Details

Title

Stabilization of discrete-time LTI positive systems

Journal title

Archives of Control Sciences

Yearbook

2017

Numer

No 4

Publication authors

Divisions of PAS

Nauki Techniczne

Abstract

<jats:title>Abstract</jats:title> <jats:p>The paper mitigates the existing conditions reported in the previous literature for control design of discrete-time linear positive systems. Incorporating an associated structure of linear matrix inequalities, combined with the Lyapunov inequality guaranteing asymptotic stability of discrete-time positive system structures, new conditions are presented with which the state-feedback controllers and the system state observers can be designed. Associated solutions of the proposed design conditions are illustrated by numerical illustrative examples.</jats:p>

Publisher

Committee of Automatic Control and Robotics PAS

Date

2017

Identifier

ISSN 1230-2384

References

Sonand (1996), Robust stability of positive continuous time systems Numerical Functional Analysis and Optimization, null, 17, 649. ; Crusiusand (1999), Sufficient LMI conditions for output feedback control problems Automatic Control, IEEE Trans, 22, 1053. ; Philipsand (1984), Digital Control System Cliffs, Analysis Design, 19. ; Farinaand (2000), Positive Linear Systems Theory Applications New York, null, 21. ; Shafaiand (2014), Positive quadratic stabilization of uncertain linear system Multi - conference on Systems and, Proc IEEE Control, 18, 1412. ; Kaczorek (2012), Determination of positive realizations with reduced numbers of delays or without delays for discrete - time linear systems of Control, Archives Sciences, 11, 451. ; Kaczorek (2011), Positive stable realizations with system matrices of Control, Archives Sciences, 21, 122. ; Filasová (2013), Observer - based fault estimation for linear systems with distributed time delay of Control, Archives Sciences, 23, 169. ; Canto (2014), Stabilization of positive linear discrete - time systems by using a Brauers theorem Scientific World Article ID, Journal. ; Xueand (2007), kind of nonnegative matrices and its application on the stability of discrete dynamical systems Mathematical Application, Analysis, 12, 331. ; Cacace (2016), Positive Systems in and, Lecture Notes Control Information Sciences, 1. ; Robinson (2003), An Introduction to Abstract Algebra de Gruyter, null, 25. ; Carnicer (1998), Strictly totally positive systems, Approximation Theory, 411. ; Birkhoffand (1977), survey of Modern Publishing New York, Algebra, 24. ; Backand (2008), Design of positive linear observers for positive linear systems via coordinate transformations and positive realizations on Control and Optimization, SIAM, 47, 345. ; AitRamiand (2007), Controller synthesis for positive linear systems with bounded controls Systems, IEEE Trans Circuits, 14, 151. ; Haddadand (2008), Nonlinear and Based Approach Princeton Princeton, Dynamical Systems Control, 27. ; Luenberger (1979), Introduction to Dynamic Systems Theory Models and Applications New York, null, 16. ; DeLeenheerand (2001), Stabilization of positive linear systems Systems, Control Letters, 20, 259. ; Hornand (2013), University New, Matrix Analysis, 26. ; Berman (1989), Matrices in Dynamic Systems New York, null, 15. ; Gao (2005), Control for stability positivity Equivalent conditions computation Automatic Control, IEEE Trans, 13, 540. ; Peaucelle (2002), User Guide for Interface Toulouse, null, 28. ; Kaczorekand (2014), The Realization Problem for Positive and Fractional Systems, null. ; Kaczorek (2002), Positive Systems Verlag, null. ; AitRamiand (2006), Positive observation problem for linear discrete positive systems th on Decision Control San CA, Proc IEEE USA, 17, 4729.

DOI

10.1515/acsc-2017-0034

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