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Improved Stabilization Conditions for Nonlinear Systems with Input and State Delays via T-S Fuzzy Model

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  • Chang Che
  • Jiayao Peng
  • Tao Zhao
  • Jian Xiao
  • Jie Zhou

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.

Suggested Citation

  • Chang Che & Jiayao Peng & Tao Zhao & Jian Xiao & Jie Zhou, 2018. "Improved Stabilization Conditions for Nonlinear Systems with Input and State Delays via T-S Fuzzy Model," Mathematical Problems in Engineering, Hindawi, vol. 2018, pages 1-14, April.
    • Handle: RePEc:hin:jnlmpe:3542352
    DOI: 10.1155/2018/3542352
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