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The Direct Multiple Shooting Method for Optimal Control
2011In this chapter we consider a class of continuous optimal control problems. We survey different numerical solution approaches that introduce computationally tractable variants of this problem and discuss their usefulness for the purpose of this thesis.
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A Direct Multiple Shooting Method for Real-Time Optimization of Nonlinear DAE Processes
2000The direct multiple shooting method has long been known as a fast off-line optimization method in ODE and DAE (e.g. [B81,BP84,P81]).
Bock, Hans Georg +3 more
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High Speed Automotive Cam Design Using Direct Multiple-Shooting Optimal Control Techniques
Volume 2: 28th Biennial Mechanisms and Robotics Conference, Parts A and B, 2004Prior investigations have presented the use of optimal control theory in the design of high-speed cam follower systems. These investigations were constrained by the difficulty of numerical solutions of optimal control problems, and this limited the types of criteria investigated, the state inequality constraints considered, and the realism of the ...
Sebastian Mennicke +3 more
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Direct Multiple Shooting for Parabolic PDE Constrained Optimization
2015Direct Multiple Shooting is a flexible and efficient method to solve difficult optimal control problems constrained by ordinary differential equations or differential-algebraic equations. The aim of this article is to concisely summarize the main conceptual and methodological approaches to solve also optimal control problems with parabolic partial ...
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A CAD Package for High-Speed Cam Design Based on Direct Multiple Shooting Optimal Control Techniques
Volume 1: 30th Design Automation Conference, 2004High-speed automotive valve train design requires realistic models of the valve train. However, this frequently results in highly nonlinear systems with discontinuities and constraints. Optimality criteria and trade-offs for the designs are frequently performed through a process of simulation and iterative refinement.
Sebastian Mennicke +3 more
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Molecular Plant
Developing transgenic and/or gene-edited plants largely depends on tedious, lengthy, and costly in vitro regeneration protocols. While plants have remarkable regeneration ability, not all species, genotypes, or even explants exhibit the same transformation and regeneration potential under in vitro conditions.
Arjun Ojha Kshetry +8 more
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Developing transgenic and/or gene-edited plants largely depends on tedious, lengthy, and costly in vitro regeneration protocols. While plants have remarkable regeneration ability, not all species, genotypes, or even explants exhibit the same transformation and regeneration potential under in vitro conditions.
Arjun Ojha Kshetry +8 more
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2015
The paper presents a boundary value problem approach for optimization problems in nonlinear ordinary differential equations, in particular for parameter estimation, based on multiple shooting as originally introduced by Bock in the 1970s. A special emphasis is placed on the theoretical analysis including numerical stability, grid condition and a ...
Hans Georg Bock +2 more
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The paper presents a boundary value problem approach for optimization problems in nonlinear ordinary differential equations, in particular for parameter estimation, based on multiple shooting as originally introduced by Bock in the 1970s. A special emphasis is placed on the theoretical analysis including numerical stability, grid condition and a ...
Hans Georg Bock +2 more
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Guidance, Navigation and Control
While the first-order derivatives of an objective function and constraints have often been analytically provided in the gradient-based optimization algorithms, the joint use of the second-order derivatives can further improve the computational efficiency and robustness.
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While the first-order derivatives of an objective function and constraints have often been analytically provided in the gradient-based optimization algorithms, the joint use of the second-order derivatives can further improve the computational efficiency and robustness.
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2022 IEEE/ASME International Conference on Advanced Intelligent Mechatronics (AIM), 2022
Victor Vantilborgh +2 more
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Victor Vantilborgh +2 more
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Direct multiple shooting for computationally efficient train trajectory optimization
Transportation Research Part C: Emerging Technologies, 2023Dimitris Kouzoupis +2 more
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