Robust H∞ control of piecewise-linear chaotic systems with random data loss

doi:10.1088/1674-1056/19/8/080509

Abstract This paper studies the problem of robust H_∞ control of piecewise-linear chaotic systems with random data loss. The communication links between the plant and the controller are assumed to be imperfect (that is, data loss occurs intermittently, which appears typically in a network environmen20). The data loss is modelled as a random process which obeys a Bernoulli distribution. In the face of random data loss, a piecewise controller is designed to robustly stabilize the networked system in the sense of mean square and also achieve a prescribed H_∞ disturbance attenuation performance based on a piecewise-quadratic Lyapunov function. The required H_∞ controllers can be designed by solving a set of linear matrix inequalities (LMI19). Chua's system is provided to illustrate the usefulness and applicability of the developed theoretical results.

Keywords: chaos H_∞ control piecewise-linear systems piecewise-quadratic Lyapunov functions random data loss

Received: 18 October 2009
Revised: 24 November 2009
Accepted manuscript online:

PACS:	84.40.Ua	(Telecommunications: signal transmission and processing; communication satellites)
	84.30.Bv	(Circuit theory)

Fund: Project partially supported by the Young Scientists Fund of the National Natural Science Foundation of China (Grant No. 60904004), the Key Youth Science and Technology Foundation of University of Electronic Science and Technology of China (Grant No. L08010201JX0720).

Cite this article:

Zhang Hong-Bin(张洪斌), Yu Yong-Bin(于永斌), and Zhang Jian(张健) Robust H_∞ control of piecewise-linear chaotic systems with random data loss 2010 Chin. Phys. B 19 080509

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