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To measure or to control: optimal control with scheduled measurements and controls

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2 Author(s)
Imer, O.C. ; GE Global Res., Niskayuna, NY ; Basar, T.

We consider a linear discrete-time optimal control problem where the controller has to choose between measurement and control. The controller is restricted in such a way that at a given time instance, it may either send a control packet to the actuator, or it can request a measurement packet from the sensor. We show that under a quadratic cost structure that does not penalize the control directly, the optimal control is a linear threshold policy, where the controller decides to measure or control by comparing its last measurement of the plant state against a pre-determined threshold

Published in:

American Control Conference, 2006

Date of Conference:

14-16 June 2006