Performance measures, performance limits and optimal PI control for the IPDT plant
► Performance achievable under PI control is outlined by performance portrait method. ► Cost function is composed of IAE values of the setpoint and disturbance responses. ► Shape related constraints on the plant input and output are applied. ► Numerical aspects are considered. ► Proposed tunings are...
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| Published in | Journal of process control Vol. 23; no. 4; pp. 500 - 515 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier Ltd
01.04.2013
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| Subjects | |
| Online Access | Get full text |
| ISSN | 0959-1524 1873-2771 |
| DOI | 10.1016/j.jprocont.2013.01.002 |
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| Abstract | ► Performance achievable under PI control is outlined by performance portrait method. ► Cost function is composed of IAE values of the setpoint and disturbance responses. ► Shape related constraints on the plant input and output are applied. ► Numerical aspects are considered. ► Proposed tunings are compared with the best known traditional tuning approaches.
This paper considers PI controller tuning for the Integral Plus Dead Time (IPDT) plant subject to constraints on tolerable deviations from ideal shapes and guaranteeing minimal combined IAE (Integral of Absolute Error) measure composed of weighted IAE values of the setpoint and disturbance step responses. As the ideal responses at the plant output, monotonic (MO) transients are chosen. This implies one-pulse (1P) responses consisting of two monotonic intervals at the plant input. Optimal nominal tunings for the most important situations regarding the servo/regulation trade-off are determined by the newly developed Matlab/Simulink tool based on the performance portrait (PP) method. Generated results confirm Pareto-like limits of performance achievable under PI control and are used in classifying traditional tuning approaches into the setpoint and disturbance oriented ones. Principles of robust PP based tuning are briefly illustrated and conditions of invariance of the closed loop performance against the dead time uncertainty are formulated and checked by simulation. |
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| AbstractList | ► Performance achievable under PI control is outlined by performance portrait method. ► Cost function is composed of IAE values of the setpoint and disturbance responses. ► Shape related constraints on the plant input and output are applied. ► Numerical aspects are considered. ► Proposed tunings are compared with the best known traditional tuning approaches.
This paper considers PI controller tuning for the Integral Plus Dead Time (IPDT) plant subject to constraints on tolerable deviations from ideal shapes and guaranteeing minimal combined IAE (Integral of Absolute Error) measure composed of weighted IAE values of the setpoint and disturbance step responses. As the ideal responses at the plant output, monotonic (MO) transients are chosen. This implies one-pulse (1P) responses consisting of two monotonic intervals at the plant input. Optimal nominal tunings for the most important situations regarding the servo/regulation trade-off are determined by the newly developed Matlab/Simulink tool based on the performance portrait (PP) method. Generated results confirm Pareto-like limits of performance achievable under PI control and are used in classifying traditional tuning approaches into the setpoint and disturbance oriented ones. Principles of robust PP based tuning are briefly illustrated and conditions of invariance of the closed loop performance against the dead time uncertainty are formulated and checked by simulation. |
| Author | Huba, M. |
| Author_xml | – sequence: 1 givenname: M. surname: Huba fullname: Huba, M. email: mikulas.huba@stuba.sk, mikulas.huba@fernuni-hagen.de, hubam@yahoo.com organization: STU FEI Bratislava, Slovakia |
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| Cites_doi | 10.1021/ie0602815 10.1016/S0005-1098(98)00011-9 10.1016/j.jprocont.2010.09.007 10.1016/j.jprocont.2004.01.002 10.1109/41.97556 10.1016/j.jprocont.2011.04.007 10.1016/S0959-1524(02)00062-8 10.1016/S0947-3580(00)71118-6 10.1016/j.jprocont.2009.08.004 10.1111/j.1934-6093.2002.tb00076.x |
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An International Journal of Research and Surveys, Japan – year: 2011 ident: 10.1016/j.jprocont.2013.01.002_bib0050 |
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| Snippet | ► Performance achievable under PI control is outlined by performance portrait method. ► Cost function is composed of IAE values of the setpoint and disturbance... |
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| SubjectTerms | Pareto-optimal Performance evaluation PI control Robust control Servo/regulator control |
| Title | Performance measures, performance limits and optimal PI control for the IPDT plant |
| URI | https://dx.doi.org/10.1016/j.jprocont.2013.01.002 |
| Volume | 23 |
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