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A Formal Proof in Coq of a Control Function for the Inverted Pendulum
Damien Rouhling

A Formal Proof in Coq of a Control Function for the Inverted Pendulum

Author / Organization:
Science & Mathematics Published 2018 Verification Pending

Overview & Synopsis

Control theory provides techniques to design controllers, or control functions, for dynamical systems with inputs, so as to grant a particular behaviour of such a system. The inverted pendulum is a classic system in control theory: it is used as a benchmark for nonlinear control techniques and is a model for several other systems with various applications. We formalized in the Coq proof assistant the proof of soundness of a control function for the inverted pendulum. This is a first step towards the formal verification of more complex systems for which safety may be critical.

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Document Information

Document Title A Formal Proof in Coq of a Control Function for the Inverted Pendulum
Author / Organization Damien Rouhling
Subject & Discipline Multidisciplinary Academic Open Research
Categories Science & Mathematics
Publication Year 2018
License / Rights Open Access / Creative Commons
Resource Verification Listed PDF (Verification Pending)
Original Host Website HAL Open Science (hal.science)
File Format application/pdf (Portable Document Format)
Language EN
Catalog ID DOC-60696
Original Source Link Visit Source Page on hal.science »