Stabilization for delayed positive nonlinear systems via T-S fuzzy modeling

This paper deals with the problems of stability and stabilization for continuous-time positive nonlinear systems with delays via Takagi-Sugeno (T-S) fuzzy modeling. A simple sufficient condition of stability is first derived on the basis of quadratic copositive Lyapunov-Krasovskii functions (QCLKFs). Then, based on the result of stability, the problem of constrained controller design by the so-called parallel distributed compensation (PDC) scheme is also solved. Finally, a numerical example is presented to demonstrate the efficiency of the proposed method.