Finite-Time Guaranteed Cost Control for Markovian Jump Systems with Time-Varying Delays

Xikui Liu, Wencong Li, Chenxin Yao and Yan Li
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Xikui Liu: College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, China
Wencong Li: College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, China
Chenxin Yao: College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, China
Yan Li: Department of Fundamental Courses, Shandong University of Science and Technology, Jinan 250031, China

Mathematics, 2022, vol. 10, issue 12, 1-12

Abstract: In this paper, the finite-time guaranteed cost control (FTGCC) problem is addressed for Itô Markovian jump systems with time-varying delays. The aim of this paper is to design a state feedback guaranteed cost controller, such that not only the resulting closed-loop systems are finite-time stable, but also cost performance has a minimum upper bound. First, new sufficient conditions for the existence of guaranteed cost controllers are presented via the linear matrix inequality (LMI) approach. Then, based on the established conditions, the desired controllers are designed and the upper bound of cost performance is provided. In the end, an example is employed to show the validity of the obtained results.

Keywords: finite-time stability; guaranteed cost control; Markovian jump system; time-varying delay (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (4)

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