Minimum-time feedforward plus PID control using a Chebyshev technique

This paper deals with the determination of the (reference) command input to be applied to a closed-loop control system in order to achieve a minimum-time output transition subject to constraints on both the control variable and the system output. In particular we consider the important practical cas...

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Bibliographic Details
Published in2007 46th IEEE Conference on Decision and Control pp. 1795 - 1800
Main Authors Piccagli, Stefano, Visioli, Antonio
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.12.2007
Subjects
Adaptive control
Chebyshev approximation
Constraint optimization
Control systems
Hydraulic actuators
Industrial control
Proportional control
Three-term control
Transfer functions
USA Councils
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ISBN9781424414970
1424414970
ISSN0191-2216
DOI10.1109/CDC.2007.4434234

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Summary:This paper deals with the determination of the (reference) command input to be applied to a closed-loop control system in order to achieve a minimum-time output transition subject to constraints on both the control variable and the system output. In particular we consider the important practical case of a process described by a first-order-plus-dead- time transfer function with a Proportional-Integral-Derivative feedback controller. The optimal command input is determined by suitably approximating the state variables and the input signal by means of Chebyshev series and by subsequently solving a constrained optimization problem. Simulation as well as experimental results demonstrate the effectiveness of the methodology.
ISBN:9781424414970
1424414970
ISSN:0191-2216
DOI:10.1109/CDC.2007.4434234