Suboptimal Robust Tube Based MPC: Satellite Attitude Control Application

Document Type : Dynamics, Vibrations, and Control

Authors

1 Ph.D. Student, Faculty of Electrical Engineering, Iran University of Science and Technology, Tehran, Iran

2 Corresponding author: Associate Professor, Faculty of Electrical Engineering, Iran University of Science and Technology, Tehran, Iran

3 Assistant Professor, Iranian Space Research Center, Tehran, Iran

Abstract

In this paper, a satellite attitude control system with the reaction wheels based on suboptimal robust tube based model predictive control is designed. The satellite receives many external bounded disturbances in space. Due to the fact that disturbances have a specific range, it is possible to satellite attitude control by using a robust predictive controller based on a tube. But since the satellite has a system with complex dynamics, the challenge of increasing the volume of calculations arises when calculating the minimal Robust Positive Invariant set. The challenge of increasing the volume of calculations of this set (tube) in complex systems such as satellites is caused by the large number of state variables of the system. The large number of system state variables causes an exponential increase in the volume of calculations due to the formation of multiple Minkowski sums in the tube calculation. In order to solve this challenge, a new solution of robust predictive controller based on suboptimal tube has been presented. This solution reduces the volume of tube calculations. Simulation has been done for the accuracy of the design of the predictive controller based on the suboptimal tube to attitude control of satellite.

Highlights

  • In this research, suboptimal robust tube based MPC to attitude control of satellite is presented.
  • The suboptimal tube, reduces the volume of calculation of mRPI.
  • The Suboptimal tube solution has made it possible to calculate the mRPI set for Complex Systems.

Keywords

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References

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Aerospace Mechanics
Volume 19, Issue 2 - Serial Number 72
Serial No. 72, Summer Quarterly
September 2023
Pages 69-82

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History

  • Receive Date: 25 November 2022
  • Revise Date: 24 December 2022
  • Accept Date: 24 January 2023
  • Publish Date: 21 April 2023

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