Delay-dependent piecewise control for time-delay T-S fuzzy systems with application to chaos control

This paper concerns with the delay-dependent piecewise control problem for a class of time-delay T-S fuzzy systems based on a novel delay-dependent piecewise Lyapunov-Krasovskii functional (DPLKF). A new partition approach for the premise variable space of the fuzzy model is presented to facilitate the piecewise feedback controller design. It is then shown that the global stabilization can be established for the closed-loop system if a DPLKF can be constructed by solving a set of linear matrix inequalities. Meanwhile, the piecewise controller gains can be obtained. Application to chaos control is given to demonstrate the effectiveness and advantage of the proposed method.