Affiliation:
1. Research Center for Wind Energy Systems Kunsan National University Gunsan‐si 573‐701 Republic of Korea
Abstract
SummaryThis manuscript concerns the stabilization of discrete‐time Takagi‐Sugeno (T‐S) fuzzy systems with additive time‐varying delay components. By constructing a suitable fuzzy Lyapunov‐Krasovskii functional (LKF) with membership functions, the sufficient condition of the stability criteria has been established for the discrete‐time T‐S fuzzy systems with additive time‐varying delays. To do this, the extended version of Wirtinger's inequality is used to bound the forward differences of the LKF. By utilizing the T‐S fuzzy model approach, the dynamics of each fuzzy rule is expressioned by a linear system. Then, a fuzzy controller is designed to guarantee the performance of the closed‐loop system formulated in terms of linear matrix inequalities (LMIs). Finally, the numerical simulations are carried out to demonstrate the effectiveness and feasibility of our theoretical findings.
Funder
National Research Foundation of Korea
Subject
Electrical and Electronic Engineering,Industrial and Manufacturing Engineering,Mechanical Engineering,Aerospace Engineering,Biomedical Engineering,General Chemical Engineering,Control and Systems Engineering