An Optimal Control Approach for the Persistent Monitoring Problem

Details An Optimal Control Approach for the Persistent Monitoring Problem An Optimal Control Approach for the Persistent Monitoring Problem

2011-08-16

arxiv.org/abs/1108.3221v2

Computer Science

Systems and Control

Technical report accompanying the CDC2011 submission

Scientific paper

We propose an optimal control framework for persistent monitoring problems where the objective is to control the movement of mobile agents to minimize an uncertainty metric in a given mission space. For a single agent in a one-dimensional space, we show that the optimal solution is obtained in terms of a sequence of switching locations, thus reducing it to a parametric optimization problem. Using Infinitesimal Perturbation Analysis (IPA) we obtain a complete solution through a gradient-based algorithm. We also discuss a receding horizon controller which is capable of obtaining a near-optimal solution on-the-fly. We illustrate our approach with numerical examples.

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