Improved Stabilization Conditions for Nonlinear Systems with Input and State Delays via T-S Fuzzy Model. (16th April 2018)

• Record Type: Journal Article
• Authors: Che, Chang; Peng, Jiayao; Zhao, Tao; Xiao, Jian; Zhou, Jie
• Other Names: Xie Xuejun Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2018(2018)
• Publication Date: 2018-04-16
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2018/3542352
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : This paper focuses on the problem of nonlinear systems with input and state delays. The considered nonlinear systems are represented by Takagi-Sugeno (T-S) fuzzy model. A new state feedback control approach is introduced for T-S fuzzy systems with input delay and state delays. A new Lyapunov-Krasovskii functional is employed to derive less conservative stability conditions by incorporating a recently developed Wirtinger-based integral inequality. Based on the Lyapunov stability criterion, a series of linear matrix inequalities (LMIs) are obtained by using the slack variables and integral inequality, which guarantees the asymptotic stability of the closed-loop system. Several numerical examples are given to show the advantages of the proposed results.