Papers › Computing Optimal Joint Chance Constrained Control Policies

Computing Optimal Joint Chance Constrained Control Policies

16 Dec 2023arXiv:2312.10495links table onlyarchive 2025-07-28

Niklas Schmid, Marta Fochesato, Sarah H. Q. Li, Tobias Sutter, John Lygeros

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We consider the problem of optimally controlling stochastic, Markovian systems subject to joint chance constraints over a finite-time horizon. For such problems, standard Dynamic Programming is inapplicable due to the time correlation of the joint chance constraints, which calls for non-Markovian, and possibly stochastic, policies. Hence, despite the popularity of this problem, solution approaches capable of providing provably-optimal and easy-to-compute policies are still missing. We fill this gap by augmenting the dynamics via a binary state, allowing us to characterize the optimal policies and develop a Dynamic Programming based solution method.

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