Stabilization Criterion for Continuous-time T-S Fuzzy Delayed Systems Subject to Asynchronous Fuzzy Phenomenon via Non-PDC Scheme

Focusing on a non-parallel distributed compensation (non-PDC) control scheme, this paper aims to derive a stabilization criterion for continuous-time Takagi-Sugeno (T-S) fuzzy delayed systems in the presence of the asynchronous fuzzy phenomenon. To achieve this goal, the paper presents a scheme for formulating fuzzy-dependent stabilization conditions that can handle delayed states, aiming to obtain less conservative performance and reduce computational complexity. Specifically, a control synthesis method is derived that is capable of designing both the free-weighting matrix and the congruent transformation matrix, relying on the asynchronous fuzzy basis function. Furthermore, the asynchronous fuzzy phenomenon is addressed by transforming the asynchronous fuzzy basis functions into the errors between the original and asynchronous fuzzy basis functions, and incorporating these errors into the fuzzy-dependent stabilization criterion.