An Optimal and Stabilising PI Controller with an Anti-windup Scheme for a Purification Process of Potable Water
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An Optimal and Stabilising PI Controller with an Anti-windup Scheme for a Purification Process of Potable Water. / Mercorelli, Paolo.
In: IFAC-PapersOnLine, Vol. 48, No. 25, 01.10.2015, p. 259-264.Research output: Journal contributions › Conference article in journal › Research › peer-review
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TY - JOUR
T1 - An Optimal and Stabilising PI Controller with an Anti-windup Scheme for a Purification Process of Potable Water
AU - Mercorelli, Paolo
N1 - Conference code: 16
PY - 2015/10/1
Y1 - 2015/10/1
N2 - This paper deals with a heuristic optimal strategy for the parameters of a PI controller to be applied in a system used for the regeneration of potable water. Because of the presence of a saturation an anti-windup control structure is considered to manage saturation effects. In order to analyse the stability and the dynamic performance of the controlled system a Lyapunov approach is proposed. Through this approach the condition of the three parameters which characterise the controller (PI and anti-windup scheme) are calculated to obtain a compromise between stable fast dynamics and and an optimality according to a chosen cost function to be minimised. The method consists of increasing the parameter of the proportional controller until the step answer of the controlled system equals the desired settling time. After that a heuristic optimisation algorithm is applied for setting up the other parameters of the controller. Simulations using real parameters of the system are shown.
AB - This paper deals with a heuristic optimal strategy for the parameters of a PI controller to be applied in a system used for the regeneration of potable water. Because of the presence of a saturation an anti-windup control structure is considered to manage saturation effects. In order to analyse the stability and the dynamic performance of the controlled system a Lyapunov approach is proposed. Through this approach the condition of the three parameters which characterise the controller (PI and anti-windup scheme) are calculated to obtain a compromise between stable fast dynamics and and an optimality according to a chosen cost function to be minimised. The method consists of increasing the parameter of the proportional controller until the step answer of the controlled system equals the desired settling time. After that a heuristic optimisation algorithm is applied for setting up the other parameters of the controller. Simulations using real parameters of the system are shown.
KW - Engineering
KW - Applications
KW - Optimal control
KW - Lyapunov Stability
KW - saturation control
KW - Anti-windup
U2 - 10.1016/j.ifacol.2015.11.097
DO - 10.1016/j.ifacol.2015.11.097
M3 - Conference article in journal
VL - 48
SP - 259
EP - 264
JO - IFAC-PapersOnLine
JF - IFAC-PapersOnLine
SN - 2405-8971
IS - 25
T2 - 16th IFAC Workshop on Control Applications of Optimization - CAO’2015
Y2 - 6 October 2015 through 9 October 2015
ER -