Robust stability of polynomial fuzzy systems with time-delay

This paper investigates the problem of robust stability of polynomial fuzzy systems with time delay. This study is based on a polynomial Lyapunov-Krasovskii Functional and presents stability conditions of polynomial fuzzy models with uncertainties in terms of Sum Of Squares (SOS). The established results depend on the size of time delay which improve previous works and reduce the conservatism. The proposed SOS approach is more innovative and effective than the existing (LMI) linear matrix inequality based approaches. Designed stability conditions can be solved via SOSTOOLS toolbox and numerical examples are presented to illustrate the validity of the suggested approach.