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1 
Optimal control for a modern wind turbine systemYan, Zeyu, master of science in engineering 26 July 2012 (has links)
Wind energy is the most abundant resource in the renewable energy portfolio. Increasing the wind capture capability improves the economic viability of this technology, and makes it more competitive with traditional fossilfuel based supplies. Therefore, it is necessary to explore control strategies that maximize aerodynamic efficiency, thus, the wind energy capture. Several control algorithms are developed and compared during this research. A traditional feedback control is adapted as the benchmark approach, where the turbine torque and the blade pitch angle are used to control the wind turbine operation during partial and full load operations, correspondingly. Augmented feedback control algorithms are then developed to improve the wind energy harvesting. Optimal control methodologies are extensively explored to achieve maximal wind energy capture. Numerical optimization techniques, such as direct shooting optimization are employed. The direct shooting method convert the optimal control problem into a parameter optimization problem and use nonlinear programming algorithm to find the optimal solution. The dynamic programming, a global optimization approach over a time horizon, is also investigated. The dynamic programming finds the control inputs for the blade pitch angle and speed ratio to maximize the power coefficient, based on historical wind data. A dynamic wind turbine model has been developed to facilitate this process by characterizing the performance of the various possible input scenarios. Simulation results of each algorithm on real wind site data are presented to compare the wind energy capture under the proposed control algorithms with the traditional feedback control design. The result of the tradeoff analysis between the computation expense and the energy capture is also reported. / text

2 
On the Duality of Optimal Control Problems with Stochastic Differential EquationsHuschto, Tony January 2008 (has links)
The main achievement of this work is the development of a duality theory for optimal control problems with stochastic differential equations. Incipient with the HamiltonJacobiBellman equation we established a dual problem to a given stochastic control problem and were also able to generalise the assembled theory.

3 
Translating parameter estimation problems from EASYFIT to SOCSDonaldson, Matthew W 29 April 2008
Mathematical models often involve unknown parameters that must be fit to experimental data. These socalled parameter estimation problems have many applications that may involve differential equations, optimization, and control theory. EASYFIT and SOCS are two software packages that solve parameter estimation problems. In this thesis, we discuss the design and implementation of a sourcetosource translator called EFtoSOCS used to translate EASY FIT input into SOCS input. This makes it possible to test SOCS on a large number of parameter estimation problems available in the EASYFIT problem database that vary both in size and difficulty.<p>Parameter estimation problems typically have many locally optimal solutions, and the solution obtained often depends critically on the initial guess for the solution. A 3stage approach is followed to enhance the convergence of solutions in SOCS. The stages are designed to use an initial guess that is progressively closer to the optimal solution found by EASYFIT. Using this approach we run EFtoSOCS on all translatable problems (691) from the EASYFIT database. We find that all but 7 problems produce converged solutions in SOCS. We describe the reasons that SOCS was not able solve these problems, compare the solutions found by SOCS and EASYFIT, and suggest possible improvements to both EFtoSOCS and SOCS.

4 
Translating parameter estimation problems from EASYFIT to SOCSDonaldson, Matthew W 29 April 2008 (has links)
Mathematical models often involve unknown parameters that must be fit to experimental data. These socalled parameter estimation problems have many applications that may involve differential equations, optimization, and control theory. EASYFIT and SOCS are two software packages that solve parameter estimation problems. In this thesis, we discuss the design and implementation of a sourcetosource translator called EFtoSOCS used to translate EASY FIT input into SOCS input. This makes it possible to test SOCS on a large number of parameter estimation problems available in the EASYFIT problem database that vary both in size and difficulty.<p>Parameter estimation problems typically have many locally optimal solutions, and the solution obtained often depends critically on the initial guess for the solution. A 3stage approach is followed to enhance the convergence of solutions in SOCS. The stages are designed to use an initial guess that is progressively closer to the optimal solution found by EASYFIT. Using this approach we run EFtoSOCS on all translatable problems (691) from the EASYFIT database. We find that all but 7 problems produce converged solutions in SOCS. We describe the reasons that SOCS was not able solve these problems, compare the solutions found by SOCS and EASYFIT, and suggest possible improvements to both EFtoSOCS and SOCS.

5 
Computational solution of dynamic optimization problems with general differentialalgebraic constraintsVassiliadis, Vassilios January 1993 (has links)
No description available.

6 
Optimal Control of a Building During an EarthquakeMaples, Kenneth 01 May 2006 (has links)
In this thesis I develop a mathematical model for an apartment building during an earthquake. The movement of the building is restricted to a plane and twisting motions have been assumed negligible. A control system for the building is developed using optimal control techniques. For a quadratic objective functional, the existence of an optimal control is determined and numerical results are generated that show that the controller significantly lowers the chaotic oscillations in the building. The numerical work was done with the Miser3 package for Matlab. Relaxation of different constraints are considered, including multiple controls, varying stories, and different objective functionals.

7 
On the Duality of Optimal Control Problems with Stochastic Differential EquationsHuschto, Tony January 2008 (has links)
<p>The main achievement of this work is the development of a duality theory for optimal control problems with stochastic differential equations. Incipient with the HamiltonJacobiBellman equation we established a dual problem to a given stochastic control problem and were also able to generalise the assembled theory.</p>

8 
Applications of Optimal Control Theory to Infectious Disease ModelingHANSEN, ELSA K S 26 January 2011 (has links)
This thesis investigates the optimal use of intervention strategies to mitigate the spread of infectious diseases. Three main problems are addressed:
(i) The optimal use vaccination and isolation resources under the assumption that these resources are limited. Specifically we address the problem of minimizing the outbreak size and we determine the optimal vaccinationonly, isolationonly and mixed vaccinationisolation strategies.
(ii) The optimal use of a single antiviral drug to minimize the total outbreak size, under the assumption that treatment causes de novo resistance.
(iii) The optimal use of two antiviral drugs to minimize the total infectious burden. Specifically we address the situation where there are two different strains and each strain is effectively treated by only one drug. / Thesis (Ph.D, Mathematics & Statistics)  Queen's University, 20110125 19:59:17.263

9 
Economics, inequalities in health and healthrelated behaviourForster, Martin January 1997 (has links)
No description available.

10 
On the Solution of State Constrained Optimal Control Problems in EconomicsKircheis, Robert January 2008 (has links)
In this work we examine a state constrained resource allocation model a with finite time horizon. Therefore, we use the necessary conditions of the Pontrjagin's Maximum Principle to find candidates for the solution and verify them later on using the sufficient conditions given by the duality concept of Klötzler. Moreover, we proof that the solution of the corresponding infinite horizon model does not fulfill the overtaking criterion of Weizsäcker.

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