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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 15 of 15 for “"Second-order Systems"”.
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A Study of Nonlinear Second Order Systems
Made available in DSpace on 2014-12-08T22:23:38Z (GMT). No. of bitstreams: 1 6503163.pdf: 2387518 bytes, checksum: 3006167b5d0b4475ec953e96f73d1750 (MD5) Previous issue date: 1964
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A Variation of the Carleman Embedding Method for Second Order Systems.
… technique works well when dealing with first-order nonlinear differential equations. However, for higher order nonlinear ordinary differential equations, it is difficult to use the Carleman Embedding method. This project will examine the Carleman Embedding and a variation of the method which …
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Issues in Interpolatory Model Reduction: Inexact Solves, Second-order Systems and DAEs
Dynamical systems are mathematical models characterized by a set of differential or difference equations. Model reduction aims to replace the original system with a reduced system of significantly smaller dimension that still describes the important dynamics of the large-scale model. Interpolatory …
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Closed-form Solutions to Robust and Optimal Control Problems of Second-Order Systems
… framework for the optimal and robust control of second-order dynamical systems. Traditional numerical approaches to solving continuous-time algebraic Riccati equations (CAREs), computing coprime factorizations, and synthesizing robust controllers often lose physical insight and become …
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Educational hardware for feedback systems
… explores a variety of educational feedback systems with an emphasis on developing them for in-class demonstrations and in-depth student projects. The nature of feedback systems means there is never a shortage of demonstrations or assignments that can truly capture the students' imagination …
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Monolithic and partitioned Rosenbrock-based time integration methods for dynamic substructure tests
… both substructures interact in real-time, in order to simulate the behaviour of the emulated structure. This has special demands on the utilized integration methods and their implementations. Researchers have devoted significant effort to implement second-order integrators, such as Newmark …
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AN FFT SPECTRAL ANALYSIS FOR SYSTEM IDENTIFICATION
With the advent of, larger am more complex systems being used in industry the requirement for more accurate estimates of the system operating parameters becomes greater. One method of obtaining these operating parameters is by the use of the information contained in the spectral density functions …
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A geometric analysis of model reduction of linear systems
… selection of reducing subspaces, useful lower-order system models can be achieved. The reducing subspaces can be chosen as parts of a system which are "most" and "least" controllable or observable; retaining, of course, the most controllable/observable subspace for model reduction. We review …
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Control of Piecewise Smooth Systems: Generalized Absolute Stability and Applications to Supercavitating Vehicles
Many systems in engineering applications are modeled as piecewise smooth systems. The piecewise smoothness presents great challenges for stability analysis and control synthesis for these systems. Over the years, the theory of absolute stability has been one of the few tools developed by control …
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Attitude control on manifolds via optimization and contractions with automatic gain tuning
… hardware implementation even on fast dynamical systems. Furthermore, we aim to obtain an automatic tuning procedure that ensures convergence, and can also quantify and optimize performance guarantees. We achieve our goal through four major contributions. The first is a substantial generalization …
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Optimization based control design techniques for distributed parameter systems
… based control design techniques for the systems that are governed by partial differential equations. A control technique is developed for systems that are actuated at the boundary. The principles of dynamic inversion and constrained optimization theory are used to formulate a feedback …
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Applications of differential geometry to high spin field theories
… constraint algorithms are reviewed for general second order systems. These two algorithms are then respectively employed to analyse the constraint structure of the massive spin-1 Proca field from the Lagrangian and Hamiltonian viewpoints. As an example of a coupled field theoretic system the …
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Optimal actuation in active vibration control using pole-placement
… actuators and lowest control input. Mechanical systems were approximated by discrete masses connected with springs and dampers. Both numerical and analytical methods were used to determine the optimum force selection vector, or input vector, to accomplish the pole placement, finding the optimal …
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Dimension Reduction in Structured Dynamical Systems: Optimal-𝓗<sub>2</sub> Approximation, Data-Driven Balancing, and Real-Time Monitoring
… a variety of problems pertaining to the model-order reduction, data-driven reduced-order modeling, and real-time monitoring of large-scale and structured dynamical systems. In the first part, balancing-based methods for system-theoretic model reduction of linear time-invariant systems are …
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System simulation using digital stochastic computing structures.
… equation, examining the transient behaviour of a second order stochastic system and sine/cosine generation. The second order system highlighted a problem which was not taken into account in the original definition of stochastic computation. Simple mathematical models are used to explain the …