Certification with optimal control strategies

Conference contribution
(Conference Contribution)

Publication Details

Author(s): Leyendecker S, Lucas LJ, Owhadi H, Ortiz M
Publication year: 2010
Volume: 10
Conference Proceedings Title: PAMM
Pages range: 621-622


The optimal control methodology called concentration-of-measure optimal control (COMOC), seeks to minimise a concen- tration-of-measure upper bound on the probability of failure of an uncertain system. This bound is computed for a system characterised by a single performance measure depending on random inputs.

This work considers controlled multibody dynamics taking place in an uncertain environment. The goal is to quantify uncertainty in a controlled robot manoeuvre and to minimise the probability of failure with regard to a performance measure. First, a deterministic optimal control problem is solved, yielding state and control trajectories that minimise an objective function. Boundary conditions for the optimal control problem are chosen such that the system performs ideally in the sense of the performance measure. Secondly, the obtained manoeuvre is reconsidered in the presence of uncertainty. Using a concentration-of-measure inequality, a rigorous upper bound for the probability of failure is derived. Finally, an optimisation is performed that searches for a control sequence (in the neighbourhood of the given one), that minimises the probability of failure.

Additional Organisation
Chair of Applied Dynamics

External institutions
California Institute of Technology (Caltech)
Technische Universität Kaiserslautern

How to cite

Leyendecker, S., Lucas, L.J., Owhadi, H., & Ortiz, M. (2010). Certification with optimal control strategies. In PAMM (pp. 621-622). Karlsruhe, Germany, DE.

Leyendecker, Sigrid, et al. "Certification with optimal control strategies." Proceedings of the GAMM Annual Meeting, Karlsruhe, Germany 2010. 621-622.


Last updated on 2018-09-08 at 22:26