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Safe Sequential Path Planning Under Disturbances and Imperfect Information
Multi-UAV systems are safety-critical, and guarantees must be made to ensure
no unsafe configurations occur. Hamilton-Jacobi (HJ) reachability is ideal for
analyzing such safety-critical systems; however, its direct application is
limited to small-scale systems of no more than two vehicles due to an
exponentially-scaling computational complexity. Previously, the sequential path
planning (SPP) method, which assigns strict priorities to vehicles, was
proposed; SPP allows multi-vehicle path planning to be done with a
linearly-scaling computational complexity. However, the previous formulation
assumed that there are no disturbances, and that every vehicle has perfect
knowledge of higher-priority vehicles' positions. In this paper, we make SPP
more practical by providing three different methods to account for disturbances
in dynamics and imperfect knowledge of higher-priority vehicles' states. Each
method has different assumptions about information sharing. We demonstrate our
proposed methods in simulations.Comment: American Control Conference, 201
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