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.
This is a preview of subscription content, log in via an institution to check access.
Preview
Unable to display preview. Download preview PDF.
References
Omatu, S. and J.H. Seinfeld, "Existence and Comparison Theorems for Partial Differential Equations of Riccati Type", Journal of Optimization Theorey and Applications, Vol. 36, No. 2, February, 1982, pp.263–275.
Omatu, S. and J.H. Seinfeld, "Optimization of Sensor and Actuator Locations in a Distributed Parameter System", Journal of Franklin Institute, Vol.315, No. 6. May/June, 1983, pp.407–421.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1988 International Federation for Information Processing
About this paper
Cite this paper
Omatu, S., Seinfeld, J.H. (1988). Optimal sensor and actuator locations in distributed parameter systems. In: Iri, M., Yajima, K. (eds) System Modelling and Optimization. Lecture Notes in Control and Information Sciences, vol 113. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0042795
Download citation
DOI: https://doi.org/10.1007/BFb0042795
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-19238-1
Online ISBN: 978-3-540-39164-7
eBook Packages: Springer Book Archive