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Parametric output regulation using observer-based PI controllers with applications in flexible spacecraft attitude control

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Abstract

A parametric multiobjective design approach based on a proportional-integral (PI) controller and a full-state observer is proposed for output regulation in a multivariable linear system. First, a complete parametric form of the observer-based PI control law is established, which yields a closed-loop system with the desired eigenstructure and ensures that the regulated output asymptotically tracks a given constant signal in the presence of constant but unknown disturbances. All design degrees of freedom are preserved and characterized using a set of parameter vectors. Second, a separation principle of eigenvalue sensitivities is proven, and based on this result, the parameters of the closed-loop system are comprehensively optimized to reduce the eigenvalue sensitivity and the control gain, and also to enhance the tolerance to time-varying disturbances. Finally, the proposed method is applied to attitude control of a flexible spacecraft. Moreover, numerical simulations based on practical engineering parameters are performed to verify the superiority of the proposed method over traditional proportional-integral-derivative (PID) control methods.

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Acknowledgements

This work was supported by Major Program of National Natural Science Foundation of China (Grant Nos. 61690210, 61690212), Self-Planned Task of State Key Laboratory of Robotics and System (HIT) (Grant No. SKLRS201716A), and National Natural Science Foundation of China (Grant No. 61333003). The authors are very grateful to the anonymous associate editor and reviewers for their meaningful suggestions and comments.

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Authors and Affiliations

  1. Center for Control Theory and Guidance Technology, Harbin Institute of Technology, Harbin, 150001, China

    Guangren Duan & Tianyi Zhao

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  1. Guangren Duan
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  2. Tianyi Zhao
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Correspondence to Guangren Duan.

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Duan, G., Zhao, T. Parametric output regulation using observer-based PI controllers with applications in flexible spacecraft attitude control. Sci. China Inf. Sci. 64, 172210 (2021). https://doi.org/10.1007/s11432-020-3078-1

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  • DOI: https://doi.org/10.1007/s11432-020-3078-1

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