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

✍ Scribed by Richard M. Johnstone; Brian D.O. Anderson

Publisher
Elsevier Science
Year
1982
Tongue
English
Weight
430 KB
Volume
2
Category
Article
ISSN
0167-6911

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✦ Synopsis

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. Keywork Adaptive control, Exponential stability, Recursive least squares. ' With further structural assumptions, multivariable plants could be considered,

📜 SIMILAR VOLUMES

Exponential convergence of recursive lea
Exponential convergence of recursive least squares with exponential forgetting factor
✍ Richard M. Johnstone; C. Richard Johnson Jr.; Robert R. Bitmead; Brian D.O. Ande 📂 Article 📅 1982 🏛 Elsevier Science 🌐 English ⚖ 401 KB

This paper demonstrates that, provided the system input is persistently exciting, the recursive least squares estimation algorithm with exponential forgetting factor is exponentially convergent. Further, it is shown that the incorporation of the exponential forgetting factor is necessary to attain