Design of an LMI-Based Fuzzy Fast Terminal Sliding Mode Control Approach for Uncertain MIMO Systems

Zahra Mokhtare, Mai The Vu, Saleh Mobayen and Afef Fekih
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Zahra Mokhtare: Department of Electrical Engineering, University of Zanjan, Zanjan 45371-38791, Iran
Mai The Vu: School of Intelligent Mechatronics Engineering, Sejong University, Seoul 05006, Korea
Saleh Mobayen: Department of Electrical Engineering, University of Zanjan, Zanjan 45371-38791, Iran
Afef Fekih: Department of Electrical and Computer Engineering, University of Louisiana at Lafayette, Lafayette, LA 70504-3890, USA

Mathematics, 2022, vol. 10, issue 8, 1-12

Abstract: This paper proposes a linear matrix inequality (LMI)-based fuzzy fast terminal sliding mode control (FFTSM) approach for a multi-input multi-output (MIMO) system. This design aims to achieve the finite-time convergence of system trajectories to their desired values, while at the same time eliminating the chattering problem. Finite-time stability is proven using the Lyapunov theory and the control parameters are obtained using the LMI approach. The fuzzy logic approach is considered to fine tune the controller parameters and reduce the tracking error and control signal amplitude. The performance of the proposed approach is assessed using a simulation study of a direct current (DC) motor. The obtained results confirm the effectiveness of the proposed control design. Simplicity of the design, robustness, finite-time convergence, and chattering-free dynamics are among the features of the proposed approach.

Keywords: fuzzy logic; sliding mode control; MIMO systems; uncertainty; LMI; finite-time control (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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