Finite-Time H∞ Controller Synthesis of T-S Fuzzy Systems
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Author(s)
Detail(s)
Original language | English |
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Article number | 8279557 |
Pages (from-to) | 1956-1963 |
Number of pages | 8 |
Journal / Publication | IEEE Transactions on Systems, Man, and Cybernetics: Systems |
Volume | 50 |
Issue number | 5 |
Online published | 2 Feb 2018 |
Publication status | Published - May 2020 |
Link(s)
Abstract
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
Citation Format(s)
Finite-Time H∞ Controller Synthesis of T-S Fuzzy Systems. / Li, Yue; Liu, Lu; Feng, Gang.
In: IEEE Transactions on Systems, Man, and Cybernetics: Systems, Vol. 50, No. 5, 8279557, 05.2020, p. 1956-1963.
In: IEEE Transactions on Systems, Man, and Cybernetics: Systems, Vol. 50, No. 5, 8279557, 05.2020, p. 1956-1963.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review