of Basic Science Hung Yen University of Technology and Education Hung Yen Vietnam

Abstract

AbstractThis article deals with the problem of finite time guaranteed cost control for uncertain polytopic fractional‐order systems with time‐varying delays. A linear quadratic cost function is considered as a performance measure for the closed‐loop system. By using Laplace transform and linear matrix inequalities (LMIs), a guaranteed cost controller design is presented and sufficient conditions for the existence of a finite time guaranteed cost state‐feedback control for the system are given in terms of LMIs. Two numerical examples are given to illustrate the effectiveness of the obtained result.

Publisher

Wiley

Subject

Applied Mathematics,Control and Optimization,Software,Control and Systems Engineering

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