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  • This paper is focused on algebraic control of a circuit heating laboratory plant with internal (state) delays using the simple feedback control structure known as One-Degree-of-Freedom (1DoF). The existence of delayed feedbacks in the controlled system brings about inconveniences in controller design and it deteriorates the control performance, namely feedback system stability and periodicity. Algebraic notions such as rings, fields or modules proved to be suitable tools for handling with these problems. In our contribution, a recently developed and revised ring of retarded meromorphic functions is used. A mathematical model of the plant was derived in our previous works. The final controller is verified by simulations in Matlab-Simulink first. Since the plant is controlled via a discrete-time program in PC, a simple controller discretization is proposed. Finally, the control algorithm is verified on a real process and compared with simulations. The results prove the usability of the controller design methodology.
  • This paper is focused on algebraic control of a circuit heating laboratory plant with internal (state) delays using the simple feedback control structure known as One-Degree-of-Freedom (1DoF). The existence of delayed feedbacks in the controlled system brings about inconveniences in controller design and it deteriorates the control performance, namely feedback system stability and periodicity. Algebraic notions such as rings, fields or modules proved to be suitable tools for handling with these problems. In our contribution, a recently developed and revised ring of retarded meromorphic functions is used. A mathematical model of the plant was derived in our previous works. The final controller is verified by simulations in Matlab-Simulink first. Since the plant is controlled via a discrete-time program in PC, a simple controller discretization is proposed. Finally, the control algorithm is verified on a real process and compared with simulations. The results prove the usability of the controller design methodology. (en)
Title
  • Algebraic 1DoF control of heating process with internal delays
  • Algebraic 1DoF control of heating process with internal delays (en)
skos:prefLabel
  • Algebraic 1DoF control of heating process with internal delays
  • Algebraic 1DoF control of heating process with internal delays (en)
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  • RIV/70883521:28140/12:43868761!RIV13-MSM-28140___
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  • P(ED2.1.00/03.0089)
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  • 121643
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  • RIV/70883521:28140/12:43868761
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  • Time-delay systems, Algebraic control, 1DoF control system, Matlab-Simulink, Discretization, Heating plant (en)
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  • Advances in Mathematical and Computational Methods
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  • Pekař, Libor
  • Valenta, Petr
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  • WSEAS
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  • 978-1-61804-117-3
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  • 28140
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