Direct discrete-time design approach to robust sampled-data observer-based output-feedback fuzzy control

Do Wan Kim and Ho Jae Lee

International Journal of Systems Science, 2016, vol. 47, issue 1, 77-91

Abstract: This paper addresses a direct discrete-time design methodology for a robust H∞$\mathscr {H}_{\infty }$ sampled-data observer-based output-feedback stabilisation problem for a class of non-linear systems suffering from parametric uncertainties and disturbances that is identically modelled as a Takagi–Sugeno (T–S) fuzzy model at least locally. The primary features in the current development are that (1) we are based on an exact (rather than approximate) discrete-time model in an integral (rather than closed) form while (2) the H∞$\mathscr {H}_{\infty }$ control performance is characterised with respect to an L2$\mathscr {L}_{2}$ (rather than l2) norm. It is shown that the uncertain sampled-data non-linear control system is robustly asymptotically stable if the employed discrete-time model is so. Design conditions are investigated in the discrete-time Lyapunov sense and concretised in the format of linear matrix inequalities.

Date: 2016
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DOI: 10.1080/00207721.2015.1021731

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