Robust H. control for uncertain T-S fuzzy systems with state and input time delays: A time-varying matrix-dependent zero-equality method

This paper studies robust H. control problems for uncertain T-S fuzzy systems with state and input time delay. A modified Lyapunov-Krasovskii functional is constructed by considering membership -function -dependent matrices and delay -product -type matrices. To ensure that the derived results do not involve higher -order delay terms, a method of introducing augmented variables is used. In particular, a time -varying matrix -dependent method is used to link the zero -equalities generated during the mathematical derivation, which increases the freedom of selection of the constant connection matrix and may produce new time -delay cross -term information. Then, a less conservatism stability condition is established, and a robust H. controller is designed to ensure that the T-S fuzzy system achieves a predefined H. performance level. Finally, two examples are used to verify the feasibility and superiority of the obtained results.