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https://hdl.handle.net/2440/83516
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Type: | Journal article |
Title: | Central suboptimal H-∞ control design for nonlinear polynomial systems |
Other Titles: | Central suboptimal H-infinity control design for nonlinear polynomial systems |
Author: | Basin, M. Shi, P. Calderon-Alvarez, D. |
Citation: | International Journal of Systems Science, 2011; 42(5):801-808 |
Publisher: | Taylor & Francis Ltd |
Issue Date: | 2011 |
ISSN: | 0020-7721 1464-5319 |
Statement of Responsibility: | Michael V. Basin, Peng Shi & Dario Calderon-Alvarez |
Abstract: | This article presents the central finite-dimensional H ∞ regulator for nonlinear polynomial systems, which is suboptimal for a given threshold γ with respect to a modified Bolza–Meyer quadratic criterion including the attenuation control term with the opposite sign. In contrast to the previously obtained results, the article reduces the original H ∞ control problem to the corresponding optimal H 2 control problem, using this technique proposed in Doyle et al. [Doyle, J.C., Glover, K., Khargonekar, P.P., and Francis, B.A. (1989), ‘State-space Solutions to Standard H 2 and H ∞ Control Problems’, IEEE Transactions on Automatic Control, 34, 831–847]. This article yields the central suboptimal H ∞ regulator for nonlinear polynomial systems in a closed finite-dimensional form, based on the optimal H 2 regulator obtained in Basin and Calderon-Alvarez [Basin, M.V., and Calderon-Alvarez, D. (2008b), ‘Optimal Controller for Uncertain Stochastic Polynomial Systems’, Journal of the Franklin Institute, 345, 293–302]. Numerical simulations are conducted to verify performance of the designed central suboptimal regulator for nonlinear polynomial systems against the central suboptimal H ∞ regulator available for the corresponding linearised system. |
Keywords: | H ∞ control nonlinear systems |
Rights: | © 2011 Taylor & Francis |
DOI: | 10.1080/00207721.2010.543491 |
Published version: | http://dx.doi.org/10.1080/00207721.2010.543491 |
Appears in Collections: | Aurora harvest Electrical and Electronic Engineering publications |
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