H∞ filtering for fast-varying-delay Takagi-Sugeno fuzzy systems

In this article, an H_∞ filtering problem for continuous-time Takagi-Sugeno fuzzy systems with multiple time-varying delays in state variables is addressed. Based on Lyapunov-Krasovskii approach, a delay-dependent sufficient conditions is obtained. Unlike the existing results requiring the information on derivative of delay time, the condition we proposed is free from derivative information on delay time, which means a fast-varying delay time is allowed. Furthermore the condition is expressed as linear matrix inequalities (LMIs) form, therefore the set of H_∞ filter gains can be determined by LMI solvers. Lastly, an example is demonstrated using the proposed design methodology.