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Automation and Remote Control
Erschienen in: Automation and Remote Control 11/2023

01.11.2023 | ROBUST, ADAPTIVE, AND NETWORK CONTROL

Exponentially Stable Adaptive Control. Part III. Time-Varying Plants

verfasst von: A. I. Glushchenko, K. A. Lastochkin

Erschienen in: Automation and Remote Control | Ausgabe 11/2023

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Abstract

A state-feedback adaptive control system is proposed for a class of linear systems in the controllable canonical form with time-varying unknown parameters described by known nonstationary exosystems with unknown initial conditions. The solution ensures global exponential stability of the closed-loop system in case a regressor is finitely exciting, and also does not require a priori information about the sign of the high-frequency gain (control direction). The obtained theoretical results are validated via mathematical modeling.
Vorheriger Artikel Adaptive Observer of State and Disturbances for Linear Overparameterized Systems

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Fußnoten
1
A measurable regression equation means that its regressor and regressand are measurable or can be computed, while its parameters are unknown.
 
2
The obtained results can be generalized to MIMO systems in case if the structures of matrices A(t) ∈ \({{\mathbb{R}}^{{n \times n}}}\) and B(t) ∈ \({{\mathbb{R}}^{{n \times m}}}\) are known.
 
3
In general case, the matrices \({{\mathcal{A}}_{\vartheta }}(t)\), \({{\mathcal{A}}_{B}}(t)\) can depend on the system state x(t) in a nonlinear fashion.
 
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Metadaten
Titel
Exponentially Stable Adaptive Control. Part III. Time-Varying Plants
verfasst von
A. I. Glushchenko
K. A. Lastochkin
Publikationsdatum
01.11.2023
Verlag
Pleiades Publishing
Erschienen in
Automation and Remote Control / Ausgabe 11/2023
Print ISSN: 0005-1179
Elektronische ISSN: 1608-3032
DOI
https://doi.org/10.1134/S0005117923110048

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