Search results for "Minimum time"

showing 5 items of 5 documents

A solution of the minimum-time velocity planning problem based on lattice theory

2018

For a vehicle on an assigned path, we find the minimum-time speed law that satisfies kinematic and dynamic constraints, related to maximum speed and maximum tangential and transversal acceleration. We present a necessary and sufficient condition for the feasibility of the problem and a simple operator, based on the solution of two ordinary differential equations, which computes the optimal solution. Theoretically, we show that the problem feasible set, if not empty, is a lattice, whose supremum element corresponds to the optimal solution.

0303 health sciences0209 industrial biotechnologyComputer Networks and CommunicationsApplied MathematicsMinimum timeFeasible region02 engineering and technologyKinematicsInfimum and supremum03 medical and health sciences020901 industrial engineering & automationControl and Systems EngineeringOptimization and Control (math.OC)Lattice (order)Ordinary differential equationSignal ProcessingFOS: MathematicsApplied mathematicsMathematics - Optimization and Control030304 developmental biologyMathematics
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Microalgae-bacteria consortia in high-rate ponds for treating urban wastewater: Elucidating the key state indicators under dynamic conditions

2020

[EN] On-line performance indicators of a microalgae-bacteria consortium were screened out from different variables based on pH and dissolved oxygen on-line measurements via multivariate projection analysis, aiming at finding on-line key state indicators to easily monitor the process. To fulfil this objective, a pilot-scale high-rate pond for urban wastewater treatment was evaluated under highly variable conditions, i.e. during the start-up period. The system was started-up without seed of either bacterial or microalgal biomass. It took around 19 days to fully develop a microalgal community assimilating nutrients significantly. Slight increases in the biomass productivities in days 26-30 sug…

Environmental EngineeringMonitoring0208 environmental biotechnologyBiomass02 engineering and technology010501 environmental sciencesManagement Monitoring Policy and LawWastewater01 natural sciencesWaste Disposal FluidDomestic wastewaterNutrientStatistical analysesMicroalgaeBiomassPondsWaste Management and DisposalTECNOLOGIA DEL MEDIO AMBIENTE0105 earth and related environmental sciencesHigh rateOpen pondsbiologyBacteria[SDE.IE]Environmental Sciences/Environmental EngineeringMinimum timeEnvironmental engineeringGeneral Medicinebiology.organism_classification6. Clean water020801 environmental engineeringSingle-stage treatmentWastewaterEnvironmental scienceSewage treatmentBacteria
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An Autonomic System for Intelligent Truck Parking

2014

Traffic and road transport conditions are strongly influenced by the decisions of drivers. The more information they receive, the better decisions may be taken about their behavior. This is especially important in the transport of goods, since drivers are subject to traffic laws about maximum driving time and minimum time rest. In this paper a multi-agent system for negotiated management of parking spaces in road rest areas is presented. This system dynamically adapts itself to the preferences and needs of the drivers of goods about parking requests. The system is shown to be robust to incidents regarding the closure of road rest areas and an increased volume of freight traffic. The results…

TruckRest (physics)Road transportTransport engineeringEngineeringParking guidance and informationbusiness.industryMulti-agent systemMinimum timeClosure (psychology)businessProceedings of the 11th International Conference on Informatics in Control, Automation and Robotics
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Sensitivity analysis for time optimal orbit transfer

2001

The minimum time transfer of a satellite around the Earth is studied. In order to deal numerically with low thrusts, a new method is introduced: Based on a so-called noncontrollability function, the technique treats the ha1 time as a parameter. The properties of the method arc studied by means of an infinite dimensional sensitivity analysis. The numerical results obtained by this approach for very low thrusts are given

[ MATH.MATH-OC ] Mathematics [math]/Optimization and Control [math.OC]0209 industrial biotechnologyControl and OptimizationApplied Mathematics010102 general mathematicsMinimum timeMathematical analysis[MATH.MATH-OC] Mathematics [math]/Optimization and Control [math.OC]02 engineering and technologyFunction (mathematics)Management Science and Operations ResearchTime optimal01 natural sciencesArc (geometry)020901 industrial engineering & automationControl theoryTransfer (computing)Physics::Space PhysicsOrbit (dynamics)SatelliteSensitivity (control systems)[MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]0101 mathematicsComputingMilieux_MISCELLANEOUSMathematics
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On the optimal control of the circular restricted three body problem

2011

The context of this work is space mechanics. More precisely, we aim at computing low thrust transfers in the Earth-Moon system modeled by the circular restricted three-body problem. The goal is to calculate the optimal steering of the spacecraft engine with respect to two optimization criteria: Final time and fuel consumption. The contributions of this thesis are of two kinds. Geometric, first, as we study the controllability of the system together with the geometry of the transfers (structure of the command) by means of geometric control tools. Numerical, then, different homotopic methods being developed. A two-three body continuation is used to compute minimum time trajectories, and then …

[ MATH.MATH-OC ] Mathematics [math]/Optimization and Control [math.OC]Earth-Moon transfercontinuations discrète et différentielletrajectoires temps ou consommation minimalesminimum time or fuel consumption trajectories[MATH.MATH-OC] Mathematics [math]/Optimization and Control [math.OC]transfert Terre-Lunecircular restricted three-body problemshootingoptimal controlcontrôle optimalpoussée faibleméthode de tirproblème des trois corps circulaire restreintlow thrust[MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]discrete and differential continuation
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