scholarly journals Minimizing the linear combination of time and energy costs in the optimal control problem for a dynamically symmetric rigid body rotations

2019 ◽  
pp. 81-85
Author(s):  
N. A. Strelkova ◽  
Keyword(s):  
Optimal Control ◽  
Optimal Control Problem ◽  
Rigid Body ◽  
Control Problem ◽  
Linear Combination ◽  
Energy Costs ◽  
Symmetric Rigid Body ◽  
Time And Energy

scholarly journals Commande optimale en temps minimal d'un procédé biologique d'épuration de l'eau

2014 ◽  
Vol Volume 18, 2014 ◽  
Author(s):  
Walid Bouafs ◽  
Nahla Abdellatif ◽  
Frédéric Jean ◽  
Harmand Jérôme
Keyword(s):  
Optimal Control ◽  
Optimal Control Problem ◽  
Control Problem ◽  
Sequencing Batch Reactor ◽  
Batch Reactor ◽  
The Other ◽  
Optimal Trajectories ◽  
Optimal Controls ◽  
International Audience ◽  
Time And Energy

International audience In this work, we consider an optimal control problem of a biological sequencing batch reactor for the treatment of pollutants. This model includes two biological reactions, one being aerobic while the other is anoxic. We are first interested in a problem of optimal control in time and then, in both time and energy. The existence of the optimal trajectories is proven and the corresponding optimal controls are derived in each case.

scholarly journals Jerk Limited Time Optimal Control of Flexible Structures

2003 ◽  
Vol 125 (1) ◽  
pp. 139-142 ◽  
Author(s):  
Marco Muenchhof ◽  
Tarunraj Singh
Keyword(s):  
Optimal Control ◽  
Optimal Control Problem ◽  
Boundary Conditions ◽  
Rigid Body ◽  
Control Problem ◽  
Flexible Structures ◽  
Time Optimal Control ◽  
Limited Time ◽  
Time Optimal

This paper addresses the problem of designing jerk limited time-optimal control profiles for rest-to-rest maneuvers of flexible structures. The variation of the structure of the jerk profile as a function of the permissible jerk is studied. An optimal control problem is formulated which includes constraints to cancel the poles corresponding to the rigid body and flexible modes of the system and to satisfy the boundary conditions of the rest-to-rest maneuver. The proposed technique is illustrated on the benchmark Floating Oscillator problem where the jerk profile is parameterized as a bang-off-bang or bang-bang profile.

REDUCED MODEL OF PLASMA DISCHARGE CONTROL IN TOKAMAK WITH IRON CORE

2020 ◽  
Vol 7 (3) ◽  
pp. 11-22
Author(s):  
VALERY ANDREEV ◽  
◽  
ALEXANDER POPOV
Keyword(s):  
Optimal Control ◽  
Inverse Problem ◽  
Optimal Control Problem ◽  
Control Problem ◽  
Nonlinear Behavior ◽  
Plasma Discharge ◽  
Reduced Model ◽  
Iron Core ◽  
Power Sources ◽  
Real Power

A reduced model has been developed to describe the time evolution of a discharge in an iron core tokamak, taking into account the nonlinear behavior of the ferromagnetic during the discharge. The calculation of the discharge scenario and program regime in the tokamak is formulated as an inverse problem - the optimal control problem. The methods for solving the problem are compared and the analysis of the correctness and stability of the control problem is carried out. A model of “quasi-optimal” control is proposed, which allows one to take into account real power sources. The discharge scenarios are calculated for the T-15 tokamak with an iron core.

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