Delay-dependent robust H-infinity control for uncertain fuzzy hyperbolic systems with multiple delays

作者：Zhang Huaguang^*; Gong Qingxian; Wang Yingchun

来源：Progress in Natural Science, 2008, 18(1): 97-104.

DOI：10.1016/j.pnsc.2007.09.002

• fuzzy hyperbolic model
• robust H-infinity control
• asymptotical stability
• linear matrix inequality
• uncertain time-delay system

The robust H. control problem was considered for a class of fuzzy hyperbolic model (FHM) systems with parametric uncertainties and multiple delays. First, FHM modeling method was presented for time-delay nonlinear systems. Then, by using Lyapunov-Krasovskii approaches, delay-dependent sufficient condition for the existence of a kind of state feedback controller was proposed, which was expressed as linear matrix inequalities (LMls). The controller can guarantee that the resulting closed-loop system is robustly asymptotically stable with a prescribed H. performance level for all admissible uncertainties and time-delay. Finally, a simulation example was provided to illustrate the effectiveness of the proposed approach.

• 出版日期2008-1-10
• 单位长春工程学院; 东北大学