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Guard synthesis for safety of hybrid systems using sum of squares programming

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2 Author(s)
Coogan, S. ; Dept. of Electr. Eng. & Comput. Sci., Univ. of California, Berkeley, Berkeley, CA, USA ; Arcak, M.

We present a technique for synthesizing switching guards for hybrid systems by using sum of squares (SOS) programming. The guards are defined to be semialgebraic sets calculated from a bilinear SOS program. We present a method for ensuring that synthesized guards satisfy a state-based safety constraint and do not allow Zeno executions.We use an iterative algorithm to solve the bilinear program and demonstrate our approach with an example.

Published in:

Decision and Control (CDC), 2012 IEEE 51st Annual Conference on

Date of Conference:

10-13 Dec. 2012