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https://hdl.handle.net/2440/83516
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dc.contributor.author | Basin, M. | - |
dc.contributor.author | Shi, P. | - |
dc.contributor.author | Calderon-Alvarez, D. | - |
dc.date.issued | 2011 | - |
dc.identifier.citation | International Journal of Systems Science, 2011; 42(5):801-808 | - |
dc.identifier.issn | 0020-7721 | - |
dc.identifier.issn | 1464-5319 | - |
dc.identifier.uri | http://hdl.handle.net/2440/83516 | - |
dc.description.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. | - |
dc.description.statementofresponsibility | Michael V. Basin, Peng Shi & Dario Calderon-Alvarez | - |
dc.language.iso | en | - |
dc.publisher | Taylor & Francis Ltd | - |
dc.rights | © 2011 Taylor & Francis | - |
dc.source.uri | http://dx.doi.org/10.1080/00207721.2010.543491 | - |
dc.subject | H ∞ control | - |
dc.subject | nonlinear systems | - |
dc.title | Central suboptimal H-∞ control design for nonlinear polynomial systems | - |
dc.title.alternative | Central suboptimal H-infinity control design for nonlinear polynomial systems | - |
dc.type | Journal article | - |
dc.identifier.doi | 10.1080/00207721.2010.543491 | - |
pubs.publication-status | Published | - |
dc.identifier.orcid | Shi, P. [0000-0001-8218-586X] | - |
Appears in Collections: | Aurora harvest Electrical and Electronic Engineering publications |
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