$H_{\infty}$ feedback sampled-data control of T-S fuzzy systems via a novel integral inequality approach

V.J. Nirmala; S. Sekar

doi:10.26637/MJM0802/0049

Abstract

This work addresses the result of sampled-data-based H¥ control of Takagi-Sugeno (T-S) fuzzy systems. The sampling period is assumed to be varying within an interval. In order to construct a less delay dependent stability condition, a Lyapunov-Krasovskii functional (LKF) containing new integral terms is imported. Approach of convex is applied to determine a less stability conditions in the form of linear matrix inequalities (LMIs) without any free-weighting matrices approach which increase badly the computational anxiety of the stability analysis. Through the use of the derived inequality and by constructing a suitable LKF, improved stability criteria are shown in the form of LMIs. Two simulation examples are carried out to demonstrate that the results out perform the state of the art in the literature.

Keywords:

T-S fuzzy system, Feedback control, Sampled-data scheme, $H_{\infty}$ performance, Time-delay

Mathematics Subject Classification:

Mathematics

Authors Imprint References Funding Related Articles Downloads

V.J. Nirmala Department of Mathematics, Kaamadhenu Arts and Science College, Sathyamangalam–638402, Tamil Nadu, India.
S. Sekar Department of Mathematics, Chikkanna Government Arts College, Tiruppur–641602, Tamil Nadu, India.

Pages: 608-615
Date Published: 01-04-2020
Vol. 8 No. 02 (2020): Malaya Journal of Matematik (MJM)

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