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New sufficient conditions for delay-dependent robust H control of uncertain nonlinear system based on fuzzy hyperbolic model with time-varying delays

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3 Author(s)
Gang Wang ; School of Information Science and Engineering, Northeastern University, Shenyang, Liaoning, 110819, China ; Yang Wang ; Dongsheng Yang

The robust H control problem was considered for a class of fuzzy hyperbolic model with time-varying delays (DFHM) systems with parametric uncertainties and multiple delays. First, DFHM 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 (LMIs). 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.

Published in:

2012 24th Chinese Control and Decision Conference (CCDC)

Date of Conference:

23-25 May 2012