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首页> 外文期刊>International Journal of Innovative Computing Information and Control >RELAXED RESULTS ON STABILIZATION AND STATE FEEDBACK H∞ CONTROL CONDITIONS FOR T-S FUZZY SYSTEMS
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RELAXED RESULTS ON STABILIZATION AND STATE FEEDBACK H∞ CONTROL CONDITIONS FOR T-S FUZZY SYSTEMS

机译：T-S模糊系统稳定与状态反馈H∞控制条件的松弛结果

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摘要

This paper further studies stabilization and state feedback H∞, control con ditions for discrete T-S fuzzy systems. By extending a nonquadratic Lyapunov function and applying a nonparallel distributed compensation (non-PDC) control law, first a re laxed stabilization conclusion is presented that is an extension of some previous results in the literature, then a sufficient condition which can guarantee the existence of state feedback H∞ controllers for the T-S fuzzy systems is proposed. In comparison with the existing results, the proposed conditions not only provide more relaxation but also ensure better H∞ performances. Finally, the validity and applicability of the proposed results are successfully demonstrated through two numerical examples.
机译：本文进一步研究了离散T-S模糊系统的镇定和状态反馈H∞，控制条件。通过扩展非二次Lyapunov函数并应用非并行分布补偿（non-PDC）控制律，首先给出了一个宽松的稳定结论，该结论是文献中先前结果的扩展，然后是一个可以保证存在以下条件的充分条件：提出了TS模糊系统的状态反馈H∞控制器。与现有结果相比，提出的条件不仅可以提供更多的松弛，而且可以确保更好的H∞性能。最后，通过两个数值例子成功地证明了所提出结果的有效性和适用性。

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