Title: Direct adaptive fuzzy sliding mode controller without reaching phase for an uncertain three-tank-system

Authors: El Mehdi Mellouli; Ismail Boumhidi

Addresses: Department of Physics, Faculty of Sciences Dhar El Mehraz, LESSI Laboratory, B.P. 1796, 30000 FES-Atlas, Morocco ' Department of Physics, Faculty of Sciences Dhar El Mehraz, LESSI Laboratory, B.P. 1796, 30000 FES-Atlas, Morocco

Abstract: In this paper, a direct adaptive fuzzy sliding mode is proposed to design a new robust controller without reaching phase and chattering problems for a multiple-input multiple-output (MIMO) three-tank-system with unknown dynamics and external disturbances. The approach is based on modifying the sliding domain equation through the use of the Mamdani fuzzy logic approaches. The adaptive fuzzy law Takagi-Sugeno (TS) model is used to directly approximate the vector control of the system. Moreover the auxiliary sliding mode control term is incorporated in the control law to attenuate the fuzzy approximation errors and the external disturbances. The stability and robustness of the proposed control scheme are provided. Simulation results are presented which demonstrate the efficiency and robustness of the proposed control scheme.

Keywords: direct fuzzy control; sliding mode control; SMC; modelling; nonlinear systems; reaching phase; adaptive control; controller design; uncertainty; MIMO three-tank systems; robust control; Takagi-Sugeno; T-S model; simulation.

DOI: 10.1504/IJMIC.2016.076831

International Journal of Modelling, Identification and Control, 2016 Vol.25 No.4, pp.335 - 342

Received: 11 Apr 2015
Accepted: 29 Sep 2015
Published online: 01 Jun 2016 *

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