Exponential convergence of recursive least squares with exponential forgetting factor -adaptive control

Johnstone, Richard M.; Anderson, Brian D.O.

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Exponential convergence of recursive least squares with exponential forgetting factor -adaptive control

Date

1982

Authors

Johnstone, Richard M.

Anderson, Brian D.O.

Abstract

In this paper we demonstrate that provided the setpoint sequence is persistently exciting and the plant is linear, finite-dimensional, time-invariant and possesses a stable inverse, a trajectory-following adaptive control algorithm, with exponential forgetting recursive least squares, is exponentially stable.