NDLI: Reduced modelling and fixed-order control of delay systems applied to a heat exchanger

Content Provider	IET Digital Library
Author	Michiels, Wim Hilhorst, Gijs Pipeleers, Goele Vyhlídal, Tomas Swevers, Jan
Abstract	The authors present an integrated approach for designing low-order multi-objective controllers for linear time-delay systems (TDSs), combining recently developed methods for reduction of delay systems and fixed-order control design, respectively. As a benchmark problem for process control applications, a model of an experimental heat transfer setup is used, which serves to motivate the adopted combination of model reduction and control technique. The former corresponds to a Krylov based reduction procedure, which is generalised to multiple-input-multiple-output systems with state, input and output delays, and allows the adaptive construction of an accurate low-order linear time-invariant approximation of the original linear TDS. Concerning the latter, a fixed-order controller is synthesised for the delay-free approximation, exploiting a recently proposed linear matrix inequality based framework for fixed-order controller design, and validated on the original model. In this way, the systematic overall design procedure, which is grounded in convex optimisation, complements approaches based on directly optimising stability and performance measures as a function of the controller parameters, which may lead to highly nonconvex, even non-smooth optimisation problems. The successful design of a fixed-order multi- H 2 controller is validated on the benchmark problem, confirming the potential of the adopted approach for realistic industrial applications.
Starting Page	3341
Ending Page	3352
Page Count	12
ISSN	17518644
Volume Number	11
e-ISSN	17518652
Issue Number	Issue 18, Dec (2017)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-cta/11/18
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-cta.2017.0453
Journal	IET Control Theory & Applications
Publisher Date	2017-09-27
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Approximation Theory Control of Heat System Control System Analysis Control System Synthesis Control Technique Convex Optimisation Convex Programming Delay Delay-free Approximation Distributed Parameter Control System Experimental Heat-transfer Setup Fixed-order Control Design Fixed-order Multicontroller Heat Exchanger Heat Exchangers Heat Transfer Input Delay Interpolation And Function Approximation Krylov-based Reduction Procedure Linear Algebra Linear Matrix Inequalities Linear Matrix Inequality-based Framework Linear System Linear Time-delay System Low-order Linear Time-invariant Approximation Low-order Multiobjective Controller MIMO System Model Reduction Multiple-input-multiple-output System Multivariable Control System Numerical Analysis Optimisation Technique Output Delay Process Control Application Reduced Modelling Reduced Order System Stability Stability in Control Theory Stability Optimization State Delay Synthesis Method Systematic Overall Design Procedure TDS
Content Type	Text
Resource Type	Article
Subject	Control and Optimization Control and Systems Engineering Human-Computer Interaction Electrical and Electronic Engineering Computer Science Applications

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