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Model reference tracking control of continuous-time periodic linear systems with actuator jumping fault and its applications in orbit maneuvering

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  • Control Theory and Applications
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Abstract

This paper deals with the model reference tracking control problem of continuous-time periodic linear systems when the actuator occurs jumping fault. The main contribution is to formulate the parametric design algorithm for the systems by utilizing the parametric solution of the generalized Sylvester matrix equations. The existence condition of the controller is deduced based on the Lyapunov stability theory. The controller consists of the additive contribution of two terms: a feedback term and a feedforward term. The feedback term is the feedback control law which can stabilize the system with finite expected cost. The feedforward term is the complete parametric feedforward tracking compensator. The simulation for flying around mission is carried out about two spacecrafts in elliptical orbit. The simulation results show the effectiveness of the proposed approach.

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Author information

Authors and Affiliations

  1. Center for Control Theory and Guidance Technology, Science Park of Harbin Institute of Technology, Yi Kuang Street, Nan Gang District, Harbin, 150001, China

    Yan-Ming Fu, Yang Lu & Mao-Rui Zhang

Authors
  1. Yan-Ming Fu
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  2. Yang Lu
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  3. Mao-Rui Zhang
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Corresponding author

Correspondence to Yan-Ming Fu.

Additional information

Recommended by Associate Editor Xiaojie Su under the direction of Editor Yoshito Ohta. This work was supported by the National Natural Science Foundation of China under grant numbers 61104059.

Yan-Ming Fu was born in 1978. He received the Ph.D. degree in Control Theory and Application from Harbin Institute of Technology, China, in 2006. Now he is currently an associate professor at the School of Astronautics, Harbin Institute of Technology. His main research interests are intelligent control, robust control and satellite attitude and orbit control.

Yang Lu was born in 1987. He received the B.Eng degree in electrical engineering from Hebei University of Technology, China, in 2010. Now he is a graduate student at the School of Astronautics, Harbin Institute of Technology. His main research interests include the orbit control of the spacecrafts, optimal control and fault diagnostic.

Mao-Rui Zhang was born in 1964. He received the Ph.D. degree in Control Theory and Application from Harbin Institute of Technology, China, 1998. He carried out postdoctoral research at Israel Institute of Technology from 2005 to 2007. He is currently a professor at the School of Astronautics, Harbin Institute of Technology. His main research interests are optimal control, time-delay control and special electro-hydraulic servo system control.

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Fu, YM., Lu, Y. & Zhang, MR. Model reference tracking control of continuous-time periodic linear systems with actuator jumping fault and its applications in orbit maneuvering. Int. J. Control Autom. Syst. 15, 2182–2192 (2017). https://doi.org/10.1007/s12555-016-0104-9

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  • DOI: https://doi.org/10.1007/s12555-016-0104-9

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