Discrete-time adaptive state tracking control schemes using gradient algorithms
This paper revisits a classical adaptive control problem: adaptive state tracking control of a state-space plant model, and solves the open discrete-time state tracking model reference adaptive control problem. Adaptive state tracking control schemes for continuous-time systems have been reported in...
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| Vydáno v: | Automatica (Oxford) Ročník 169; s. 111849 |
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| Jazyk: | angličtina |
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01.11.2024
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| ISSN: | 0005-1098 |
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| Abstract | This paper revisits a classical adaptive control problem: adaptive state tracking control of a state-space plant model, and solves the open discrete-time state tracking model reference adaptive control problem. Adaptive state tracking control schemes for continuous-time systems have been reported in the literature, using a Lyapunov-algorithm based design and analysis procedure. Such a procedure has not been successfully applied to the discrete-time adaptive state tracking control problem which has remained open. In this paper, new adaptive state tracking control schemes are developed for discrete-time systems, using gradient algorithms for updating the controller parameters. Both direct and indirect adaptive designs are derived, which have the desired parameter adaptation properties and closed-loop system stability and state tracking properties. Such a new gradient-algorithm based framework is also applicable to the continuous-time adaptive state tracking control problem to develop new solutions, as compared with the traditional Lyapunov-algorithm based solutions. |
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| AbstractList | This paper revisits a classical adaptive control problem: adaptive state tracking control of a state-space plant model, and solves the open discrete-time state tracking model reference adaptive control problem. Adaptive state tracking control schemes for continuous-time systems have been reported in the literature, using a Lyapunov-algorithm based design and analysis procedure. Such a procedure has not been successfully applied to the discrete-time adaptive state tracking control problem which has remained open. In this paper, new adaptive state tracking control schemes are developed for discrete-time systems, using gradient algorithms for updating the controller parameters. Both direct and indirect adaptive designs are derived, which have the desired parameter adaptation properties and closed-loop system stability and state tracking properties. Such a new gradient-algorithm based framework is also applicable to the continuous-time adaptive state tracking control problem to develop new solutions, as compared with the traditional Lyapunov-algorithm based solutions. |
| ArticleNumber | 111849 |
| Author | Tao, Gang |
| Author_xml | – sequence: 1 givenname: Gang surname: Tao fullname: Tao, Gang email: gt9s@virginia.edu organization: Department of Electrical and Computer Engineering, University of Virginia, Charlottesville, VA 22904, USA |
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| Cites_doi | 10.1109/TAC.2002.800773 10.1016/0005-1098(92)90056-L 10.1016/S0167-6911(02)00341-9 10.1016/j.automatica.2019.108618 10.1016/j.automatica.2023.111071 10.1080/00207179008953544 10.1016/j.automatica.2023.111193 10.1016/j.arcontrol.2021.10.014 10.1016/j.automatica.2014.10.015 10.1109/TAC.2016.2639479 10.1134/S0005117921090010 10.1002/acs.4480060303 10.1080/00207179.2010.544756 |
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| Keywords | Discrete-time systems Gradient algorithms Stability analysis Adaptive control State tracking |
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