Non-weighted L2 gain and asynchronous H∞ control for continuous-time switched T–S fuzzy systems

This article considers the non-weighted L2 gain and asynchronous H∞ control issues for continuous-time switched nonlinear systems. Firstly, Takagi–Sugeno (T–S) fuzzy models are employed to describe the nonlinear subsystems. By taking full advantage of the asynchronous features, a novel time-varying fuzzy Lyapunov function (TVFLF) and the corresponding controllers are all constructed separately in synchronous and asynchronous intervals. Based on the TVFLF approach, sufficient conditions of asynchronous H∞ controller are established. Finally, two simulation examples are discussed to certify the effectiveness of the proposed results.