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Complete Parametric Solutions to the Fundamental Problem in High-order Fully Actuated System Approach

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  • Control Theory and Applications
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Abstract

The high-order fully actuated system (HOFAS) approach has recently been proposed, aiming at establishing a unified architecture for control of general nonlinear systems. Its core idea is to firstly obtain a HOFAS model for a dynamical system, and then to cancel the nonlinearity using the full-actuation property. Based on this, the control problem of both linear and many types of nonlinear systems is finally turned into a specific eigenstructure assignment problem of a particular matrix pair. Because of this, the specific eigenstructure assignment problem is considered as the fundamental problem of the HOFAS approach, and is investigated in detail in this paper. A general parametric solution is established in an iterative form with all the degrees of freedom provided, and special solutions for some commonly used cases are also given. These form a database for various design problems and provide some ready-to-use results. Finally, illustrative examples demonstrate the usage of the database.

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Authors and Affiliations

  1. Shenzhen Key Laboratory of Control Theory and Intelligent Systems, Southern University of Science and Technology, Shenzhen, 518055, China

    Guang-Ren Duan & Qin Zhao

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

    Guang-Ren Duan

  3. Beijing Institute of Aerospace Systems Engineering, China Academy of Launch Vehicle Technology, Beijing, 100076, China

    Tianyi Zhao

Authors
  1. Guang-Ren Duan
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  3. Tianyi Zhao
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Correspondence to Qin Zhao.

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This work was supported by the Science Center Program of National Natural Science Foundation of China (Grant No. 62188101), the Major Program of National Natural Science Foundation of China (Grant No. 61690210 and 61690212), the National Natural Science Foundation of China (Grant No. 62203207), the China Postdoctoral Science Foundation (Grant No. 2022T150291), Shenzhen Key Laboratory of Control Theory and Intelligent Systems (Grant No. ZDSYS20220330161800001). The authors are grateful to the reviewers for their helpful comments and suggestions. The first author is also grateful to many of his Ph.D. students for proofreading the paper manuscripts.

Guang-Ren Duan received his Ph.D. degree in control systems sciences from Harbin Institute of Technology, Harbin, China, in 1989. After a two-year postdoctoral experience at the same university, he became professor of control systems theory at that university in 1991. He is the founder and the Honorary Director of the Center for Control Theory and Guidance Technology at Harbin Institute of Technology, and recently he is also in charge of the Center for Control Science and Technology at the Southern University of Science and Technology. He visited the University of Hull, the University of Sheffield, and also the Queen’s University of Belfast, UK, from December 1996 to October 2002, and has served as Member of the Science and Technology Committee of the Chinese Ministry of Education, Vice President of the Control Theory and Applications Committee, Chinese Association of Automation (CAA), and Associate Editors of a few international journals. He is currently an Academician of the Chinese Academy of Sciences, and Fellow of CAA, IEEE and IET. His main research interests include parametric control systems design, nonlinear systems, descriptor systems, and spacecraft control. He is the author and co-author of 5 books and over 400 SCI indexed publications.

Qin Zhao received her B.E. and M.E. degrees in navigation guidance and control from Northwestern Polytechnical University, in 2013 and 2016, respectively, and a Ph.D. degree in control science and engineering from Harbin Institute of Technology in 2021. She is currently working as a post-doctor in Southern University of Science and Technology. Her research interests include integrated position and attitude control and inertia parameter identification of spacecraft.

Tianyi Zhao received his B.S. degree in control science and engineering and a Ph.D. degree in navigation, guidance and control from the Harbin Institute of Technology, in 2018. He is currently a Postdoctoral Fellow with the Beijing Institute of Aerospace Systems Engineering. His current research interests include robust control, eigenstructure, and spacecraft control.

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Duan, GR., Zhao, Q. & Zhao, T. Complete Parametric Solutions to the Fundamental Problem in High-order Fully Actuated System Approach. Int. J. Control Autom. Syst. 22, 228–240 (2024). https://doi.org/10.1007/s12555-021-0718-4

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