Fuzzy robust and non-fragile minimax control of a trailer-truck model

Abstract

This paper deals with a fuzzy robust and non-fragile minimax control problem of a trailer-truck model. By introducing parametric uncertainty terms into the T-S model for trailer-truck systems, the fuzzy model approaches to the original system more exactly. Existence conditions are derived for the robust and non-fragile minimax control in the sense of Lyapunov asymptotic stability and formulated in the form of linear matrix inequalities (LMIs). The convex optimization algorithm is used to get the minimal upper bound of the performance cost and parameter of the optimal minimax controller. Then the closed-loop system will be asymptotically stable under the condition of the worst disturbance and uncertainty. Finally, an illustrative example is used to demonstrate the better robust and non-fragile performance of the controller design.