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Optimal sensor and actuator locations in distributed parameter systems

Omatu, Sigeru and Seinfeld, John H. (1988) Optimal sensor and actuator locations in distributed parameter systems. In: System Modelling and Optimization. Lecture Notes in Control and Information Sciences. No.113. Springer-Verlag , Berlin/Heidelberg, pp. 269-276. ISBN 3540192387. https://resolver.caltech.edu/CaltechAUTHORS:20200930-113055318

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Abstract

The optimal sensor and actuator location problem in distributed parameter systems is considered. The sensor and actuator locations are chosen to minimize the performance criterion on the LQG problem with noises dependening on the actuator and sensor locations. The existence theorem for the optimal sensor and actuator locations is proved based on a property of evolution operators. Necessary and sufficient conditions are derived by using properties of operator-valued Riccati equations and evolution operators. It is shown that a duality holds between the sensor and actuator locations.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
https://doi.org/10.1007/bfb0042795DOIBook Section
https://rdcu.be/b7VauPublisherFree ReadCube access
ORCID:
AuthorORCID
Seinfeld, John H.0000-0003-1344-4068
Additional Information:© International Federation for Information Processing 1988.
Series Name:Lecture Notes in Control and Information Sciences
Issue or Number:113
DOI:10.1007/bfb0042795
Record Number:CaltechAUTHORS:20200930-113055318
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20200930-113055318
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:105684
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:30 Sep 2020 19:48
Last Modified:16 Nov 2021 18:45

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