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Martin Klaučo, Slavomír Blažek and Michal Kvasnica

Abstract

A path planning problem for a heterogeneous vehicle is considered. Such a vehicle consists of two parts which have the ability to move individually, but one of them has a shorter range and is therefore required to keep in a close distance to the main vehicle. The objective is to devise an optimal path of minimal length under the condition that at least one part of the heterogeneous system visits all desired waypoints exactly once. Two versions of the problem are considered. One assumes that the order in which the waypoints are visited is known a priori. In such a case we show that the optimal path can be found by solving a mixed-integer second-order cone problem. The second version assumes that the order in which the waypoints are visited is not known a priori, but can be optimized so as to shorten the length of the path. Two approaches to solve this problem are presented and evaluated with respect to computational complexity.

Open access

Martin Klaučo, Richard Valo and Ján Drgoňa

Abstract

An optimization-based control strategy is proposed to improve control performance of a primary PI controller. The strategy, referred to as a MPC-based reference governor, optimizes the performance of a primary PI controller by supplying optimal setpoints to the primary controller. This primary PI controller is responsible for reflux ratio manipulation in a distillation column, to control the temperature of the column head. This paper shows theoretical and experimental results obtained on the laboratory-scale.