An iterative procedure to solve HJBI equations in nonlinear H_infinity control.
| dc.contributor.author | Feng, Yantao | |
| dc.contributor.author | Rotkowitz, Michael | |
| dc.contributor.author | Anderson, Brian | |
| dc.coverage.spatial | COEX South Korea | |
| dc.date.accessioned | 2015-12-07T22:32:32Z | |
| dc.date.created | July 6-11 2008 | |
| dc.date.issued | 2008 | |
| dc.date.updated | 2016-02-24T09:50:58Z | |
| dc.description.abstract | In this paper, an iterative algorithm to solve a special class of Hamilton-Jacobi-Bellman-Isaacs (HJBI) equations is proposed. By constructing two series of nonnegative functions, we replace the problem of solving an HJBI equation by the problem of solving a sequence of Hamilton-Jacobi-Bellman (HJB) equations whose solutions can be approximated recursively by existing methods. The local convergence of the algorithm is guaranteed. A numerical example is provided to demonstrate the accuracy of the proposed algorithm. | |
| dc.identifier.isbn | 9781123478902 | |
| dc.identifier.uri | http://hdl.handle.net/1885/22863 | |
| dc.publisher | Elsevier | |
| dc.relation.ispartofseries | International Federation of Automatic Control World Congress (SYSID 2008) | |
| dc.source | Proceedings of International Federation of Automatic Control World Congress (SYSID 2008) | |
| dc.subject | Keywords: Differential or dynamic games; Existing method; Hamilton-Jacobi-Bellman; Hamilton-Jacobi-Bellman equations; Iterative algorithm; Iterative procedures; Local Convergence; Nonlinear H-infinity control; Nonnegative functions; Numerical example; Robust contro Differential or dynamic games; Robust control of nonlinear systems; Robust controller synthesis | |
| dc.title | An iterative procedure to solve HJBI equations in nonlinear H_infinity control. | |
| dc.type | Conference paper | |
| local.bibliographicCitation.lastpage | 205 | |
| local.bibliographicCitation.startpage | 200 | |
| local.contributor.affiliation | Feng, Yantao, University of Melbourne | |
| local.contributor.affiliation | Rotkowitz, Michael, College of Engineering and Computer Science, ANU | |
| local.contributor.affiliation | Anderson, Brian, College of Engineering and Computer Science, ANU | |
| local.contributor.authoruid | Rotkowitz, Michael, u4380376 | |
| local.contributor.authoruid | Anderson, Brian, u8104642 | |
| local.description.embargo | 2037-12-31 | |
| local.description.notes | Imported from ARIES | |
| local.description.refereed | Yes | |
| local.identifier.absfor | 091302 - Automation and Control Engineering | |
| local.identifier.ariespublication | u2505865xPUB24 | |
| local.identifier.doi | 10.3182/20080706-5-KR-1001.2050 | |
| local.identifier.scopusID | 2-s2.0-79961017882 | |
| local.type.status | Published Version |