Dynamic output-feedback control for T-S fuzzy systems with input time-varying delay

Abstract

This paper considers the problem of the H∞ control for T-S fuzzy systems with input time-varying delay via dynamic output feedback. Firstly, by applying the reciprocally convex approach, new delay-dependent sufficient condition forH∞ performance analysis is obtained. Then, a less conservative condition for the existence of theH∞ controllers is given in terms of linearmatrix inequalities (LMIs). Moreover, in the considered system, the time-delay termis included in themeasured output. This results in the difficulty in designing the controllers being increased and the obtained results being applied to a wider class of fuzzy systems than the most existing ones. The main contribution of this work lies in the application of the reciprocally convex inequality and the time-delay term included in the measured output. Finally, the advantages and effectiveness of the present results are shown by several numerical examples.