Abstract
The present chapter deals with the study of an important but least known case in the theory of parametric estimation of controlled MS, the case when the vector of unknown system parameters, or that of unknown perturbations affecting the control object, is an unknown (uncontrollable, nonmeasurable) vector function of time. Certain models of solving the problems of adaptive stabilization and optimization under parametric drift conditions, based on utilizing the formalism of Lyapunov functions, were given in earlier researches under a variety of restrictions, for example on the information about the drift model and the rate of change of the parameters. The dominant difficulties that occur in these problems of forming convergent estimation algorithms, concern the proof of the fact that the Lyapunov function monotonically decreases on the trajectories of the controlled process.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2002 Springer Science+Business Media New York
About this chapter
Cite this chapter
Tertychny-Dauri, V.Y. (2002). Adaptive Stabilization of Controlled Mechanical Systems in the Conditions of Unknown Parametric Drift. In: Adaptive Mechanics. Mathematics and Its Applications, vol 538. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-0787-0_6
Download citation
DOI: https://doi.org/10.1007/978-94-007-0787-0_6
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-3727-3
Online ISBN: 978-94-007-0787-0
eBook Packages: Springer Book Archive