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 72 for “"Singular Perturbation"”.
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Singular Perturbation of the Linear State Regulator
Made available in DSpace on 2014-12-10T19:06:56Z (GMT). No. of bitstreams: 1 7212445.pdf: 5680621 bytes, checksum: f15999976e1ee4ae8a4fb925b0f626e3 (MD5) Previous issue date: 1971
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A Singular Perturbation Approach to Power System Dynamics
Made available in DSpace on 2014-12-12T20:54:51Z (GMT). No. of bitstreams: 1 7913370.pdf: 4934947 bytes, checksum: 13fd2a2832762cd4a9a99d26198bc0cd (MD5) Previous issue date: 1978
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Singular-perturbation analysis of climb-cruise-dash optimization
The method of singular-perturbation analysis is applied to the determination of range-fuel-time optimal aircraft trajectories. The problem is shown to break down into three sub-problems which are studied separately. In particular, the inner layer containing the altitude path-angle dynamics is …
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Robust computational methods for two-parameter singular perturbation problems
This thesis is concerned with singularly perturbed two-parameter problems. We study a tted nite difference method as applied on two different meshes namely a piecewise mesh (of Shishkin type) and a graded mesh (of Bakhvalov type) as well as a tted operator nite di erence method. We notice that …
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Singular Perturbation Method in the Theory of Optimal Control
Made available in DSpace on 2014-12-08T22:24:29Z (GMT). No. of bitstreams: 1 6901435.pdf: 2092990 bytes, checksum: ce37069a88f550fc65631d29ac157f7a (MD5) Previous issue date: 1968
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Variable structure and singular perturbation control of elastic dynamical systems
… craft (spacecraft-beam-tip body configuration), singular perturbation technique is used. Based on nonlinear inversion, a control law is derived to decouple the attitude angle and the dominant flexible modes from the remaining elastic modes. The inverse control law decomposes the spacecraft …
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Nonlinear Control System Stability Metrics via A Singular Perturbation Approach
In this dissertation, Singular Perturbation Margin (SPM) and Generalized Gain Margin (GGM) are proposed as stability metrics for Linear Time-Invariant (LTI) systems, Linear Time-Varying (LTV) systems, Nonlinear Time-Invariant (NLTI) systems and Nonlinear Time-Varying (NLTV) systems, which are: (i) …
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Multimodeling and Multiparameter Singular Perturbation in Control and Game Theory
Made available in DSpace on 2014-12-12T20:54:54Z (GMT). No. of bitstreams: 1 7913511.pdf: 4755594 bytes, checksum: 85d51d82f3f66bbe1c03c71323bb01c6 (MD5) Previous issue date: 1978
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Adaptive control of flexible joint robot manipulators: A singular perturbation approach
… Using the composite Lyapunov theory for singularly perturbed systems, sufficient conditions for adaptive trajectory tracking a presented. A second approach based on the method of integral manifolds for singularly perturbed systems is presented next. The known parameter case is treated and …
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Analysing Mathematical Models of Intracellular Calcium Dynamics using Geometric Singular Perturbation Techniques
… intracellular calcium dynamics, using geometric singular perturbation techniques with the aim of determining the usefulness of these techniques and what their limitations are. We find that the number of distinct time scales and the number of variables evolving on each time scale varies between …
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Model simplification and robust control in deterministic and stochastic systems using singular perturbation methods
… and stochastic systems) is the use of ""singular perturbations,"" either as a modeling tool or as a computational tool. The reason for adopting the singular perturbations framework is threefold. First, we must study robustness with respect to fast unmodeled dynamics of different control …
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A multi-loop guidance scheme using singular perturbation and linear quadratic regulator techniques simultaneously
A design method for a multi-loop mixed discrete/continuous trajectory following pitch control algorithm for a generic aerospace vehicle is presented. This design methodology is facilitated by a time scale separation observed in the dynamical system. Two variations of this algorithm are considered, …
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Numerical singular perturbation approaches based on spline approximation methods for solving problems in computational finance
… attracted many researchers. Recently, numerical singular perturbation techniques have been used extensively for solving many differential equation models of sciences and engineering. In this thesis, we explore some of those methods which are based on spline approximations to solve the option …
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Multi-Time-Scale Modeling and Aggregation of Higher Order Synchronous Machine Models (Power Systems, Reduced, Singular Perturbation)
… machines and interconnected power systems using singular perturbation and multi-time-scale techniques. First, a sound mathematical framework for the various reduced order models of synchronous machines found in the literature is obtained and several assumptions commonly overlooked in the …
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Fast half-loop maneuvers for the F/A-18 fighter aircraft using a singular perturbation feedback control law
… maneuver. This feedback law is developed using a singular perturbation approach. A secondary purpose of this study is to establish a baseline for time optimal half-loop maneuvers. The singular perturbation approach makes it possible to develop a state feedback control law which rotates the …
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Energy-turns analysis for a scramjet powered missile
… of a scramjet missile is developed using a singular perturbation technique. The cruise analysis is briefly reviewed to determine the conditions at which the missile will cruise most efficiently. The turn and climb performance of the missile over the conditions of interest is then examined …
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Exact Solutions for Orthogonal and Non-Orthogonal Magnetohydrodynamic Stagnation-Point Flow
… For extreme values of ε, both large and small, singular perturbation techniques are used to derive asymptotic expansions for the physically relevant quantities in the flow--the skin friction at the wall and the tangential component of magnetic intensity at the wall. Extensive comparisons are …
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Time Scales, Coherency, and Weak Coupling
… solution led to the result which shows that the singular perturbation method and modal method for reduced order modeling are two extreme points of an iterative method for the time scale decomposition: singular perturbation is its first point and modal method is the limiting point. Convergence …
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Phosphorylation based insulation devices design and implementation
… in the presence of load is explained through singular perturbation and parameter sensitivity analysis. It was determined that the fast phosphotransfer reactions of the insulation device indeed allowed for retroactivity attenuation provided the substrate and phosphatase concentration are in …
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The Solution of a Parabolic Partial Differential Equation via Domain Decomposition: The Synthesis of Asymptotic and Numerical Analysis
… on a domain decomposition that is dictated by singular perturbation analysis. The analysis is used to determine regions where certain reduced equations may be solved in place of the full equation. Parallelism is evident at two levels. Domain decomposition provides parallelism at the highest …
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