Optimal control of a laser source to generate a minimum time trajectory of a droplet in a liquid layer

2016 ◽  
Author(s):  
Francesco Biral ◽  
Enrico Bertolazzi ◽  
Paolo Bosetti ◽  
Alberto De Marchi ◽  
Martin M. Hanczyc
Keyword(s):  
Optimal Control ◽  
Liquid Layer ◽  
Minimum Time ◽  
Laser Source

Vehicular Optimal Control

2018 ◽  
pp. 391-426
Author(s):  
David J. N. Limebeer ◽  
Matteo Massaro
Keyword(s):  
Optimal Control ◽  
Minimization Problem ◽  
Optimization Problems ◽  
Structural Features ◽  
Minimum Time ◽  
Time Of Arrival ◽  
Hybrid Powertrain ◽  
Multi Stage ◽  
Time Minimization ◽  
Minimum Time Problems

Chapter 9 deals with the solution of minimum-time and minimum-fuel vehicular optimal control problems. These problems are posed as fuel usage optimization problems under a time-of-arrival constraint, or minimum-time problems under a fuel usage constraint. The first example considers three variants of a simple fuel usage minimization problem under a time-of-arrival constraint. The first variant is worked out theoretically, and serves to highlight several of the structural features of these problems; the other two more complicated variants are solved numerically.The second example is also a multi-stage fuel usage minimization problem under a timeof- arrival constraint.More complicated track and vehicle models are then employed; the problem is solved numerically. The third problem is a lap time minimization problem taken from Formula One and features a thermoelectric hybrid powertrain. The fourth and final problem is a minimum-time closed-circuit racing problem featuring a racing motorcycle and rider.

Minimum-time optimal control of robotic manipulators based on Hamel’s integrators

Meccanica ◽  
2019 ◽  
Vol 54 (15) ◽  
pp. 2521-2537
Author(s):  
Zhipeng An ◽  
Huibin Wu ◽  
Donghua Shi
Keyword(s):  
Optimal Control ◽  
Robotic Manipulators ◽  
Minimum Time ◽  
Time Optimal Control ◽  
Time Optimal

scholarly journals Vehicle Optimal Velocity Curves for Minimum-Time Maneuver

2014 ◽  
Vol 6 ◽  
pp. 194868 ◽  
Author(s):  
Li-xia Zhang ◽  
Fu-quan Pan ◽  
Xiao-yuan Chen ◽  
Feng-yuan Wang ◽  
Jun Lu ◽  
...  
Keyword(s):  
Optimal Control ◽  
Inverse Dynamics ◽  
Minimum Time ◽  
Curvature Radius ◽  
Minimal Amount ◽  
Optimal Velocity ◽  
Moving Vehicles ◽  
New Perspective ◽  
Vehicle Travel Time ◽  
The Given

A problem in vehicle minimum-time maneuver is the assumption that a vehicle passes through a given path in a minimal amount of time without deviating from the boundary of the given path. Vehicle handling inverse dynamics provides a new perspective to solve such problem. Based on inverse dynamics, this paper transformed the problem of optimal vehicle velocity for minimum-time maneuver into that of optimal control with the objective function of minimum time. The path for minimum vehicle travel time and the optimal control model were established. The optimal velocity curves for three types of paths, namely, monotonically increasing path, monotonically decreasing path, and constant radius path, were analyzed. On this basis, the optimal velocity curves were solved for two kinds of concrete paths: a path of decreasing curvature radius followed by a path of increasing curvature radius and another path of increasing curvature radius followed by a path of decreasing curvature radius. Nine cases of possible optimal velocity curves were acquired. The optimal velocity curve of the given path, that is, a parabola followed by a semicircle, was obtained. Optimal velocity curves can be used as reference for vehicle minimum-time maneuver, which is an important issue for driver safety in fast-moving vehicles.

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