Minimum-Energy Packet Forwarding Policies for LQG Performance in Wireless Control SystemsZ. Zou, B. Demirel and M. JohanssonProceedings of the IEEE Annual Conference on Decision and Control (CDC’12) AbstractThis paper studies minimum-energy packet forwarding policies for communicating sensor measurements from plant to controller over an unreliable multi-hop wireless network so as to guarantee that the optimal controller achieves a pre-specified closed-loop performance. For fixed sampling interval, we demonstrate that the minimal linear-quadratic control loss is monotonically decreasing in the reliability of the sensor-to-controller communication. This allows us to decompose the overall design problem into two separate tasks: finding the minimum end-to-end reliability that allows to achieve a pre-specified linear-quadratic loss, and developing minimum-energy packet forwarding policies under a deadline-constrained reliability requirement. We develop optimal solutions for both subproblems and show how the co-designed system with minimum forwarding energy cost and guaranteed LQG control performance can be found by a one-dimensional search over admissible sampling periods. The paper ends with a numerical example which demonstrates the effectiveness of the proposed framework. @inproceedings{ZDJ:12, Author = {Z. Zou and B. Demirel and M. Johansson}, Booktitle = {Proceedings of the IEEE $51^{st}$ Annual Conference on Decision and Control (CDC'12)}, Pages = {3341--3346 }, Title = {Minimum-Energy Packet Forwarding Policies for LQG Performance in Wireless Control Systems}, Year = {2013} } |