2008 47th IEEE Conference on Decision and Control 2008
DOI: 10.1109/cdc.2008.4738792
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Control of multiple non-holonomic air vehicles under wind uncertainty using Model Predictive Control and decentralized navigation functions

Abstract: We present a novel control scheme for multiple non-holonomic vehicles under uncertainty, which can guarantee collision avoidance while complying with constraints imposed on the vehicles. Dipolar Navigation Functions are used for decentralized conflict-free control, while Model Predictive Control is used in a centralized manner in order to ensure that the resulting trajectories remain feasible with respect to the constraints present and to optimize the performance objectives. The model used is chosen to resembl… Show more

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Cited by 22 publications
(21 citation statements)
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“…65 Navigation function methods have also been combined with MPC; this supplies some type of planning into the future to reject disturbances. 227 Navigation function methods have also been applied to threedimensional scenarios. 226 In cases where finite acceleration bounds are present (but still without any nonholonomic constraints), a mutual repulsion-based navigation system with a more sophisticated avoidance function has been proven to avoid collisions for up to three vehicles.…”
Section: Potential Field Methodsmentioning
confidence: 99%
“…65 Navigation function methods have also been combined with MPC; this supplies some type of planning into the future to reject disturbances. 227 Navigation function methods have also been applied to threedimensional scenarios. 226 In cases where finite acceleration bounds are present (but still without any nonholonomic constraints), a mutual repulsion-based navigation system with a more sophisticated avoidance function has been proven to avoid collisions for up to three vehicles.…”
Section: Potential Field Methodsmentioning
confidence: 99%
“…This will allow a natural extension of operational scenarios in which the UAV will be able to participate successfully, especially in mixed-initiative areas [13,14].…”
Section: Sense and Avoidmentioning
confidence: 98%
“…It is an improved potential field method with no local minima, that guarantees path convergence to the destination in a world with stationary obstacles. Specifically, we use Dipolar Navigation functions [15] which allow the use of a desired orientation at the goal point. Moreover, this method is adapted to work in an environment with partially known objects.…”
Section: B Path Planning Using Navigation Functionsmentioning
confidence: 99%