Adaptive Estimation of Time-Varying Parameters in Linearly Parametrized Systems

Author:

Zhu Yongliang1,Pagilla Prabhakar R.1

Affiliation:

1. School of Mechanical and Aerospace Engineering, Oklahoma State University, Stillwater, OK 74078

Abstract

Abstract Adaptive estimation of time-varying parameters in linearly parametrized systems is considered. The estimation time is divided into small intervals; in each interval the time-varying parameter is approximated by a time polynomial with unknown coefficients. A condition for resetting of the parameter estimate at the beginning of each interval is derived; the condition guarantees that the estimate of the time-varying parameter is continuous and also allows for the coefficients of the polynomial to be different in various time intervals. A modified version of the least-squares algorithm is provided to estimate the time-varying parameters. Stability of the proposed algorithm is shown and discussed. Simulation results on an example are given to validate the proposed method.

Publisher

ASME International

Subject

Computer Science Applications,Mechanical Engineering,Instrumentation,Information Systems,Control and Systems Engineering

Reference14 articles.

1. Adaptive Control of a Class of Slowly Time-Varying Plants;Kreisselmeier;Syst. Control Lett.

2. Adaptive Control of Time-Varying Linear Systems;Middleton;IEEE Trans. Autom. Control

3. Adaptive Control of Linear Time-Varying Plants;Tsakalis;Automatica

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