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pro vyhledávání: '"Schmid, Niklas"'
This paper develops a method to upper-bound extreme-values of time-windowed risks for stochastic processes. Examples of such risks include the maximum average or 90% quantile of the current along a transmission line in any 5-minute window. This work
Externí odkaz:
http://arxiv.org/abs/2404.06961
We establish a linear programming formulation for the solution of joint chance constrained optimal control problems over finite time horizons. The joint chance constraint may represent an invariance, reachability or reach-avoid specification that the
Externí odkaz:
http://arxiv.org/abs/2402.19360
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 ch
Externí odkaz:
http://arxiv.org/abs/2312.10495
Autor:
Li, Yuchao, Karapetyan, Aren, Schmid, Niklas, Lygeros, John, Johansson, Karl H., Mårtensson, Jonas
In this note, we consider infinite horizon optimal control problems with deterministic systems. Since exact solutions to these problems are often intractable, we propose a parallel model predictive control (MPC) method that provides an approximate so
Externí odkaz:
http://arxiv.org/abs/2309.14560
Probabilistic Reachability and Invariance Computation of Stochastic Systems using Linear Programming
Autor:
Schmid, Niklas, Lygeros, John
We consider the safety evaluation of discrete time, stochastic systems over a finite horizon. Therefore, we discuss and link probabilistic invariance with reachability as well as reach-avoid problems. We show how to efficiently compute these quantiti
Externí odkaz:
http://arxiv.org/abs/2211.07544
Gaussian Process (GP) regressions have proven to be a valuable tool to predict disturbances and model mismatches and incorporate this information into a Model Predictive Control (MPC) prediction. Unfortunately, the computational complexity of inferen
Externí odkaz:
http://arxiv.org/abs/2210.07836
Probabilistic Reachability and Invariance Computation of Stochastic Systems using Linear Programming
Autor:
Schmid, Niklas *, Lygeros, John *
Publikováno v:
In IFAC PapersOnLine 2023 56(2):11229-11234
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