Improved stabilization condition of delayed T-S fuzzy systems via an extended quadratic function negative-determination lemma

Tianqing Yang, Runmin Zou, Fang Liu, Cai Liu and Denis Sidorov

Chaos, Solitons & Fractals, 2023, vol. 175, issue P2

Abstract: This paper focuses on the stability and stabilization problems of continuous-time T-S fuzzy systems (TSFS) with variable delay. A new augmented Lyapunov–Krasovskii functional (LKF) is established by combining the negative quadratic term with the alterable delay-product-integral term. To further improve the results, an extended quadratic function negative-determination (QFND) lemma is proposed to deal with δ(t)-related quadratic function in the LKF derivative. Subsequently, based on the parallel distributed compensation (PDC) technique, a bounded delay correlation stabilization criterion is derived. Finally, the proposed methods are applied to a numerical example and an inverted pendulum system to verify their effectiveness and superiority.

Keywords: Stability and stabilization; Quadratic function negative-determination lemma; T-S fuzzy systems; Variable delay; Parallel distributed compensation (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:175:y:2023:i:p2:s0960077923009566

DOI: 10.1016/j.chaos.2023.114055

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