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 13 of 13 for “"necessary conditions for optimality"”.
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Solution of the two-point boundary value problems of optimal spacecraft rotational maneuvers
Numerical schemes for the solution of two-point boundary value problems arising from the application of optimal control theory to mathematical models of dynamic systems, are discussed. Optimal control problems are formulated for rotational maneuvers of multiple rigid body, asymmetric spacecraft …
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Optimal cooperative power-limited rendezvous
… field. Analytical solutions are obtained for the linearized gravity field. A direct method using direct collocation with nonlinear programming is used for the nonlinear problem. Solutions obtained are checked against the primer vector necessary conditions for optimality. The optimal …
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Inverse optimization of discrete-time systems applied to human locomotion
… functions weighted by unknown parameters. Therefore the aim is to recover the weights governing the objective function. We propose a solution approach in this case that is based on the application of necessary conditions for optimality. We begin with a review of how these necessary conditions …
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Optimal control of impulsive systems using adaptive critic based neural networks
… presents systematic computational tools for the optimal control synthesis of fixed-time and variable-time impulsive systems. Necessary conditions for optimality have been derived for a fixed-time and a variable-time impulsive system using the calculus of variations method. Properties of …
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Time-optimal CNC tool paths : a mathematical model of machining
Free-form surface machining is a fundamental but time-consuming process in modern manufacturing. The central question we ask in this thesis is how to reduce the time that it takes for a 5-axis CNC (Computer Numerical Control) milling machine to sweep an entire free-form surface in its finishing …
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Second order necessary conditions in optimal control
This thesis presents second order necessary conditions for the standard deterministic optimal control problem without conventional regularity assumptions. It reports three different advances in the second-order theory. First, we study conjugate points in smooth optimal control. We describe a set of …
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Optimal control problems on lie groups with symmetry breaking cost functions
… 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 symmetries, we can often study the Hamiltonian system in a vector space whose dimension is …
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Inverse optimal control for deterministic continuous-time nonlinear systems
… which observed trajectories violate first-order necessary conditions for optimality. We consider continuous-time deterministic optimal control systems with a cost function that is a linear combination of known basis functions. We compare our approach with three prior methods of inverse optimal …
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Sum-rate maximization for two-way active channel with unequal subchannel noise powers
… refer to certain wireless links, where the information is conveyed from a source to a destination through a set of parallel orthogonal subchannels. In such channels, the transmitted signals undergo path loss, phase shift, and can also be affected by multi-path propagation effects. In …
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Fuel minimization of a moving vehicle in suburban traffic
… we study how a driver could use traffic light information in order to adapt his speed profile to save fuel. The mission is given by a final destination to reach (through a set of traffic lights) within a specific deadline and the objective is to minimize the fuel consumption. We assume that the …
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Control of Vibratory Energy Harvesters in the Presence of Nonlinearities and Power-Flow Constraints
… in scale from self-powered wireless sensors for structural health monitoring in bridges and buildings to energy harvesting from ocean waves. One of the most challenging aspects of this technology concerns the efficient extraction and transmission of power from transducer to storage. …
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Impacts of managed realignment on low-lying coasts
… We develop a general design framework for time-domain optimal control of active suspensions that aims to treat both the ride quality (response to road disturbances) and handling (response to driver inputs) in combination. The handling inputs can be approximated by external forces on the …
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Dimension Reduction in Structured Dynamical Systems: Optimal-𝓗<sub>2</sub> Approximation, Data-Driven Balancing, and Real-Time Monitoring
… In the first part, balancing-based methods for system-theoretic model reduction of linear time-invariant systems are considered. We generalize conditions for which the balanced truncation $mathcal{H}_{infty}$ error bound is known to hold with equality. Specifically, we show that the bound is …