Control Law Design with Dead-beat Property in Continuous-Time Dynamical Systems

In this paper, an open loop control scheme is developed in order to design a dead-beat control effort in the high order continuous-time systems. The dead-beat control is really a finite-time control law. In this method, the input signal has been manually selected such that the output signal becomes...

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Main Author: Valiollah Ghaffari
Format: Article
Language:English
Published: University of Sistan and Baluchestan 2019-07-01
Series:International Journal of Industrial Electronics, Control and Optimization
Subjects:
Online Access:https://ieco.usb.ac.ir/article_4464_58cdf1366d687d3f9cf02877778c5a6a.pdf
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author Valiollah Ghaffari
author_facet Valiollah Ghaffari
author_sort Valiollah Ghaffari
collection DOAJ
description In this paper, an open loop control scheme is developed in order to design a dead-beat control effort in the high order continuous-time systems. The dead-beat control is really a finite-time control law. In this method, the input signal has been manually selected such that the output signal becomes constant in a finite time. In the LTI systems, having known the step response, a control signal could be exactly selected such a way that the control objective would be met in a finite time. For this end, the dead-beat control problem is firstly investigated in a standard first order system. Then a similar problem is studied in the second order systems. Finally a general design framework would be developed to obtain a dead-beat control policy in the high order continuous-time systems. In the proposed method, the control design problem is deliberately converted into the solution of a linear matrix equation. Therefore the control signal would be determined by solving such an algebraic equation. The proposed procedure is applied in some continuous-time LTI systems. The simulation results are shown effectiveness of the suggested methods for designing of a finite-time control law in the continuous-time systems.
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spelling doaj.art-38f673b204964058a496d4c3ae7dcabd2022-12-22T00:19:32ZengUniversity of Sistan and BaluchestanInternational Journal of Industrial Electronics, Control and Optimization2645-35172645-35682019-07-012318919610.22111/ieco.2019.26269.10694464Control Law Design with Dead-beat Property in Continuous-Time Dynamical SystemsValiollah Ghaffari0Persian Gulf UniversityIn this paper, an open loop control scheme is developed in order to design a dead-beat control effort in the high order continuous-time systems. The dead-beat control is really a finite-time control law. In this method, the input signal has been manually selected such that the output signal becomes constant in a finite time. In the LTI systems, having known the step response, a control signal could be exactly selected such a way that the control objective would be met in a finite time. For this end, the dead-beat control problem is firstly investigated in a standard first order system. Then a similar problem is studied in the second order systems. Finally a general design framework would be developed to obtain a dead-beat control policy in the high order continuous-time systems. In the proposed method, the control design problem is deliberately converted into the solution of a linear matrix equation. Therefore the control signal would be determined by solving such an algebraic equation. The proposed procedure is applied in some continuous-time LTI systems. The simulation results are shown effectiveness of the suggested methods for designing of a finite-time control law in the continuous-time systems.https://ieco.usb.ac.ir/article_4464_58cdf1366d687d3f9cf02877778c5a6a.pdflti control systemdead-beat controlcontinuous-time systemsposicast control
spellingShingle Valiollah Ghaffari
Control Law Design with Dead-beat Property in Continuous-Time Dynamical Systems
International Journal of Industrial Electronics, Control and Optimization
lti control system
dead-beat control
continuous-time systems
posicast control
title Control Law Design with Dead-beat Property in Continuous-Time Dynamical Systems
title_full Control Law Design with Dead-beat Property in Continuous-Time Dynamical Systems
title_fullStr Control Law Design with Dead-beat Property in Continuous-Time Dynamical Systems
title_full_unstemmed Control Law Design with Dead-beat Property in Continuous-Time Dynamical Systems
title_short Control Law Design with Dead-beat Property in Continuous-Time Dynamical Systems
title_sort control law design with dead beat property in continuous time dynamical systems
topic lti control system
dead-beat control
continuous-time systems
posicast control
url https://ieco.usb.ac.ir/article_4464_58cdf1366d687d3f9cf02877778c5a6a.pdf
work_keys_str_mv AT valiollahghaffari controllawdesignwithdeadbeatpropertyincontinuoustimedynamicalsystems