We propose a new method for trajectory planning to solve the data harvesting problem. In a two-dimensional mission space, $N$ mobile agents are tasked with the collection of data generated at $M$ stationary sources and delivery to a base aiming at minimizing expected delays. An optimal control formulation of this problem provides some initial insights regarding its solution, but it is computationally intractable, especially in the case where the data generating processes are stochastic. We propose an agent trajectory parameterization in terms of general function families which can be subsequently optimized on line through the use of Infinitesimal Perturbation Analysis (IPA). Explicit results are provided for the case of elliptical and Fourier series trajectories and some properties of the solution are identified, including robustness with respect to the data generation processes and scalability in the size of an event set characterizing the underlying hybrid dynamic system.
Stabilization of Predator-Prey Age-Structured Hyperbolic PDE when Harvesting both Species is Inevitable
Stanford University(斯坦福大学);University of California San Diego(加州大学圣迭戈分校);National Technical University of Athens(雅典国立技术大学);University of Stuttgart(斯图加特大学)
Modeling And Control Battery Aging in Energy Harvesting Systems
The Donald Bren School of Information and Computer Science, UC Irvine(加州大学欧文分校唐纳德·布伦信息与计算机科学学院);Dept. of Information Engineering, Computer Science and Mathematics, University of L’Aquila(拉奎拉大学信息与工程、计算机与数学系)