Robust discrete-time sliding mode control for tracking and model following of uncertain nonlinear systems. Issue 11 (18th August 2018)

• Record Type: Journal Article
• Authors: Rahmani, Behrooz
• Is Part Of: International journal of systems science. Volume 49:Issue 11(2018)
• Page Start: 2427
• Page End: 2441
• Publication Date: 2018-08-18
• Subjects: Nonlinear system -- Takagi–Sugeno fuzzy modelling -- mismatched uncertainty -- robust control -- output tracking and model following; System analysis -- Periodicals; 003.3
• DOI: 10.1080/00207721.2018.1504139
• Languages: English
• ISSNs: 0020-7721

Abstract

ABSTRACT: This paper proposes a discrete-time controller for robust tracking and model following of a class of nonlinear, multi-input multi-output, systems. For this purpose, a discrete-time sliding mode controller ( DTSMC ) is used to ensure the stability, robustness and an output tracking against the modelling uncertainties, even at relatively large sampling periods. In this way, Takagi–Sugeno ( T –S) fuzzy modelling is used to decompose the nonlinear system to a set fuzzy-blended locally linearised subsystems. Implementation of the second Lyapunov theory for mismatched uncertain nonlinear T–S fuzzy models results in a set of linear matrix inequalities, which is used to design the sliding surface. A new method is then proposed to reach the quasi-sliding mode and stay thereafter. Simulation studies show that the proposed method guarantees the stability of closed-loop system and achieves small tracking error in the presence of parametric uncertainties at large sampling periods.