Finite-Time H Controller Synthesis of T-S Fuzzy Systems

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Original languageEnglish
Article number8279557
Pages (from-to)1956-1963
Number of pages8
Journal / PublicationIEEE Transactions on Systems, Man, and Cybernetics: Systems
Issue number5
Online published2 Feb 2018
Publication statusPublished - May 2020


This paper studies the finite-time H∞ control problem of T-S fuzzy systems subject to external disturbances. A novel fuzzy control approach is developed on the basis of the control Lyapunov function technique and the finite-time Lyapunov theorem so that the closed-loop fuzzy system is finite-time stable with guaranteed H performance. It is shown that the proposed control approach does not require the existence of a Lyapunov function before design of the fuzzy controller in comparison with many existing control approaches to finite-time control of nonlinear systems via the technique of control Lyapunov functions, and thus, the finite-time controller and the corresponding Lyapunov function can be designed simultaneously. The procedures on how to obtain the fuzzy controller are provided in terms of linear matrix inequalities. Moreover, an upper bound on the time taken for state trajectories to arrive at their desired targets is estimated. The effectiveness of the proposed finite-time H control approach is finally illustrated via numerical simulations.

Research Area(s)

  • finite-time control, fuzzy control design, T–S fuzzy models, H∞ control