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 137 for “"Optimal control problem"”.
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An optimal control problem for a Timoshenko beam
… for constructing design models for LQR control of a Timoshenko structure. We consider two finite element schemes and compare their robustness property. The functional gains are also compared against their counterpart when an Euler-Bernoulli model is used to describe the dynamics of the …
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On a Prototype of an Optimal Control Problem Governed by Ordinary and Partial Differential Equations
Diese Arbeit befasst sich mit Optimalsteuerungsproblemen, welche sowohl gewöhnliche als auch partielle Differentialgleichungen als Nebenbedingungen aufweisen. Da es sich hierbei um ein noch vergleichsweise unerforschtes mathematisches Gebiet handelt, beschränkt sich die Arbeit auf das Erstellen und …
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Systematic procedure to meet specific input/output constraints in the l₁-optimal control problem design
Thesis (M.S.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Computer Science, 1995; and, (M.S.)--Massachusetts Institute of Technology, Sloan School of Management, 1996.
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A nonstandard optimal control problem arising in an economics application: for royalty payment with piecewise function
A current Optimal Control (OC) problem in the region of financial aspects has numerical properties that do not fall into the standard OC problem formulation. In this study, the state value at the final time is y T z where it is free and a priori unknown. Furthermore, the Lagrangian integrand …
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Optimal control problems on lie groups with symmetry breaking cost functions
In this thesis, we consider smooth optimal control systems that evolve on Lie groups. Pontryagin's maximum principle allows us to search for local solutions of the optimal control problem by studying an associated Hamiltonian dynamical system. When the associated Hamiltonian function possess …
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Optimal Control Problems Governed by Nonlinear Partial Differential Equations and Inclusions
… this thesis lies on examining the solvability of optimal control problems constrained by nonlinear partial differential equations (PDE) and inclusions (PDI). There exist statements on the existence of solutions for optimal control problems with linear and semi-linear PDEs with monotone parts. The …
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Memory efficient approaches of second order for optimal control problems
Consider a time-dependent optimal control problem, where the state evolution is described by an initial value problem. There are a variety of numerical methods to solve these problems. The so-called indirect approach is considered detailed in this thesis. The indirect methods solve decoupled …
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Variational analysis and optimal control of the sweeping process
<p>We formulate and study an optimal control problem for the sweeping(Moreau) process, where control functions enter the moving sweeping</p> <p>set. To the best of our knowledge, this is the first study in the literature devoted to optimal control of the sweeping process. We first establish an …
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Development of a nonlinear predictive control algorithm and its application to flotation
… the development of a method of solving nonlinear optimal control problems. This method is then used to solve the underlying optimal control problems. This method is then used to solve the underlying optimal control problem in a nonliear model predictive control (NMPC) strategy. By way of a case …
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Optimal Control Applied to a Mathematical Model for Vancomycin-Resistant Enterococci
… develop a mathematical framework for determining optimal strategies for prevention and treatment of VRE in an Intensive Care Unit (ICU). A system of ve ordinary differential equations describes the movement of ICU patients in and out of different states related to VRE infection. Two control …
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Optimal finite-thrust spacecraft trajectories using direct transcription and nonlinear programming
"A class of methods for the numerical solution of optimal control problems is analyzed and applied to the optimization of finite-thrust spacecraft trajectories. These methods use discrete approximations to the state and control histories, and a discretization of the equations of motion to derive a …
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The variational formulation of a pseudo feedback control algorithm
An on-line, suboptimal feedback control algorithm is proposed and demonstrated. The procedure is developed using a variational formulation of the optimal control problem. A convex index of performance is presumed. The Finite Element Method is used in conjunction with a variable mesh gridation …
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Multilevel-in-Time Methods for Optimal Control of PDEs and Training of Recurrent Neural Networks
… and analyzes “time”-parallel methods for two problem classes: Optimality systems arising in discretized linear-quadratic Partial Differential Equation (PDE)-constrained optimization problems and Recurrent Neural Network (RNN) training problems. While these two problem classes seem different, …
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Real-time path-planning using mixed-integer linear programming and global cost-to-go maps
… the advance in the fields of computer science, control and optimization, it is now possible to build aerial vehicles which do not need pilots. An important capability for such autonomous vehicles is to be able to generate their own path to navigate in a constrained environment and accomplish …
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Optimization study of a trans-Atlantic abort for the U.S. space shuttle using a pseudospectral Legendre method
The problem of performance optimization for a trans-Atlantic shuttle abort is considered. At five points during the second stage of ascent, a failure of a main engine occurs, which necessitates an abort from the nominal mission. The abort trajectories generated initiate from the current state at …
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Optimal control of a biological waste-water treatment plant
… of two differential equations with one bounded control. An optimal control problem of minimizing concentration of contaminated water at terminal time T is stated and solved. Optimal solutions are obtained analytically with the use of Pontryagin's Maximum Principle.
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Scheduling multiclass queueing networks and job shops using fluid and semidefinite relaxations
… networks serve a& useful models for a variety of problems arising in modern communications, computer, and manufacturing systems. Since the optimal control problem for queueing networks is well-known to be intractable, an important theme of research during the last two decades has been the …
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Performance optimization study of a Common Aero Vehicle using a Legendre Pseudospectral Method
The problem of performance optimization of a Common Aero Vehicle (CAV) is considered. In particular, the CAV is modeled as an unpowered high lift-to-drag ratio Earth penetrating re-entry vehicle. The CAV mission design problem is to determine a steering command that takes the CAV from a known …
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Optimal control of wave energy converters
… exerted by waves. This thesis addresses the control of oscillating body WECs and the objective of the control system is to optimise the motion of the devices that maximises the energy absorption. In particular, this thesis presents the formulation of the optimal control problem for WECs in …
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A partial state collocation method for covariance optimal control
… methods of incorporating the covariance in an optimal control problem. Including the covariance in the optimal control problem can be beneficial in the field of navigation where it is desirable to design trajectories which either minimize navigation error or maximize observability for …
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