January 2020
Intermediate to advanced
284 pages
6h 9m
English
We aim to address robotics problems with set-membership methods. In this part, we introduce a set of already existing tools based on interval analysis, illustrated using several simple examples of dead-reckoning and range-only state estimation. Each notion developed in this part will then be applied in the following chapters.
Chapter 1 introduces the concepts of interval analysis, constraint programming, contractors and set-inversion. Chapter 2 extends the approach to temporal systems by providing the notion of tubes with their related properties, algebraic contractors and implementation choices.
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