An observer-based control of linear systems with uncertain parameters
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<jats:title>Abstract</jats:title> <jats:p> In this paper, the observer-based control for a class of uncertain linear systems is considered. Exponential stabilizability for the system is studied and reduced-order observer is discussed. Numerical examples are given to illustrate obtained results.</jats:p>
HUI (2005), Observer design for systems with unknown inputs of Applied Mathematics and Computer, Int J Science, 15, 431. ; RACHIK (2007), Observer design and admissible disturbances : A discrete disturbed system Mathematical, Applied Sciences, 1. ; LUENBERGER (1971), An introduction to observers on Automatic Control, IEEE Trans, 16, 596. ; RACHIK (2010), Observer for perturbed linear continuous systems Mathematical, Applied Sciences, 4, 681. ; AOKI (1967), Estimation of state vector of a linear stochastic system with a constrained estimator on Automatic control Short papers, IEEE Trans, 12, 432. ; GU (2001), A robust state observer scheme on Automatic Control, IEEE Trans, 46, 1958. ; LAARABI (2010), Observer for perturbed linear discrete systems Mathematical, Int Forum, 5, 2023. ; SAIF (1999), BUSAWON andM A state observer for nonlinear systems on Automatic Control, IEEE Trans, 44, 2098. ; DE LA SEN (2012), An observerbased vaccination law for a SEIR epidemic model of Computer Theory and Engineering, Int J, 4, 379. ; DE LA SEN (1991), The use of Gronwall s lemma for robust compensation of timevarying linear systems of Systems, Int J Science, 22, 885. ; LIEN (2004), An efficient method to design robust observer - based control of uncertain linear systems and, Applied Mathematics Computation, 158. ; LIEN (2004), Robust observer - based control of systems with state perturbations via LMI approach on Automatic control, IEEE Trans, 4, 1365. ; EL KAHLAOUI (2007), On the improvement of the performances of an observer : A discrete linear system Mathematical, Applied Sciences, 1. ; KHAMMASH (2010), Modeling and analysis of stochastic biochemical networks In Control Theory and Systems MIT Press, Biology, 29. ; CHEN (2010), Disturbance - observer - based robust control for time delay uncertain systems of Control , Automation and Systems, Int J, 8, 445. ; LUENBERGER (1964), Observing the state of a linear system on Automatic Control, IEEE Trans, 8, 74. ; THUAN (2012), Observer - based controller design of time - delay systems with an interval time - varying delay of Applied Mathematics and Computer, Int J Science, 22, 921.