Convergence analysis of cautious control

Yanxia Zhang; Lei Guo

doi:10.1007/s11432-006-0328-z

Convergence analysis of cautious control

Yanxia Zhang, Lei Guo^*

^*Corresponding author for this work

School of Mathematics and Statistics

CAS - Academy of Mathematics and System Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we present a theoretical analysis on stability and convergence of the cautious control, which has advantages over the traditional certainty equivalence adaptive control, since it takes the parameter estimation error into account in the design, and is also one-step-ahead optimal in the mean square sense under Gaussian assumptions.

Original language	English
Pages (from-to)	328-338
Number of pages	11
Journal	Science in China, Series F: Information Sciences
Volume	49
Issue number	3
DOIs	https://doi.org/10.1007/s11432-006-0328-z
Publication status	Published - Jun 2006

Keywords

Adaptive control
Cautious control
Certainty equivalence
Convergence
Kalman filter
Least-squares
Stability

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10.1007/s11432-006-0328-z

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Zhang, Y., & Guo, L. (2006). Convergence analysis of cautious control. Science in China, Series F: Information Sciences, 49(3), 328-338. https://doi.org/10.1007/s11432-006-0328-z

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abstract = "In this paper, we present a theoretical analysis on stability and convergence of the cautious control, which has advantages over the traditional certainty equivalence adaptive control, since it takes the parameter estimation error into account in the design, and is also one-step-ahead optimal in the mean square sense under Gaussian assumptions.",

keywords = "Adaptive control, Cautious control, Certainty equivalence, Convergence, Kalman filter, Least-squares, Stability",

author = "Yanxia Zhang and Lei Guo",

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AU - Guo, Lei

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AB - In this paper, we present a theoretical analysis on stability and convergence of the cautious control, which has advantages over the traditional certainty equivalence adaptive control, since it takes the parameter estimation error into account in the design, and is also one-step-ahead optimal in the mean square sense under Gaussian assumptions.

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KW - Cautious control

KW - Certainty equivalence

KW - Convergence

KW - Kalman filter

KW - Least-squares

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Convergence analysis of cautious control

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Keywords

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