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dc.contributor.authorZhang, G.
dc.contributor.authorLiu, L.
dc.contributor.authorLiu, Wanquan
dc.contributor.editorHonglei Xu
dc.contributor.editorXinmin Yang
dc.contributor.editorWei Wei
dc.date.accessioned2017-01-30T12:28:39Z
dc.date.available2017-01-30T12:28:39Z
dc.date.created2010-12-12T20:03:40Z
dc.date.issued2010
dc.identifier.citationZhang, Guoshan and Liu, Lei and Liu, Wanquan. 2010. Linear quadratic optimal control based on dynamic compensation, in Xu, H. and Yang, X. and Wei, W. (ed), Proceedings of the International Conference on Optimization and Control 2010, Jul 18 2010, pp. 337-352. Guiyang, China: Guizhou University and Chongqing University.
dc.identifier.urihttp://hdl.handle.net/20.500.11937/21987
dc.description.abstract

The linear-quadratic optimal problem based on dynamic compensation is considered for a general quadratic performance index in this paper. First a dynamic compensator with a proper dynamic order is given such that the closed-loop system is asymptotically stable and its associated Lyapunov equation has a symmetric positive-definite solution. Then the quadratic performance index is derived to be an expression related to the symmetric positive-definite solution and the initial value of the closed-loop system. In order to solve the optimal control problem for the system, the proposed Lyapunov equation is transformed into a Bilinear Matrix Inequality (BMI) and a corresponding path-following algorithm to minimize the quadratic performance index is proposed in which an optimal dynamic compensator can be obtained. Finally, several numerical examples are provided to demonstrate the effectiveness and feasibility of the proposed algorithm.

dc.publisherGuizhou University and Chongqing University
dc.subjectlinear system
dc.subjectpathfollowing algorithm
dc.subjectbilinear matrix inequality (BMI)
dc.subjectdynamic compensation
dc.subjectOptimal control
dc.titleLinear quadratic optimal control based on dynamic compensation
dc.typeConference Paper
dcterms.source.startPage337
dcterms.source.endPage352
dcterms.source.titleProceedings of the International Conference on optimization and control 2010
dcterms.source.seriesProceedings of the International Conference on optimization and control 2010
dcterms.source.conferenceInternational Conference on optimization and control 2010
dcterms.source.conference-start-dateJul 18 2010
dcterms.source.conferencelocationGuiyang, China
dcterms.source.placeChina
curtin.departmentDepartment of Computing
curtin.accessStatusFulltext not available


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