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Design of Linear Functional Observer for MIMO LTI systems

by Prakash K. Nakade, Girish G. Galgate
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 1 - Number 6
Year of Publication: 2010
Authors: Prakash K. Nakade, Girish G. Galgate
10.5120/132-249

Prakash K. Nakade, Girish G. Galgate . Design of Linear Functional Observer for MIMO LTI systems. International Journal of Computer Applications. 1, 6 ( February 2010), 114-122. DOI=10.5120/132-249

@article{ 10.5120/132-249,
author = { Prakash K. Nakade, Girish G. Galgate },
title = { Design of Linear Functional Observer for MIMO LTI systems },
journal = { International Journal of Computer Applications },
issue_date = { February 2010 },
volume = { 1 },
number = { 6 },
month = { February },
year = { 2010 },
issn = { 0975-8887 },
pages = { 114-122 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume1/number6/132-249/ },
doi = { 10.5120/132-249 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T19:44:50.220578+05:30
%A Prakash K. Nakade
%A Girish G. Galgate
%T Design of Linear Functional Observer for MIMO LTI systems
%J International Journal of Computer Applications
%@ 0975-8887
%V 1
%N 6
%P 114-122
%D 2010
%I Foundation of Computer Science (FCS), NY, USA
Abstract

This paper presents an efficient technique to design reduce order linear functional observer for linear time invariant systems. Assuming the existence of linear state feedback controller to achieve stability or some control performance criteria of the linear system, a design procedure is proposed for reconstruction of the state feedback control action. The attractive features of the proposed design procedure are that the resulted linear state functional state observer is of a very low order and it requires information of a small number of outputs. The proposed observer asymptotically converges to any number of linear functions. Numerical examples are considered to illustrate the properties of the observer.

References
  1. Bass, R. W., and Gura: ‘High-order system design via Automatic ControlConference, Atlanta, Georgia, 1965
  2. LUENBERGER, D.G.: ’An introduction to observer’, IEEE Tran Auto. Control, 1971 AC-16,pp. 596-602
  3. LUENBERGER, D.G.:’Observers for multi-variable systems’, IEEETranAuto.Control, 1966 AC-11, pp.190-197
  4. M00RE, J.B., and LEDWITCH, G.F.:’Minimal order observers for estimating linear functionals of state vector’, IEEE Tran Auto. Control, 975 AC-20,p p. 623-632.
  5. MURDOCH,P.:’Observer design of a linear functional of the state vector’, IEEE Tran Auto.Control,1973 AC-18,pp.308-310
  6. ROMAN, J.R., JONES, L.E., andBULLOCK,
  7. T.E,: ‘ Observing a function of the state’, Proceedings of IEEE Decision and Control Conference, San Diego, California, 1973.
  8. FORTMAN, T.E., and WILLIAMSON, D.: ’Design of low order observer for linear feedback control laws’, IEEE Tran Auto.Control, 1972 AC-18, pp.301-308.
  9. FAIRMAN, F.W., and GUPTA, R.D.,:’Design of multifunctional reduced order observer’.Int.J.Sys.Sci.,1980,11,pp.1083-1094.
  10. TSUI, C.C.,:’A new algorithm for the design of multifunctional observers’, IEEE Tran Auto.Control,1985 AC-30,pp.89-93.
  11. TSUI, C.C.,’on the order reduction of linear functional observers’, IEEE TranAuto.Control, 1986 AC-31, pp.447-449.
  12. O’REILLY, J.:’Observe for linear systems’. (Academic Press, 1983)
  13. ALDEEN.’Reduced order linear functional observer for linear system’.IEEE Proc.Control Theory Appl., Vol.146, No.5, 1999.
  14. H.TRINH and Q.HA’Design of linear functional observers for linear systems with unknown inputs’. International Journal of System Sciene.’Vol 31, pp.741-749. 2000.
  15. Q.P. HA. H.TRINH, and G.Dissanayake’A low order linear functional observer for time delayed systems.’ Asian control conference 2004
Index Terms

Computer Science
Information Sciences

Keywords

linear system MIMO