Adaptive Observers for Linear Time-Varying Dynamic Objects with Uncertainty Estimation

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Nikolay N. Karabutov 1,*

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

* Corresponding author.


Received: 15 Aug. 2016 / Revised: 22 Dec. 2016 / Accepted: 5 Feb. 2017 / Published: 8 Jun. 2017

Index Terms

Adaptive observer, identification, uncer-tainty, time-varying system, exponential dissipativity, Lyapunov vector function


The method for construction adaptive observ-ers (AO) time-varying linear dynamic objects at non-fulfillment of condition excitation constancy (EC) is pro-posed. Synthesis of the adaptive observer is given as the solution of two tasks. The solution first a problem is a choice of the constant matrix decreasing the effect of EC condition. Procedures for obtaining of this matrix are proposed. The matrix specifies restrictions for a vector of parameters AO. The solution of the second problem gives a method of design adaptive multiplicative algorithms in the presence of the obtained restrictions. Procedures for an estimation uncertainty in an object are proposed. They are based on obtaining of static models giving the forecast change of uncertainty. Optimum estimations of the uncertainty are obtained which minimize an error between outputs of the object and AO. An exponential dissipativity of adaptive system is proved. The results of the modeling confirming the effectiveness of designed methods and procedures are presented.

Cite This Paper

Nikolay Karabutov, "Adaptive Observers for Linear Time-Varying Dynamic Objects with Uncertainty Estimation", International Journal of Intelligent Systems and Applications(IJISA), Vol.9, No.6, pp.1-14, 2017. DOI:10.5815/ijisa.2017.06.01


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