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Delay-dependent non-fragile H robust control for a class of uncertain stochastic nonlinear systems

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2 Author(s)
Ramakrishnan, K. ; Dept. of Electr. Eng., Indian Inst. of Technol. Kharagpur, Kharagpur, India ; Ray, G.

In this paper, we consider the delay-dependent non-fragile H control problem of a class of nonlinear system with time-varying delay using Lyapunov-Krasovskii (LK) functional approach. By exploiting a candidate LK functional and using free-weighting matrices in the delay-dependent analysis, a less conservative sufficient condition for the existence of a memoryless state feedback controller, which ensures stochastic stability as well as a prescribed H performance of the closed loop system for all admissible uncertainties and controller gain perturbations, is derived in terms of linear matrix inequalities (LMI). A numerical example is presented to illustrate the effectiveness of the proposed result.

Published in:

Industrial and Information Systems (ICIIS), 2012 7th IEEE International Conference on

Date of Conference:

6-9 Aug. 2012

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