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.
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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.
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© 1988 International Federation for Information Processing
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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
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DOI: https://doi.org/10.1007/BFb0042795
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