Results 261 to 270 of about 6,760,771 (328)

Dynamic optimization using adaptive direct multiple shooting [PDF]

open access: yesComputers and Chemical Engineering, 2014
Abstract We present a wavelet-based grid refinement approach for direct multiple shooting applied to dynamic optimization problems. The algorithm, named adaptive multiple shooting, automatically generates a problem-dependent parameterization of the control profiles: Starting from an initially coarse parameterization, the control grid is refined ...
Wolfgang Marquardt
exaly   +4 more sources

A multiple-shooting differential dynamic programming algorithm. Part 2: Applications

Acta Astronautica, 2020
A Multiple-Shooting Differential Dynamic Programming Algorithm is applied to a variety of constrained nonlinear optimal control problems, including classic benchmark problems, as well as a robotic arm problem and sensitive spacecraft trajectory ...
Etienne Pellegrini, Ryan P Russell
exaly   +2 more sources

A multiple-shooting differential dynamic programming algorithm. Part 1: Theory

Acta Astronautica, 2020
Multiple-shooting benefits a wide variety of optimal control algorithms by alleviating large sensitivities present in highly nonlinear problems, improving robustness to initial guesses, and increasing the potential for parallel implementation.
Etienne Pellegrini, Ryan P Russell
exaly   +2 more sources

Multiple Shooting in a Microsecond

, 2015
Nonlinear Model Predictive Control (NMPC) is a feedback control technique that uses the most current state estimate of a nonlinear system to compute an optimal plan for the future system behavior. This plan is recomputed at every sampling time, creating feedback. Thus, NMPC needs to repeatedly solve a nonlinear optimal control problem (OCP).
R. Quirynen, M. Vukov, M. Diehl
semanticscholar   +3 more sources

A Multiple-Shooting Technique for Optimal Control

Journal of Optimization Theory and Applications, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
exaly   +3 more sources

Multiple shooting using interval analysis

BIT Numerical Mathematics, 1985
Gegeben ist das lineare Randwertproblem \[ y'(x)=A(x)y(x)+f(x),\quad x\in [a,b],\quad C_ ay(a)=\alpha,\quad C_ by(b)=\beta. \] Dabei bezeichnen A(x) eine \(n\times n\)-Matrix, y(x) und f(x) n-Vektoren, \(C_ a\) eine \(p\times n\)-Matrix und \(C_ b\) eine (n-p)\(\times n\)-Matrix. Teilt man das Intervall [a,b] in m Teilintervalle \(X_ k:=[x_{k-1},x_ k]\)
exaly   +3 more sources

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