NDLI: Design and Simulation of Low Order Control Laws for High Order Thermal Models

Content Provider	The American Society of Mechanical Engineers (ASME) Digital Collection
Author	Brand, Ziv Berman, Nadav Rodnay, Guy
Copyright Year	2008
Abstract	A method for designing small scale control laws for large scale thermal systems is proposed. For high order models, traditional control theory produces high order control laws, which are impractical to implement. Here, Balanced Truncation is used to reduce the order of the model, while preserving as much as possible the dynamical properties that are important for controller design. Then, a low order controller is designed by applying a standard linear quadratic optimal control design procedure on the reduced model. The small scale controller performance is tested by incorporating it in a simulation with the full scale model. A geometric approach is used, in order to propose that the norms that are defined on the input and output spaces of the system should be the same in the model reduction phase and in the optimal controller design phase. This way, the cost function of the optimal controller is taken into account during the model reduction phase. A reduced order observer which allows real time estimation of process values that cannot be directly measured can be easily designed. The input signals that are computed during closed loop simulation can be also used in real time open loop operation. Hence, the work has a pure computational aspect: calculate the heat fluxes that are required in order to track a temperature profile that is given for a set of output points. Integrating standard computational methods with standard control theory via the Balanced Truncation algorithm is proved to be a powerful tool.
Sponsorship	International
Starting Page	457
Ending Page	462
Page Count	6
File Format	PDF
ISBN	9780791848364
DOI	10.1115/ESDA2008-59215
e-ISBN	0791838277
Volume Number	Volume 2: Automotive Systems; Bioengineering and Biomedical Technology; Computational Mechanics; Controls; Dynamical Systems
Conference Proceedings	ASME 2008 9th Biennial Conference on Engineering Systems Design and Analysis
Language	English
Publisher Date	2008-07-07
Publisher Place	Haifa, Israel
Access Restriction	Subscribed
Subject Keyword	Space Computational methods Control equipment Temperature profiles Thermal systems Design Heat Algorithms Simulation Optimal control Flux (metallurgy) Control theory Signals
Content Type	Text
Resource Type	Article

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