Delay-Dependent H₂/H_∞ Control for a Class of Switched T-S Fuzzy Systems with Time-Delay

Abstract:

Delay-dependent H₂/H∞ control is studied for a class of switched T-S fuzzy systems. The sufficient condition for delay-dependent asymptotical stability H₂ and H∞ and performance of the closed-loop switched T-S fuzzy system are derived. Meanwhile, a switching law and fuzzy controller are designed respectively. Moreover, an optimal problem corresponding with time-delay is provided, and an upper bound of time-delay which ensures the system asymptotically stable is obtained using employing MatLab LMI toolbox. Finally, the effectiveness of the proposed method is demonstrated by a numerical example.

• Periodical: Advanced Materials Research (Volumes 204-210)
• Pages: 1197-1202
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.204-210.1197
• Online since: February 2011
• Authors: Yue Quan Yang, Jian Mei Jiang, Tian Ping Zhang, Yang Yi, Qing Zhu
• Keywords: Delay-Dependent, H₂/H_∞Control, Switched Fuzzy System, T-S Fuzzy Modeling

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