Marcus Post

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Event-based control aims at reducing the communication effort within a control loop by closing the feedback loop only if an event indicates e.g. a substantial control error. This paper proposes two new methods for event-based control that conjointly guarantee ultimate boundedness of the event-based control loop. The global approach faces the problem of(More)
Recently new techniques for the design of energy efficient trajectories for space missions have been proposed that are based on the circular restricted three body problem as the underlying mathematical model. These techniques exploit the structure and geometry of certain invariant sets and associated invariant manifolds in phase space to systematically(More)
In this article, we introduce a novel three-step approach for solving optimal control problems in space mission design. We demonstrate its potential by the example task of sending a group of spacecraft to a specific Earth L 2 Halo orbit. In each of the three steps we make use of recently developed optimization methods and the result of one step serves as(More)
We consider nonlinear control systems for which only quantized and event-triggered state information is available and which are subject to random delays and losses in the transmission of the state to the controller. We present an optimization based approach for computing globally stabilizing controllers for such systems. Our method is based on recently(More)
The exploitation of symmetries in Markov decision processes has proven to be a powerful concept for state space reduction without compromising solution optimality. In this paper we show how to perform a symmetry reduction for two player zero-sum Markov games with additional symmetry properties. The concept of equivariance symmetry justifies for the first(More)
Event-based control aims at reducing the communication effort within a control loop by closing the feedback loop only if an event indicates e. g. a substantial control error. This paper proposes two new methods for event-based control that conjointly guarantee ultimate boundedness of the event-based control loop. The global approach faces the problem of(More)
During the last decade set oriented methods have been developed for the approximation and analysis of complicated dynamical behavior. These techniques do not only allow the computation of invariant sets such as attractors or invariant manifolds. Also statistical quantities of the dynamics such as invariant measures, transition probabilities, or(More)
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