Stability analysis and design of T-S fuzzy control system with simplified linear rule consequent
Ning Li, S.-Y. Li · IEEE Transactions on Systems Man and Cybernetics Part B (Cybernetics) · 2004
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 Ai is decomposed into proportional part Ai and the remainder delta Ai. Hence an iterative approach to find a common matrix P for pairwise commutative Ai's can be used. The stability of the global system is guaranteed if delta Ai 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.