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Discrete-time delay systems: part 1. Global fully actuated case

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Abstract

A basic introduction to the fully actuated system (FAS) approaches for discrete-time systems with delays is given. Firstly, general dynamical discrete-time FAS models with time-varying state delays and constant input delays are proposed. The FAS models are classified into affine ones and non-affine ones, and also ones with and without interconnections. Secondly, controllers for such FASs are designed, which result in constant linear closed-loop systems with arbitrarily assignable eigenstructure. Different from the case of FAS with state delays only, the controller for a discrete-time FAS with an input delay involves a prediction scheme which is constructed based on the open-loop system. The contribution of this paper has laid a fundamental basis for FAS approaches to discrete-time delay systems, and further specific analysis and design problems can be established similar to the continuous-time system case.

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Acknowledgements

This work was partially supported by Fundamental Science Center Program of National Natural Science Foundation of China (Grant No. 62188101), Major Program of National Natural Science Foundation of China (Grant Nos. 61690210, 61690212), National Natural Science Foundation of China (Grant No. 61333003), and Self-Planned Task of State Key Laboratory of Robotics and System (HIT) (Grant No. SKLRS201716A). The author is grateful to his Ph.D. students Guangtai TIAN, Qin ZHAO, Xiubo WANG, Weizhen LIU, Kaixin CUI, Liyao HU, and Prof. Y. CUI, for helping him with reference selection and proofreading. His particular thanks go to his student Tianyi ZHAO for his help in working out the examples.

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Authors and Affiliations

  1. Center for Control Science and Technology, Southern University of Science and Technology, Shenzhen, 518055, China

    Guangren Duan

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

    Guangren Duan

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  1. Guangren Duan
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Correspondence to Guangren Duan.

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Duan, G. Discrete-time delay systems: part 1. Global fully actuated case. Sci. China Inf. Sci. 65, 182201 (2022). https://doi.org/10.1007/s11432-021-3417-3

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  • DOI: https://doi.org/10.1007/s11432-021-3417-3

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