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De Schutter, B.H.K. (author), van den Boom, A.J.J. (author), Xu, J. (author), Safaei Farahani, S. (author)The objective of this paper is to provide a concise introduction to the max-plus algebra and to max-plus linear discrete-event systems. We present the basic concepts of the max-plus algebra and explain how it can be used to model a specific class of discrete-event systems with synchronization but no concurrency. Such systems are called max...journal article 2020
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Xu, J. (author), Buşoniu, Lucian (author), De Schutter, B.H.K. (author)We consider the infinite-horizon optimal control of discrete-time, Lipschitz continuous piecewise affine systems with a single input. Stage costs are discounted, bounded, and use a 1 or ∞-norm. Rather than using the usual fixed-horizon approach from model-predictive control, we tailor an adaptive-horizon method called optimistic planning for...conference paper 2017
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Xu, J. (author), van den Boom, A.J.J. (author), Busoniu, L (author), De Schutter, B.H.K. (author)This paper considers model predictive control for continuous piecewise affine (PWA) systems. In general, this leads to a nonlinear, nonconvex optimization problem. We introduce an approach based on optimistic optimization to solve the resulting optimization problem. Optimistic optimization is based on recursive partitioning of the feasible set...conference paper 2016
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Receding-horizon control for max-plus linear systems with discrete actions using optimistic planningXu, J. (author), Busoniu, L (author), van den Boom, A.J.J. (author), De Schutter, B.H.K. (author)This paper addresses the infinite-horizon optimal control problem for max-plus linear systems where the considered objective function is a sum of discounted stage costs over an infinite horizon. The minimization problem of the cost function is equivalently transformed into a maximization problem of a reward function. The resulting optimal...conference paper 2016