H∞ output feedback control for delay Takagi-Sugeno fuzzy systems

This paper studies an H_∞ output feedback control problem for continuous-time T-S fuzzy systems with time-varying delays both in state variables and forced input. Unlike the existing results need the information on derivative of delay time, we propose two delay-dependent sufficient conditions free from derivative information on delay time, which means a fast-varying delay time is allowed. Based on Lyapunov theory, the sufficient conditions are expressed in terms of LMIs. Lastly, an example is demonstrated using the proposed design methodology.