Allocating Sensors and Actuators via Optimal Estimation and Control

We consider the problem of planning the location and size of sensors and actuators to achieve optimal dynamic performance. Using basic results from control and convex optimization, we formulate mixed-integer semidefinite programs for the actuator placement and sizing to obtain the linear quadratic r...

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Veröffentlicht in:IEEE transactions on control systems technology Jg. 25; H. 3; S. 1060 - 1067
Hauptverfasser: Taylor, Joshua A., Luangsomboon, Natchanon, Fooladivanda, Dariush
Format: Journal Article
Sprache:Englisch
Veröffentlicht: New York IEEE 01.05.2017
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Schlagworte:
Actuators
Convexity
Covariance matrices
Energy storage
Kalman filter (KF)
Kalman filters
Linear control
Linear quadratic regulator
linear quadratic regulator (LQR)
Measuring instruments
Mixed integer
mixed-integer semidefinite programming
Observability (systems)
phasor measurement unit (PMU)
Phasor measurement units
Phasors
Placement
Planning
Power system dynamics
Semidefinite programming
sensor and actuator placement
Sensors
Sizing
ISSN:1063-6536, 1558-0865
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Zusammenfassung:We consider the problem of planning the location and size of sensors and actuators to achieve optimal dynamic performance. Using basic results from control and convex optimization, we formulate mixed-integer semidefinite programs for the actuator placement and sizing to obtain the linear quadratic regulator with the lowest cost, and the sensor placement to obtain the Kalman filter with the lowest error. The two formulations are nearly identical due to the duality of optimal linear control and estimation. We also pose similar problems in terms of observability and controllability, which result in smaller mixed-integer semidefinite programs. Since the mixed-integer semidefinite programing is not yet a mature technology, we also use greedy heuristics in conjunction with continuous semidefinite programming. The approach is demonstrated on two modern applications from power systems: the placement and sizing of energy storage for regulation and the placement of phasor measurement units for estimation.
Bibliographie:ObjectType-Article-1
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ISSN:1063-6536
1558-0865
DOI:10.1109/TCST.2016.2575799