TY - JOUR

T1 - Robust fractional order controller for irrigation main canal pools with time-varying dynamical parameters

AU - Feliu-Batlle, V.

AU - Rivas-Perez, R.

AU - Castillo-Garcia, F. J.

AU - Sanchez-Rodriguez, L.

AU - Linarez-Saez, A.

PY - 2011/5

Y1 - 2011/5

N2 - A new method is proposed with which to design a class of robust fractional order controllers - which we denote as FPI controllers since they can be regarded as a generalization of standard PI controllers - for the effective control of water distribution in irrigation main canal pools characterized by time-varying dynamical parameters. The closed loop behavior of the nominal plant is defined by using frequency specifications, which are combined with an optimization procedure that minimizes the IAE (Integral of Absolute Error) - a cost related to the closed loop time response specifications - in the whole range of plant parameter variations. Interest in such robust fractional order controllers is justified by the fact that dynamical parameters of irrigation main canal pools may change drastically according to their operational regimes. Equivalent FPI, PI and PID controllers - in the sense of their exhibiting the same closed loop dynamics for the nominal plant specifications - were simulated for several working conditions, and their behaviors were compared. Additional issues, such as noise rejection or robustness to unmodelled high frequency dynamics have also been considered.

AB - A new method is proposed with which to design a class of robust fractional order controllers - which we denote as FPI controllers since they can be regarded as a generalization of standard PI controllers - for the effective control of water distribution in irrigation main canal pools characterized by time-varying dynamical parameters. The closed loop behavior of the nominal plant is defined by using frequency specifications, which are combined with an optimization procedure that minimizes the IAE (Integral of Absolute Error) - a cost related to the closed loop time response specifications - in the whole range of plant parameter variations. Interest in such robust fractional order controllers is justified by the fact that dynamical parameters of irrigation main canal pools may change drastically according to their operational regimes. Equivalent FPI, PI and PID controllers - in the sense of their exhibiting the same closed loop dynamics for the nominal plant specifications - were simulated for several working conditions, and their behaviors were compared. Additional issues, such as noise rejection or robustness to unmodelled high frequency dynamics have also been considered.

KW - Efficient management of hydraulic resources

KW - Irrigation main canal pool mathematical model

KW - Irrigation main canal pool with time-varying parameters

KW - Robust fractional order PI controller (FPI) design

KW - Water distribution control

UR - http://www.scopus.com/inward/record.url?scp=79955978055&partnerID=8YFLogxK

U2 - 10.1016/j.compag.2011.01.018

DO - 10.1016/j.compag.2011.01.018

M3 - Article

AN - SCOPUS:79955978055

SN - 0168-1699

VL - 76

SP - 205

EP - 217

JO - Computers and Electronics in Agriculture

JF - Computers and Electronics in Agriculture

IS - 2

ER -