Takagi-Sugeno模糊系统的稳定性与镇定

Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304) Pub Date : 1999-12-07 DOI:10.1109/CDC.1999.833309

M. Akar, U. Ozguner

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引用次数: 9

摘要

讨论了离散时间和连续时间Takagi-Sugeno模糊系统的稳定性和镇定性。利用向量李雅普诺夫函数和m矩阵的概念，导出了开环模糊系统的稳定性条件。采用两种不同的二次型和类范数李雅普诺夫函数来推导模糊系统的稳定性条件。与连续时间模糊系统不同，不同的Lyapunov函数对离散时间模糊系统产生不同的结果，二次Lyapunov函数产生两者的优势。采用类似的方法，研究了局部并联分布式补偿器对开环模糊系统的镇定问题。

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Stability and stabilization of Takagi-Sugeno fuzzy systems

This paper discusses stability and stabilization of discrete-time and continuous-time Takagi-Sugeno fuzzy systems. Conditions on stability of the open-loop fuzzy system are derived via the concepts of vector Lyapunov functions and M-matrices. Two different quadratic and norm-like Lyapunov functions are employed for the subsystems to derive conditions on stability of the fuzzy system. Unlike continuous time fuzzy system, different Lyapunov functions generate different results for discrete-time fuzzy systems, quadratic Lyapunov generating the superior of the two. Following a similar approach, stabilization of the open-loop fuzzy system using local parallel distributed compensators is investigated.

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Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304)

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