Optimal open loop control of dynamic systems using a ""min-max"" Hamiltonian method

Kanarachos, S; Koulocheris, D; Spentzas, C

dc.contributor.author	Kanarachos, S	en
dc.contributor.author	Koulocheris, D	en
dc.contributor.author	Spentzas, C	en
dc.date.accessioned	2014-03-01T01:21:11Z
dc.date.available	2014-03-01T01:21:11Z
dc.date.issued	2004	en
dc.identifier.issn	0015-7899	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/16126
dc.subject	Dynamic System	en
dc.subject	Maximum Principle	en
dc.subject	Optimal Method	en
dc.subject.classification	Engineering, Multidisciplinary	en
dc.subject.classification	Engineering, Mechanical	en
dc.subject.other	Algorithms	en
dc.subject.other	Benchmarking	en
dc.subject.other	Data reduction	en
dc.subject.other	Hamiltonians	en
dc.subject.other	Linear systems	en
dc.subject.other	Matrix algebra	en
dc.subject.other	Optimization	en
dc.subject.other	Parameter estimation	en
dc.subject.other	Computational advantages	en
dc.subject.other	Gauss elimination methods	en
dc.subject.other	Pontryagin's Maximum Principle (PMP)	en
dc.subject.other	Optimal control systems	en
dc.title	Optimal open loop control of dynamic systems using a ""min-max"" Hamiltonian method	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s10010-004-0132-0	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s10010-004-0132-0	en
heal.language	English	en
heal.publicationDate	2004	en
heal.abstract	A new method for the computation of optimal open loop control of dynamic systems is presented. The new optimization method is derived from Pontryagin's Maximum Principle (PMP) and is formulated as a ""minmax"" Hamiltonian problem. The method can be applied to N-DOF dynamic systems without control limits (so called u-limits) and succeeds, despite of this, in achieving an optimal ""bang-bang"" type solution. The method is suitable for engineers, easy to apply and is characterized by an excellent performance and low CPU times. Numerical examples illustrate the proposed methodology as well as its computational advantages.	en
heal.publisher	SPRINGER HEIDELBERG	en
heal.journalName	Forschung im Ingenieurwesen/Engineering Research	en
dc.identifier.doi	10.1007/s10010-004-0132-0	en
dc.identifier.isi	ISI:000225608900001	en
dc.identifier.volume	69	en
dc.identifier.issue	1	en
dc.identifier.spage	1	en
dc.identifier.epage	10	en