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dc.contributor.authorGarone, Emanuele
dc.contributor.authorNtogramatzidis, Lorenzo
dc.contributor.authorFerrante, Augusto
dc.date.accessioned2017-01-30T11:09:59Z
dc.date.available2017-01-30T11:09:59Z
dc.date.created2016-07-20T19:30:17Z
dc.date.issued2016
dc.identifier.citationGarone, E. and Ntogramatzidis, L. and Ferrante, A. 2016. Multivariable tracking control for MIMO linear systems: an LMI approach, in Tryphon, G. (ed), Proceedings of the 22nd International Symposium on Mathematical Theory of Networks and Systems, Jul 11-15 2016, pp. 585-588. Minnesota, MN, USA: MTSN.
dc.identifier.urihttp://hdl.handle.net/20.500.11937/9009
dc.description.abstract

In this paper we consider the problem of achieving monotonic tracking control for multiple-input multiple-output (MIMO) linear time-invariant (LTI) systems, from any initial condition. First, we show that this property is equivalent to achieving non-overshooting and non-undershooting starting from any initial condition. Second, we prove that a stable system is monotonic from every initial condition if and only if all the rows of the output matrix are left eigenvectors of the space transition matrix. In this way, the design of a controller which ensures global monotonic tracking can be reformulated as a convex optimization problem described by a set of Linear Matrix Inequalities (LMIs).

dc.relation.urihttp://conservancy.umn.edu/
dc.titleMultivariable tracking control for MIMO linear systems: an LMI approach
dc.typeConference Paper
dcterms.source.startPage585
dcterms.source.endPage588
dcterms.source.titleThe proceedings of the 22nd International Symposium on Mathematical Theory of Networks and Systems
dcterms.source.seriesThe proceedings of the 22nd International Symposium on Mathematical Theory of Networks and Systems
dcterms.source.conference22nd International Symposium on Mathematical Theory of Networks and Systems
curtin.departmentDepartment of Mathematics and Statistics
curtin.accessStatusFulltext not available


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