NDLI: Optimal placement of actuators and sensors for control of nonequilibrium dynamics

Content Provider	IEEE Xplore Digital Library
Author	Sinha, S. Vaidya, U. Rajaram, R.
Copyright Year	2013
Description	Author affiliation: Dept. of Math., Kent State Univ., Ashtabula, OH, USA (Rajaram, R.) \|\| Dept. of Electr. & Comput. Eng., Iowa State Univ., Ames, IA, USA (Sinha, S.; Vaidya, U.)
Abstract	In this paper, we provide a systematic convex programming-based approach for the optimal locations of static actuators and sensors for the control of nonequilibrium dynamics. The problem is motivated with regard to its application for control of nonequilibrium dynamics in the form of temperature in building systems and control of oil spill in oceanographic flow. The controlled evolution of a passive scalar field, modeling the temperature distribution or the density of oil dispersant, is governed by the linear advection partial differential equation (PDE) with spatially located actuators and sensors. Spatial locations of actuators and sensors are optimized to maximize the controllability and observability of the linear advection PDE. Linear transfer Perron-Frobenius and Koopman operators, associated with the advective velocity field, are used to provide analytical characterization for the controllable and observable spaces of the advection PDE. Set-oriented numerical methods are used for the finite dimensional approximation of the transfer operators and in the formulation of the optimization problem. Application of the framework is demonstrated for the optimal placement of actuators for the release of dispersant for oil spill control.
Starting Page	1083
Ending Page	1088
File Size	532315
Page Count	6
File Format	PDF
ISBN	9783033039629
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2013-07-17
Publisher Place	Switzerland
Access Restriction	Subscribed
Rights Holder	EUCA
Subject Keyword	Actuators Controllability Vectors Sensors Approximation methods Observability Optimization
Content Type	Text
Resource Type	Article

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