Direct methods of optimal control
Numerical Methods for Random Parameter Optimal Control and the Optimal Control of Stochastic Differential Equations
... (direct) methods of deterministic optimal control—here we prefer B OCK ’s direct multiple shooting ...resulting optimal control problems, in particular for Value at Risk ...
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Global optimal control with the direct multiple shooting method
... find optimal solutions to problem 1: first, the global approach to solve the Hamilton-Jacobi-Bellman equations, which corresponds to dynamic programing in a discrete setting; second, indirect approaches that solve ...
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Fast numerical methods for robust nonlinear optimal control under uncertainty
... solution methods for uncertain optimal control To deal with the high polynomial order – and consequently high computational effort – that is necessary to capture the nonlinear uncertainty ...
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Direct Transcription Methods in Optimal Control: Theory and Practice
... ANNA. Direct Transcription Methods in Optimal Control: Theory and ...In optimal control, as in many other disciplines, individuals developing the theory and those applying it to ...
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Global Optimal Control Using Direct Multiple Shooting
... on control values p resulting in an non-dynamic NLP that can be solved using αBB in combination with the different Gersh- gorins methods including our novel suggestions from Section ...
153
Distributed Optimization Methods for Large Scale Optimal Control
... The local dual Hessian contribution with a nullspace-based QP solver costs about the computation time that is needed to invert the reduced Hessian and a couple of matrix-matrix products. Once a black box QP solver is ...
176
Fast Direct Multiple Shooting Algorithms for Optimal Robot Control
... of direct compared to indirect methods is that they can easily treat inequality constraints, like the inequality path constraints in the formulation ...NLP methods that can deal with inequality ...
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Numerical Methods for Optimal Control Problems with Application to Autonomous Vehicles
... of optimal control problems to validate the solver XOptima proposed by our research ...the direct and indirect methods and for the ...various methods are structurally different, ...the ...
197
Forward and Inverse Methods in Optimal Control and Dynamic Game Theory
... Abstract Optimal control theory is ubiquitous in mathematical sciences and ...nonlinear optimal control by deriving them from first ...inverse optimal control, which is the ...
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Numerical Methods for Mixed-Integer Optimal Control with Combinatorial Constraints
... offline optimal control that accounts for the set-point ...offline optimal control problem we used the same direct shooting discretization as in the case without parameter perturbation ...
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Direct transcription of optimal control problems with finite elements on Bernstein basis
... collocation methods based on Bernstein polynomials had an exponential convergence rate though slower than pseudo-spectral and Chebyshev collocation ...for optimal control ...nonlinear optimal ...
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Exploiting Convexity in Direct Optimal Control: A Sequential Convex Quadratic Programming Method
... in Direct Optimal Control: a Sequential Convex Quadratic Programming Method Robin Verschueren 1 , Niels van Duijkeren 2 , Rien Quirynen 1,3 , Moritz Diehl 1 Abstract— Direct optimal ...
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A direct probabilistic global search method for the solution of constrained optimal control problems
... new direct stochastic algorithm to address the global optimization of the constrained optimal control problem where the interaction between state and control variables is governed by a system ...
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Analytical and Numerical Methods for Optimal Control Problems on Manifolds and Lie Groups.
... The control input/state constraints are handled through the exterior penalty function ...of direct type and relied on the conventional constrained optimizer in MATLAB ...
113
Peer Methods in Optimal Control
... Rosenbrock methods is measured after the computation of the first ...Rosenbrock methods and estimate the error of the first ...Rosenbrock methods we do not measure the spatial error at the new time ...
109
Variational Methods & Optimal Control
... The key to finding conservation laws lies in finding symmetries in the problem. “symmetries” are the result of transformations under which the functional is invariant[r] ...
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Efficient Methods for Stochastic Optimal Control
... globally optimal solution to large classes of control ...with methods based on low rank tensor representations, known as a separated representations, to address the curse of ...solve optimal ...
171
Discrete stochastic optimal control and direct digital control of a process
... In this scenario, one can opt (i) to reduce the controller gain (CG) and to apportion a part of the dead time (time delay); or (ii) reduce the control action by accounting fo[r] ...
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Multigrid Methods for Elliptic Optimal Control Problems
... multigrid methods were developed for general second order elliptic problems in [72, ...element methods of elliptic optimal control problems with pointwise state constraints can be found in ...
133
MODHOC - Multi Objective Direct Hybrid Optimal Control
... Objective Direct Hybrid Optimal Control) is a toolbox for the design, optimisation and trade off study of space systems and ...phase optimal control problems, automatically computing a ...
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