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A new design of output feedback sliding mode controller for T‐S fuzzy‐affine systems

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This work focuses on output feedback sliding mode control (SMC) for nonlinear systems via T‐S fuzzy affine models. Associated with the sliding surface, a singular system is firstly proposed to… Click to show full abstract

This work focuses on output feedback sliding mode control (SMC) for nonlinear systems via T‐S fuzzy affine models. Associated with the sliding surface, a singular system is firstly proposed to describe the dynamical features of the sliding motion. Adopting some convexification techniques and based on piecewise quadratic Lyapunov functions (PQLFs) and a common quadratic Lyapunov function (CQLF), sufficient criteria for the asymptotic stability analysis of the sliding mode dynamical system are attained. Two output feedback SMC synthesis schemes are developed to drive the closed‐loop system states to the sliding surface in finite time. A simulation example is presented to show the validity of the proposed methods.

Keywords: output feedback; feedback sliding; sliding mode; fuzzy affine

Journal Title: Asian Journal of Control
Year Published: 2020

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