Optimal Robust PID control for first- and second-order plus dead-time processes
Sato, Takao (University of Hyogo. Department of Mechanical Engineering (Japó))
Hayashi, Itaru (University of Hyogo. Department of Mechanical Engineering (Japó))
Horibe, Yohei (University of Hyogo. Department of Mechanical Engineering (Japó))
Vilanova i Arbós, Ramon (Universitat Autònoma de Barcelona. Departament de Telecomunicació i Enginyeria de Sistemes)
Konishi, Yasuo (University of Hyogo. Department of Mechanical Engineering (Japó))
Data: |
2019 |
Resum: |
The present study proposes a new design method for a proportional-integral-derivative (PID) control system for first-order plus dead-time (FOPDT) and over-damped second-order plus dead-time (SOPDT) systems. What is presented is an optimal PID tuning constrained to robust stability. The optimal tuning is defined for each one of the two operation modes the control system may operate in: servo (reference tracking) and regulation (disturbance rejection). The optimization problem is stated for a normalized second-order plant that unifies FOPDT and SOPDT process models. Different robustness levels are considered and for each one of them, the set of optimal controller parameters is obtained. In a second step, suitable formulas are found that provide continuous values for the controller parameters. Finally, the effectiveness of the proposed method is confirmed through numerical examples. |
Ajuts: |
Ministerio de Economía y Competitividad DPI2016-77271
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Drets: |
Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial, la distribució, la comunicació pública de l'obra i la creació d'obres derivades, fins i tot amb finalitats comercials, sempre i quan es reconegui l'autoria de l'obra original. |
Llengua: |
Anglès |
Document: |
Article ; recerca ; Versió publicada |
Matèria: |
PID control ;
FOPDT system ;
SOPDT system ;
Over-damping ;
Sensitivity function ;
Robust stability |
Publicat a: |
Applied sciences (Basel), Vol. 9, Issue 9 (May 2019) , art. 1934, ISSN 2076-3417 |
DOI: 10.3390/app9091934
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