Adaptive H∞ control for a class of non-linear systems using neural networks
Adaptive H∞ control for a class of non-linear systems using neural networks
- Author(s): Y. Liu and Y.M. Jia
- DOI: 10.1049/iet-cta.2008.0329
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- Author(s): Y. Liu 1 and Y.M. Jia 1
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View affiliations
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Affiliations:
1: The Seventh Research Division, Beihang University, Beijing, People's Republic of China
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Affiliations:
1: The Seventh Research Division, Beihang University, Beijing, People's Republic of China
- Source:
Volume 3, Issue 7,
July 2009,
p.
813 – 822
DOI: 10.1049/iet-cta.2008.0329 , Print ISSN 1751-8644, Online ISSN 1751-8652
An adaptive H∞ controller is designed for a class of non-linear dynamical systems by using neural networks (NNs) to approximate the unknown system function. It is shown that under bounded initial conditions, the H∞ performance from the external disturbance to the controlled output is achieved with a prescribed attenuation level. A systematic design procedure is then developed for the synthesis of the adaptive H∞ controller by solving two linear matrix inequalities (LMIs). Finally, a numerical example is included to demonstrate the effectiveness of the proposed controller.
Inspec keywords: nonlinear control systems; nonlinear dynamical systems; H∞ control; linear matrix inequalities; adaptive control; neurocontrollers; function approximation; control system synthesis
Other keywords:
Subjects: Interpolation and function approximation (numerical analysis); Self-adjusting control systems; Control system analysis and synthesis methods; Nonlinear control systems; Optimal control; Neurocontrol; Linear algebra (numerical analysis)
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