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Symbolic Abstractions for Nonlinear Control Systems via Feedback Refinement Relation | | Wei Ren
; Dimos V. Dimarogonas
; | | Date: |
25 Nov 2020 | | Abstract: | This paper studies the construction of symbolic abstractions for nonlinear
control systems via feedback refinement relation. Both the delay-free and
time-delay cases are addressed. For the delay-free case, to reduce the
computational complexity, we propose a new approximation approach for the state
and input sets based on a static quantizer, and then a novel symbolic model is
constructed such that the original system and the symbolic model satisfy the
feedback refinement relation. For the time-delay case, both static and dynamic
quantizers are combined to approximate the state and input sets. This leads to
a novel dynamic symbolic model for time-delay control systems, and a feedback
refinement relation is established between the original system and the symbolic
model. Finally, a numerical example is presented to illustrate the obtained
results. | | Source: | arXiv, 2011.12824 | | Services: | Forum | Review | PDF | Favorites | |
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