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Loop detection of mobile robots using interval analysis. (English) Zbl 1259.93078
Summary: This paper proposes an original set-membership approach for loop detection of mobile robots in the situation where proprioceptive sensors only are available. To detect loops, the new concepts of thet-plane (which is a two dimensional space with time coordinates) are introduced. Intervals of functions (or tubes) are then used to represent uncertain trajectories and tests are provided in order to eliminate parts of the t-plane that do not correspond to any loop. An experiment with an actual underwater robot is proposed in order to illustrate the principle and the efficiency of the approach.

93C85 Automated systems (robots, etc.) in control theory
65G40 General methods in interval analysis
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