Adaptive Observers with Uncertainty in Loop Tuning for Linear Time-Varying Dynamical Systems

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Nikolay N. Karabutov 1,*

1. Moscow Technological University (MIREA)/Department of Problems Control; Moscow, Russia

* Corresponding author.


Received: 20 Jun. 2016 / Revised: 20 Oct. 2016 / Accepted: 16 Jan. 2017 / Published: 8 Apr. 2017

Index Terms

Identification, adaptive observer, time-varying dynamical system, Lyapunov function, uncertainty, vector combined equations of comparison


The method of construction adaptive observers for linear time-varying dynamical systems with one input and an output is offered. Adaptive algorithms for identification are designed. Adaptive algorithms not realized as an adaptive system contains parametric uncertainty (PU). Realized adaptive algorithms of identification parameters system are offered. They on the procedure of the estimation PU and algorithm of signal adaptation are based. The algorithm of velocity change system parameters estimation is proposed. Estimations PU and its misalignments are obtained. Boundedness of trajectories an adaptive system is proved. Exponential stability conditions of the adaptive system are obtained. Iterative procedure of construction a parametric restrictions area is proposed. Simulation results have confirmed the efficiency of the method construction an adaptive observer.

Cite This Paper

Nikolay Karabutov, "Adaptive Observers with Uncertainty in Loop Tuning for Linear Time-Varying Dynamical Systems", International Journal of Intelligent Systems and Applications(IJISA), Vol.9, No.4, pp.1-13, 2017. DOI:10.5815/ijisa.2017.04.01


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