Abstract
This chapter reviews the concept of abstracted control systems and introduces the new concepts of traceability, ε-traceability, and ε-consistency. Abstracted systems are simplifications of more complex dynamical systems that retain some important information, such as controllability, about the original system. The notions of traceability, ε-traceability, ε-consistency deal with the relationship between two dynamical systems. This chapter discusses these concepts and applies them to the robotic car and unicycle systems. It starts with a review of several concepts used in the definition of abstraction. A full discussion of these concepts can be found in [47].
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© 2008 Springer-Verlag Berlin Heidelberg
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Mellodge, P., Kachroo, P. (2008). Abstraction. In: Model Abstraction in Dynamical Systems: Application to Mobile Robot Control. Lecture Notes in Control and Information Sciences, vol 379. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-70799-8_5
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DOI: https://doi.org/10.1007/978-3-540-70799-8_5
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-70792-9
Online ISBN: 978-3-540-70799-8
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