Robustness of a spectral assignment method applied to a flexible beam

Tzafestas, SG; Tzamtzi, MP

dc.contributor.author	Tzafestas, SG	en
dc.contributor.author	Tzamtzi, MP	en
dc.date.accessioned	2014-03-01T01:14:07Z
dc.date.available	2014-03-01T01:14:07Z
dc.date.issued	1998	en
dc.identifier.issn	0020-7179	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/12879
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0032137591&partnerID=40&md5=6d1f3c5cb74fc358f948fbb78a061fda	en
dc.subject.classification	Automation & Control Systems	en
dc.subject.other	Boundary conditions	en
dc.subject.other	Eigenvalues and eigenfunctions	en
dc.subject.other	Mathematical operators	en
dc.subject.other	Perturbation techniques	en
dc.subject.other	Polynomials	en
dc.subject.other	State space methods	en
dc.subject.other	System stability	en
dc.subject.other	Flexible beam	en
dc.subject.other	Hyperbolic equations	en
dc.subject.other	Spectral assignment method	en
dc.subject.other	Robustness (control systems)	en
dc.title	Robustness of a spectral assignment method applied to a flexible beam	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	1998	en
heal.abstract	In this paper the robustness of a spectral assignment method applied to the system of a flexible beam is studied. It is shown that the intersection between any admissible set of closed-loop eigenvalues of the nominal system and a corresponding set of a perturbed system can only have a finite number of elements. Then, the impact on the eigenvalues of the perturbed system of a control law that affects only a finite number of eigenvalues of the nominal system is investigated. It is proved that only a finite number of eigenvalues of the perturbed system is moved. In addition, the polynomial whose roots are these closed-loop eigenvalues of the perturbed system is determined. Finally, using a new parameterization of uncertainty, the nonlinearity of the coefficients of this polynomial with respect to the uncertain parameters is simplified, turning it into a multivariate polynomial form whose stability robustness can be studied using several known methods.	en
heal.publisher	TAYLOR & FRANCIS LTD	en
heal.journalName	International Journal of Control	en
dc.identifier.isi	ISI:000075187400002	en
dc.identifier.volume	70	en
dc.identifier.issue	6	en
dc.identifier.spage	859	en
dc.identifier.epage	872	en