TBU Publications
Repository of TBU Publications

Application of the polynomial method in adaptive control of a MIMO process

DSpace Repository

Show simple item record

dc.title Application of the polynomial method in adaptive control of a MIMO process en
dc.contributor.author Dostál, Petr
dc.contributor.author Bobál, Vladimír
dc.contributor.author Gazdoš, František
dc.relation.ispartof 2008 Mediterranean Conference on Control Automation, Vols 1-4
dc.identifier.isbn 978-1-4244-2504-4
dc.date.issued 2008
dc.citation.spage 322
dc.citation.epage 327
dc.event.title 16th Mediterranean Conference on Control and Automation
dc.event.location Ajaccio
utb.event.state-en France
utb.event.state-cs Francie
dc.event.sdate 2008-06-25
dc.event.edate 2008-06-27
dc.type conferenceObject
dc.language.iso en
dc.publisher The Institute of Electrical and Electronics Engineers (IEEE) en
dc.identifier.doi 10.1109/MED.2008.4602021
dc.relation.uri http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=4602021
dc.subject Adaptive control systems en
dc.subject Industrial engineering en
dc.subject Mathematical models en
dc.subject MIM devices en
dc.subject Multiplexing en
dc.subject Parameter estimation en
dc.subject Polynomial approximation en
dc.subject Polynomials en
dc.subject Quality control en
dc.subject Transfer functions en
dc.subject Weight control en
dc.subject Adaptive Control en
dc.subject Asymptotic tracking en
dc.subject Continuous-time en
dc.subject Control and automation en
dc.subject Control quality en
dc.subject Controllers design en
dc.subject CT model en
dc.subject Delta models en
dc.subject External- en
dc.subject Feedback controllers en
dc.subject Linear modeling en
dc.subject Liquid tanks en
dc.subject Load disturbances en
dc.subject MIMO processing en
dc.subject Non-linear modeling en
dc.subject Non-linear processing en
dc.subject Pole placement methods en
dc.subject Polynomial approach en
dc.subject Polynomial methods en
dc.subject System configurations en
dc.subject Two input - two output en
dc.subject Weight matrices en
dc.subject Process control en
dc.description.abstract The paper deals with continous-time adaptive control of a MIMO nonlinear process. A nonlinear model of the process is approximated by a continuous-time external linear model. Its parameters are estimated via an external delta model with the same structure as the CT model. The control system configuration with two feedback controllers is considered. For controllers design, the polynomial approach is used. Resulting controllers ensure asymptotic tracking of step references and step load disturbances attenuation. A control quality is achieved using the exact pole placement method as well as by selectable weight matrices dividing weights among numerators of transfer functions of subcontrollers. The control is tested on a two input - two output nonlinear process represented by a model of two funnel liquid tanks in series. en
utb.faculty Faculty of Applied Informatics
dc.identifier.uri http://hdl.handle.net/10563/1001892
utb.identifier.rivid RIV/70883521:28140/08:63507107!RIV09-GA0-28140___
utb.identifier.obdid 18553241
utb.identifier.scopus 2-s2.0-52949124082
utb.identifier.wok 000261534400054
utb.source d-wok
dc.date.accessioned 2011-08-09T07:34:10Z
dc.date.available 2011-08-09T07:34:10Z
utb.contributor.internalauthor Dostál, Petr
utb.contributor.internalauthor Bobál, Vladimír
utb.contributor.internalauthor Gazdoš, František
utb.fulltext.affiliation Petr Dostál, Vladimír Bobál, and František Gazdoš Petr Dostál is with the Tomas Bata University in Zlin, Mostní 5139, 760 01 Zlín 1, Czech Republic (phone: +420 57 6035195; fax: +420 57 6035279; e-mail: dostalp@ fai.utb.cz). Vladimír Bobál is with the Tomas Bata University in Zlin, Mostní 5139, 760 01 Zlín 1, Czech Republic (e-mail: bobal@fai.utb.cz). František Gazdoš is with the Tomas Bata University in Zlin, Mostní 5139, 760 01 Zlín 1, Czech Republic (e-mail: gazdos@fai.utb.cz).
utb.fulltext.dates Manuscript received September 28, 2006
utb.fulltext.references [1] B. Wahlberg, "The effects of rapid sampling in system identification," Automatica, vol. 26, pp. 167-170, 1990. [2] R.H. Middleton, and G.C. Goodwin, Digital Control and Estimation - A Unified Approach. Englewood Cliffs: Prentice Hall, 1990. [3] S. Mukhopadhyay, A.G. Patra, and G.P. Rao, "New class of discretetime models for continuos-time systems," International Journal of Control, vol. 55, pp. 1161-1187, 1992. [4] D.L. Stericker, and N.K. Sinha, "Identification of continuous-time systems from samples of input-output data using the δ-operator," Control-Theory and Advanced Technology, vol. 9, pp. 113-125, 1993. [5] P. Dostál, V. Bobál, and F. Gazdoš, "Adaptive control of nonlinear processes: Continuous-time versus delta model parameter estimation," in Proc. IFAC Workshop on Adaptation and Learning in Control and Signal Processing ALCOSP 04, Yokohama, Japan, 2004, pp. 273-278. [6] R. Ortega, and R. Kelly, "PID self-tuners: Some theoretical and practical aspects," IEEE Trans. Ind. Electron., Vol. IE-31, pp. 332-338, 1984. [7] V. Kučera, "Diophantine equations in control – A survey," Automatica, Vol. 29, pp. 1361-1375, 1993. [8] M.J. Grimble, Robust industrial control. Optimal design approach for polynomial systems. Englewood Cliffs: Prentice Hall, 1993. [9] R. Kulhavý, and M. Kárný, "Tracking of slowly varying parameters by directional forgetting," in Proc. 9th IFAC World Congress, Vol. X, Budapest, 1984, pp. 78-83.
utb.fulltext.sponsorship This work was supported in part by the Ministry of Education of the Czech Republic under the grant MSM 7088352101 and by the Grant Agency of the Czech Republic under the grant No. 102/06/1132.
utb.fulltext.projects MSM 7088352101
utb.fulltext.projects GACR 102/06/1132
Find Full text

Files in this item

Show simple item record