2011年6月
Optimal Control of Polynomial Systems with Performance Bounds: A Convex Optimization Approach
2011 American Control Conference
- ,
- ,
- 巻
- 2011
- 号
- 開始ページ
- 281
- 終了ページ
- 286
- 記述言語
- 英語
- 掲載種別
- 研究論文(国際会議プロシーディングス)
- DOI
- 10.1109/ACC.2011.5991600
- 出版者・発行元
- IEEE
This paper is concerned with an approach for a nonlinear optimal control of polynomial systems. The Hamilton-Jacobi-Bellman (HJB) equation is relaxed into HJB inequalities. Both an upper bound and a lower bound on the cost function, as well as a suboptimal controller, can be computed from solutions of the resulting inequalities. Solving the HJB inequalities can be cast as state-dependent matrix inequalities (SDMIs), whose derivation is based on representation of the given polynomial system in a linear-like form. The resulting SDMI for the upper-bound computation is nonconvex in the decision variables, and hence an iterative procedure is proposed to deal with the non-convexity. On the other hand, the resulting SDMI for the lower-bound computation can be written as a state-dependent linear matrix inequality (SDLMI), which is a convex optimization problem solvable by existing numerical tools. A numerical example is provided to illustrate the proposed approach.
- リンク情報
-
- DOI
- https://doi.org/10.1109/ACC.2011.5991600
- J-GLOBAL
- https://jglobal.jst.go.jp/detail?JGLOBAL_ID=201102291028851450
- Web of Science
- https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000295376000047&DestApp=WOS_CPL
- URL
- http://ieeexplore.ieee.org/document/5991600/
- ID情報
-
- DOI : 10.1109/ACC.2011.5991600
- ISSN : 0743-1619
- J-Global ID : 201102291028851450
- Web of Science ID : WOS:000295376000047