Original paper: Robust fractional order controller for irrigation main canal pools with time-varying dynamical parameters

Authors:
V. Feliu-Batlle;R. Rivas-Perez;F. J. Castillo-Garcia;L. Sanchez-Rodriguez;A. Linarez-Saez
Affiliations:
Escuela Técnica Superior de Ingenieros Industriales, Universidad de Castilla-La Mancha, Campus Universitario s/n, Ciudad Real 13071, Spain;Department of Automatica and Computer Science, Havana Polytechnic University, Calle 114 No 11901, CUJAE, Marianao, Ciudad de la Habana 19390, Cuba;Escuela Técnica Superior de Ingenieros Industriales, Universidad de Castilla-La Mancha, Campus Universitario s/n, Ciudad Real 13071, Spain;Escuela Universitaria de Ingenieros Técnicos Industriales, Universidad de Castilla-La Mancha, Campus Tecnológico de la Antigua Fábrica de Armas s/n, Toledo 45071, Spain;BEFESA, Avda de la Buharia, 2, Sevilla 41018, Spain
Venue:
Computers and Electronics in Agriculture
Year:
2011

Citing 5
Cited 1

Analysis and design of fractional-order digital control systems

Systems Analysis Modelling Simulation
Technical communique: Fractional order [proportional derivative] controller for a class of fractional order systems

Automatica (Journal of IFAC)
Fractional order controller robust to time delay variations for water distribution in an irrigation main canal pool

Computers and Electronics in Agriculture
Design of a class of fractional controllers from frequency specifications with guaranteed time domain behavior

Computers & Mathematics with Applications
Relay feedback tuning of robust PID controllers with iso-damping property

IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics

Mathematical model for robust control of an irrigation main canal pool

Environmental Modelling & Software

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Abstract

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.