Mathematics – Optimization and Control
Scientific paper
2012-04-13
Mathematics
Optimization and Control
25 pages, 8 figures
Scientific paper
We consider the joint design of forwarding policies and controllers for wireless control loops where sensor measurements are sent over an unreliable multi-hop wireless network to the controller node. For fixed sampling rate of the control loop, the co-design problem separates into two well-defined and independent subproblems: transmission scheduling for maximizing the delay-constrained reliability and optimal control under packet loss. We develop optimal solutions for these subproblems and show that the optimally co-designed system can be found by a one-dimensional search over the sampling interval. Several numerical examples illustrate the power of our approach.
Demirel Burak
Johansson Mikael
Soldati Pablo
Zou Zhenhua
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