Email this article NEW RESULTS ON FINITE-TIME GUARANTEED COST CONTROL OF LINEAR UNCERTAIN CONFORMABLE FRACTIONAL-ORDER SYSTEMS
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Received: 07/10/19 Revised: 18/02/20 Published: 20/02/20Authors
1. Nguyen Thi Phuong
, TNU - University of Technology2. Nguyen Tai Giap, College of Statistics, Bac Ninh
Abstract
In this paper, we investigate the problem of finite-time guaranteed cost control of linear uncertain conformable fractional order systems. Firstly, a new cost function is defined. Then, by using some properties of conformable fractional calculus, some new sufficient conditions for the design of a state feedback controller that makes the closed-loop systems finite-time stable and guarantees an adequate cost level of performance is derived via linear matrix inequalities, therefore can be efficiently solved by using existing convex algorithms. A numerical example is given to illustrate the effectiveness of the proposed method.
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DOI: https://doi.org/10.34238/tnu-jst.2020.02.2169
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