Singular perturbation method for a closed-loop optimal control problem

1980 ◽  
Vol 127 (1) ◽  
pp. 1 ◽  
Author(s):  
D.S. Naidu ◽  
D.S. Naidu ◽  
P.K. Rajagopalan
Keyword(s):  
Optimal Control ◽  
Optimal Control Problem ◽  
Singular Perturbation ◽  
Control Problem ◽  
Perturbation Method ◽  
Closed Loop ◽  
Singular Perturbation Method

scholarly journals An optimal control problem in closed-loop neuroprostheses

2011 ◽  
Author(s):  
Gautam Kumar ◽  
Vikram Aggarwal ◽  
Nitish V. Thakor ◽  
Marc H. Schieber ◽  
Mayuresh V. Kothare
Keyword(s):  
Optimal Control ◽  
Optimal Control Problem ◽  
Control Problem ◽  
Closed Loop

scholarly journals Prospects on Solving an Optimal Control Problem with Bounded Uncertainties on Parameters using Interval Arithmetics

2021 ◽  
Author(s):  
Etienne Bertin ◽  
Elliot Brendel ◽  
Bruno Hérissé ◽  
Julien Alexandre dit Sandretto ◽  
Alexandre Chapoutot
Keyword(s):  
Optimal Control ◽  
Optimal Control Problem ◽  
Control Problem ◽  
Closed Loop ◽  
Minimum Principle ◽  
Open Loop ◽  
Pontryagin Minimum Principle ◽  
Interval Method ◽  
Bounded Uncertainties ◽  
The Given

An interval method based on the Pontryagin Minimum Principle is proposed to enclose the solutions of an optimal control problem with embedded bounded uncertainties. This method is used to compute an enclosure of all optimal trajectories of the problem, as well as open loop and closed loop enclosures meant to enclose a concrete system using an optimal control regulator with inaccurate knowledge of the parameters. The differences in geometry of these enclosures are exposed, as well as some applications. For instance guaranteeing that the given optimal control problem will yield a satisfactory trajectory for any realization of the uncertainties or on the contrary that the problem is unsuitable and needs to be adjusted.

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