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Boundary control of distributed parameter systems using a discrete state space approach
Author(s) -
Dillabough Megan,
Shang Helen,
McLellan P. James
Publication year - 2014
Publication title -
the canadian journal of chemical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.404
H-Index - 67
eISSN - 1939-019X
pISSN - 0008-4034
DOI - 10.1002/cjce.22002
Subject(s) - setpoint , distributed parameter system , boundary (topology) , state space , controller (irrigation) , control theory (sociology) , partial differential equation , state (computer science) , boundary value problem , computer science , mathematics , control (management) , mathematical analysis , algorithm , statistics , artificial intelligence , agronomy , biology
Abstract Many industrial processes exhibit spatially distributed behaviour and are distributed parameter systems (DPS). Much of the current literature has focused on the control of specific types of DPS, such as those modelled by hyperbolic or parabolic partial differential equations (PDEs). Discrete state space models for these systems (termed as 2‐D systems) have also been studied extensively; however, additional techniques are required to deal with boundary control problems. In this article, a discrete 2‐D state space model for boundary control problems is formulated. A controller is developed for boundary control problems using the discrete state space method. Simulation results indicate that the resulting boundary controller can achieve desirable performance for setpoint tracking.