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

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

中国物理B ›› 2010, Vol. 19 ›› Issue (8): 80509-080509.doi: 10.1088/1674-1056/19/8/080509

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

张健¹, 于永斌², 张洪斌³

(1)School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu 610054, China; (2)School of Computer Science & Engineering, University of Electronic Science and Technology of China, Chengdu 610054, China; (3)School of Electronic Engineering, University of Electronic Science and Technology of China, Chengdu 610054, China

收稿日期:2009-10-18 修回日期:2009-11-24 出版日期:2010-08-15 发布日期:2010-08-15
基金资助:
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).

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

Zhang Hong-Bin(张洪斌)^a)^†, Yu Yong-Bin(于永斌)^b), and Zhang Jian(张健)^c)

^a School of Electronic Engineering, University of Electronic Science and Technology of China, Chengdu 610054, China; ^b School of Computer Science & Engineering, University of Electronic Science and Technology of China, Chengdu 610054, China; ^c School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu 610054, China

Received:2009-10-18 Revised:2009-11-24 Online:2010-08-15 Published:2010-08-15
Supported by:
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).

摘要/Abstract

摘要： 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.

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.

Key words: chaos, H_∞ control, piecewise-linear systems, piecewise-quadratic Lyapunov functions, random data loss

中图分类号: (Telecommunications: signal transmission and processing; communication satellites)

84.40.Ua

84.30.Bv (Circuit theory)

张洪斌, 于永斌, 张健. Robust H_∞ control of piecewise-linear chaotic systems with random data loss[J]. 中国物理B, 2010, 19(8): 80509-080509.

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[J]. Chin. Phys. B, 2010, 19(8): 80509-080509.

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

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

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