NDLI: Multiple Model Predictive Control of Dissipative PDE Systems

Content Provider	IEEE Xplore Digital Library
Author	Bonis, I. Weiguo Xie
Copyright Year	1993
Abstract	Model predictive control (MPC) is a popular strategy, often applied to distributed parameter systems (DPSs). Most DPSs are approximated by nonlinear large-scale models. Using it directly for control applications is problematic because of the high associated computational cost and the nonconvexity of the underlying optimization problem. In this brief, we build on the notion of multiple MPC, combining it with equation-free model reduction techniques, to identify the (relatively low-dimensional) subspace of slow modes and obtain a local reduced-order linear model. This procedure results in an input/output framework, enabling the use of black-box deterministic and stochastic simulators. The set of linear low-dimensional models obtained off-line along the reference trajectories are used for linear MPC, either with off-line gain scheduling or with online identification of the reduced model. In the former approach, the decision to use the model in real time is taken a priori, whereas in the latter a local model is computed online as a function of a set stored in a model bank. The two approaches are discussed and validated using case studies based on a tubular reactor, a highly nonlinear dissipative partial differential equation system exhibiting instabilities and multiplicity of state.
Sponsorship	IEEE Control Systems Society
Starting Page	1206
Ending Page	1214
Page Count	9
File Size	326743
File Format	PDF
ISSN	10636536
Volume Number	22
Issue Number	3
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2014-01-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Computational modeling Mathematical model Reduced order systems Approximation methods Eigenvalues and eigenfunctions Jacobian matrices Adaptation models trajectory piecewise linearization. Equation-free model reduction input/output simulators nonlinear partial differential equations (PDEs) trajectory piecewise linearization
Content Type	Text
Resource Type	Article
Subject	Control and Systems Engineering Electrical and Electronic Engineering

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