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Stability analysis and design of T-S fuzzy control system with simplified linear rule consequent
1Institution of Automation, Shanghai Jiao Tong University, Shanghai 200030, China.
Abstract:
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.
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