T–S Fuzzy Discrete Systems Stabilization using Switching PDC Controller

Abstract

In this paper a new stability condition is derived for discrete T-S fuzzy systems. The discrete T–S fuzzy system is represented by a hybrid system, each hybrid system state corresponds to a group of rules that can be fired in the same time. The discrete T-S fuzzy system stability test consists to find a set of symmetric positive definite matrices that ensure stability in local regions and verify the global stability during transition between subregions. This idea is used to stabilize discrete T-S fuzzy systems by the use of a local linear state feedback or a local PDC controller in each subregion.