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We address the development of the theory and algorithms that can enable a swarm of inexpensive robots or mobile sensors to create topological maps of unknown environments without explicitly requiring metric information. Topological maps are sparse and faithful representations of environments, and are useful constructions for efficient navigation in GPS-denied environments. However, in the absence...
We consider the collision-free motion planning problem for a group of robots using a library of motion primitives. To cope with the complexity of the problem, we introduce an incremental algorithm based on an SMT solver, where we divide the robots into small groups based on a priority assignment algorithm. The priority assignment algorithm assigns priorities to the robots in such a way that the robots...
We consider the problem of deploying a swarm of mobile robots into an unknown environment for attaining complete sensor coverage of the environment. The robots have limited and noisy sensing capabilities and no metric or global information available to them. Using tools from algebraic topology, we formally describe the sensor coverage as a simplicial complex, deploy robots through the complex using...
We present a compositional motion planning framework for multi-robot systems based on an encoding to satisfiability modulo theories (SMT). In our framework, the desired behavior of a group of robots is specified using a set of safe linear temporal logic (LTL) properties. Our method relies on a library of motion primitives, each of which corresponds to a controller that ensures a particular trajectory...
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