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dc.contributor.authorLiu, C.
dc.contributor.authorLoxton, Ryan
dc.contributor.authorTeo, Kok Lay
dc.contributor.authorWang, Song
dc.date.accessioned2022-10-23T23:04:18Z
dc.date.available2022-10-23T23:04:18Z
dc.date.issued2022
dc.identifier.citationLiu, C. and Loxton, R. and Teo, K.L. and Wang, S. 2022. Optimal state-delay control in nonlinear dynamic systems. Automatica. 135: ARTN 109981.
dc.identifier.urihttp://hdl.handle.net/20.500.11937/89484
dc.identifier.doi10.1016/j.automatica.2021.109981
dc.description.abstract

This paper considers a class of nonlinear systems in which the control function is a time-varying state-delay. The optimal control problem is to optimize the time-varying delay and a set of time-invariant system parameters subject to lower and upper bounds. To solve this problem, we first parameterize the delay in terms of piecewise-quadratic basis functions, thus yielding a finite-dimensional approximate problem with continuous-time inequality constraints induced by the delay bounds. We then exploit the quadratic structure of the delay to convert these continuous-time constraints into a finite set of canonical point constraints. We also develop an efficient numerical method for computing the gradients of the system cost function. This method, which involves integrating an auxiliary impulsive system with time-varying advance backwards in time, can be combined with any existing gradient-based optimization algorithm to generate approximate solutions for the optimal control problem.

dc.languageEnglish
dc.publisherPERGAMON-ELSEVIER SCIENCE LTD
dc.relation.sponsoredbyhttp://purl.org/au-research/grants/arc/DP190103361
dc.subjectScience & Technology
dc.subjectTechnology
dc.subjectAutomation & Control Systems
dc.subjectEngineering, Electrical & Electronic
dc.subjectEngineering
dc.subjectDelay systems
dc.subjectOptimal control
dc.subjectControl parameterization
dc.subjectNumerical optimization
dc.subjectPARAMETER-IDENTIFICATION
dc.subjectTIME
dc.subjectOPTIMIZATION
dc.titleOptimal state-delay control in nonlinear dynamic systems
dc.typeJournal Article
dcterms.source.volume135
dcterms.source.issn0005-1098
dcterms.source.titleAutomatica
dc.date.updated2022-10-23T23:04:17Z
curtin.departmentSchool of Elec Eng, Comp and Math Sci (EECMS)
curtin.accessStatusFulltext not available
curtin.facultyFaculty of Science and Engineering
curtin.contributor.orcidLoxton, Ryan [0000-0001-9821-2885]
curtin.contributor.orcidTeo, Kok Lay [0000-0002-5903-7698]
curtin.contributor.orcidWang, Song [0000-0002-5198-8173]
curtin.contributor.researcheridLoxton, Ryan [F-9383-2014]
curtin.contributor.researcheridWang, Song [B-9809-2008]
curtin.identifier.article-numberARTN 109981
dcterms.source.eissn1873-2836
curtin.contributor.scopusauthoridLoxton, Ryan [24438257500]
curtin.contributor.scopusauthoridTeo, Kok Lay [56153253000] [57202824194]
curtin.contributor.scopusauthoridWang, Song [7410335978]


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