| Robust H_∞ control of piecewise-linear chaotic systems with random data loss |
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| 引用本文： | 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. DOI: 10.1088/1674-1056/19/8/080509 |
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| 作者姓名： | 张洪斌 于永斌 张健 |
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| 作者单位： | (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 |
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| 基金项目： | 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). |
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| 摘 要： | <正>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 environment).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(LMIs).Chua's system is provided to illustrate the usefulness and applicability of the developed theoretical results.
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| 关 键 词： | chaos H_∞control piecewise-linear systems piecewise-quadratic Lyapunov functions random data loss |
| 收稿时间： | 2009-10-18 |
Robust H∞ control of piecewise-linear chaotic systems with random data loss |
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| Zhang Hong-Bin,Yu Yong-Bin and Zhang Jian. Robust H∞ control of piecewise-linear chaotic systems with random data loss[J]. Chinese Physics B, 2010, 19(8): 80509-080509. DOI: 10.1088/1674-1056/19/8/080509 |
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| Authors: | Zhang Hong-Bin Yu Yong-Bin Zhang Jian |
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| Affiliation: | School of Electronic Engineering, University of Electronic Science and Technology of China, Chengdu 610054, China; School of Computer Science & Engineering, University of Electronic Science and Technology of China, Chengdu 610054, China; School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu 610054, China |
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| 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. |
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| Keywords: | chaos H∞ control piecewise-linear systems piecewise-quadratic Lyapunov functions random data loss |
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