Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 20 of 24 for “"Multiple Shooting"”.
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Geometrically Nonlinear Analysis of Axially Symmetric, Composite Pressure Domes Using the Method of Multiple Shooting
… are performed using the technique of multiple shooting. A development of the multiple shooting technique known as stabilized marching is given. Results achieved by use of the multiple shooting technique are verified by comparison to results of finite element analysis using the finite …
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Maximum likelihood estimation in dynamical systems
… of local minima in the space of parameters, <br>multiple shooting methods are used. <br> <br>In particular, this thesis contains: <br> <br>- an examination of the strengths and limits of the maximum likelihood <br>approach for time-discrete systems, using the logistic map as an example; <br> …
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Numerical methods for optimization problems in water flow and reactive solute transport processes of xenobiotics in soils
… Discretization in time is done by multiple shooting. A reduced Generalized Gauss-Newton method is presented that exploits that the systems have only few degrees of freedom. Using directional derivatives for setting up the linearized problems, we end up with essentially the same …
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Memory efficient approaches of second order for optimal control problems
… problem. There are many relationships between multiple shooting techniques and Pantoja method, which are investigated in this thesis. In this context, the equivalence of Pantoja method and multiple shooting method of Riccati type is shown. Moreover, Pantoja method is extended to the case where …
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Singular-perturbation analysis of climb-cruise-dash optimization
… compared to the exact solution obtained using a multiple shooting method.
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A Parallel-In-Time Gradient-Type Method For Optimal Control Problems
… gradient-type method can be interpreted as a multiple-part splitting iteration scheme where control update in one iteration is determined by control variable iterates from multiple previous iterations, and I prove convergence of the new method for sufficiently small fixed step size by showing …
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Time optimal slewing of flexible spacecraft
… solutions for the non-linear problem by a multiple-shooting algorithm. Although this approach is applicable to arbitrary boundary conditions, this work is confined, almost exclusively, to rest-to-rest maneuvers. These maneuvers are shown to possess some interesting symmetric and asymptotic …
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Astrodynamics of the Next Generation Space Weather Prediction Mission
… Earth and the other inner planets. Single and multiple shooting methods are implemented and used to find solutions to the equations of motion of the CRTBP targeting periodic orbits and transfer trajectories. Various transfer methods are discussed and Low Energy transfers using invariant …
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Analysis of the vibrations of inflatable dams under overflow conditions
… equilibrium from membrane theory are solved by a multiple shooting method. The boundary element method is used to solve Laplace’s equation defined on the overflow domain. An iterative scheme is adopted to obtain the shape of the dam, as well as the location of the free surface. From the …
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Efficient Object-Oriented Modelling, Simulation and Parameter Estimation for Biomechanical Problems
… use the Generalized Gauß--Newton method based on multiple shooting discretization to estimate the parameters of this dynamic nonlinear parameter estimation problem using measurement data taken from motion capturing. We adapt modelling, integration and optimization independently and in combination. …
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Optimal and on-board near-optimal midcourse guidance
… via the usual necessary conditions and a multiple-shooting algorithm. A requirement on terminal velocity magnitude is examined for its effect on firing range. Next, a study of the optimal midcourse guidance problem with reduced-order models is presented. The models under study, in addition …
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On-board near-optimal climb-dash energy management
… twopoint- -boundary-value-problem, found by a multiple shooting technique) . This transition which occurs instantaneously in the energy model, is approximated by the use of a feedback control law. The gains are determined by numerical differentiation about the nominal optimal path. Once the …
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Numerical solution of optimal control problems with implicitly defined discontinuities with applications in engineering
… Our solution approach builds on the direct multiple shooting approach which allows the combination of appropriate DAE solvers with modern simultaneous optimization strategies. To solve the underlying optimization problem we apply SQP methods. We explain our strategy to provide sensitivity …
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Development of a nonlinear predictive control algorithm and its application to flotation
… these problems have been solved using the multiple shooting differential equation solver, or variants of it. In this work the BVP is solved by orthogonal collocation, using the FORTRAN package COLSYS. Stragegies are developed to solve a number of different classes of optimal control …
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Coupled orbit-attitude mission design in the circular restricted three-body problem
… of mass is modeled in the CR3BP equations. A multiple shooting and continuation procedure are employed to target orbit-attitude periodic solutions in this model. Application of Floquet theory, Poincaré mapping, and grid search to identify initial guesses for the targeting algorithm is …
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Numerical Methods for Parameter Estimation and Optimal Control of the Red River Network
… lowland. This problem is solved by the direct multiple shooting method within the software package MUSCOD-II. We propose an online optimization approach with a Nonlinear Model Predictive Control (NMPC) technique to reduce the maximum flood level at Ha Noi by controlling the water discharge at …
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Solar Sailing Adaptive Control Around the Earth-Moon Lagrange Point L4 for Stellar Observations
… of the Earth-Moon system. Single and multiple shooting techniques are described along with a pseudo arc-length continuation method for preliminary orbit design. Periodic orbits in the vicinity of L<sub>4</sub> are obtained in the context of the Earth-Moon circular restricted three-body …
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Optimierung von dynamischen Multiple-Setpoint-Problemen mit Anwendung bei Fahrzeugmodellen
… Die Formulierung eines sogenannten Multiple-Setpoint-Problems führt zu Lösungen, die in der praktischen Anwendung oft deutlich bessere Ergebnisse erzielen als bei der üblichen Formulierung eines Optimierungproblems, da für einen ganzen Bereich (Multiple-Setpoint-Lösung) optimiert …
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Validated global multiobjective optimization of trajectories in nonlinear dynamical systems
… with local optimization methods (commonly, multiple shooting with sequential quadratic programming), combined with stochastic or expert-guided sampling to seek global optimality. This approach substantially relies on pre-existing intuition about the character of optimal solutions, and …
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Optimal control techniques for multimode propulsion mission design in cislunar space
… impulse) between the modes. Forward single shooting is used to solve the example interplanetary and geocentric transfers in combination with hyperbolic tangent smoothing (HTS) for the throttle. To solve multimode cislunar minimum-fuel problems, a new technique is developed using modified …
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