Discrete-Time Asymptotic Tracking Control System for a Satellite with a Solar Panel

The aim of this work is to develop a discrete-time control algorithm that allows the attitude angle of a satellite with an attached solar panel to track a prescribed periodically changing reference signal with zero asymptotic error. Using the concept of the general regulation theory for the state sp...

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Published inApplied sciences Vol. 15; no. 12; p. 6674
Main Author Emirsajłow, Zbigniew
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.06.2025
Subjects
Accuracy
Algorithms
Analysis
Beliefs, opinions and attitudes
Control algorithms
Control systems
Control theory
Controllers
discrete-time control system
Employees
error feedback controller
satellite with a solar panel
Satellites
Signal processing
zero asymptotic tracking error
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ISSN2076-3417
2076-3417
DOI10.3390/app15126674

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Abstract The aim of this work is to develop a discrete-time control algorithm that allows the attitude angle of a satellite with an attached solar panel to track a prescribed periodically changing reference signal with zero asymptotic error. Using the concept of the general regulation theory for the state space setup, combined with a time discretization procedure based on the Cayley–Tustin transformation, we derive an error feedback controller. In our control analysis, we prove and explore several system-theoretic properties that are preserved under this continuous-to-discrete time transformation. The obtained discrete-time controller is then applied as a digital control system, demonstrating zero asymptotic tracking error. The theoretical results are tested on a numerical example and computations are performed within the MATLAB R2024b environment, confirming the highly useful nature of the developed approach. The controller also shows some robustness with respect to parametric uncertainty in the satellite model.
AbstractList The aim of this work is to develop a discrete-time control algorithm that allows the attitude angle of a satellite with an attached solar panel to track a prescribed periodically changing reference signal with zero asymptotic error. Using the concept of the general regulation theory for the state space setup, combined with a time discretization procedure based on the Cayley–Tustin transformation, we derive an error feedback controller. In our control analysis, we prove and explore several system-theoretic properties that are preserved under this continuous-to-discrete time transformation. The obtained discrete-time controller is then applied as a digital control system, demonstrating zero asymptotic tracking error. The theoretical results are tested on a numerical example and computations are performed within the MATLAB R2024b environment, confirming the highly useful nature of the developed approach. The controller also shows some robustness with respect to parametric uncertainty in the satellite model.
Audience Academic
Author Emirsajłow, Zbigniew
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10.5028/jatm.2012.04014611
10.1016/j.actaastro.2018.03.023
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10.1109/TAES.2014.130804
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10.1016/j.actaastro.2020.04.015
10.3934/mcrf.2023007
10.1007/978-1-4471-0011-9
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StartPage 6674
SubjectTerms Accuracy
Algorithms
Analysis
Beliefs, opinions and attitudes
Control algorithms
Control systems
Control theory
Controllers
discrete-time control system
Employees
error feedback controller
satellite with a solar panel
Satellites
Signal processing
zero asymptotic tracking error
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Title Discrete-Time Asymptotic Tracking Control System for a Satellite with a Solar Panel
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