Stability analysis and design of T-S fuzzy control system with simplified linear rule consequent

Stability and design issues of simple T-S fuzzy control system with simplified linear rule consequent (TSS) are investigated. A systematic approach to find a common matrix P for TSS fuzzy system is presented, where system matrix A_i is decomposed into proportional part A~_i and the remainder ΔA_i. Hence an iterative approach to find a common matrix P for pairwise commutative A~_i´s can be used. The stability of the global system is guaranteed if ΔA_i satisfies certain conditions. Qualitative instructions for TSS control system design are summarized. A physical example is given to illustrate the issues discussed throughout the paper.