On calculation of recursive M- and GM-estimates in LQG control systems
Rimantas Pupeikis
Institute of Mathematics and Informatics
Published 2008-12-21


LQG control systems

How to Cite

Pupeikis R. (2008) “On calculation of recursive M- and GM-estimates in LQG control systems”, Lietuvos matematikos rinkinys, 48(proc. LMS), pp. 222–227. doi: 10.15388/LMR.2008.18099.


The aim of the given paper is development of a parametric identification approach for a closedloop system when the parameters of a discrete-time linear time-invariant (LTI) dynamic system as well as that of LQG (Linear Quadratic Gaussian) controller are not known and ought to be calculated. The recursive techniques based on an the maximum likelihood(M) and generalized maximum likelihood(GM) estimator algorithms are applied here in the calculation of the system as well as noise filter parameters. Afterwards, the recursive parameter estimates are used in each current iteration to determine unknown parameters of the LQG-controller, too. The results of numerical simulation by computer are discussed.

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