Search for dissertations about: "Balanced truncation"

Showing result 1 - 5 of 15 swedish dissertations containing the words Balanced truncation.

  1. 1. Linear Time-Varying Systems: Modeling and Reduction

    Author : Henrik Sandberg; Anders Rantzer; Alexandre Megretski; Institutionen för reglerteknik; []
    Keywords : TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; linear time-varying; model reduction; balanced truncation; error bounds; power converters; harmonics; periodic modeling; inverter locomotive; linear time-varying; model reduction; balanced truncation; error bounds; power converters; periodic modeling; harmonics; inverter locomotive;

    Abstract : Linear time-invariant models are widely used in the control community. They often serve as approximations of nonlinear systems. For control purposes linear approximations are often good enough since feedback control systems are inherently robust to model errors. In this thesis some of the possibilities for linear time-varying modeling are studied. READ MORE

  2. 2. Analysis and control of transitional shear flows using global modes

    Author : Shervin Bagheri; Dan Henningson; Alessandro Bottaro; KTH; []
    Keywords : TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; Fluid mechanics; flow control; hydrodynamic stability; global modes; jet in crossflow; flat-plate boundary layer; laminar-turbulent transition; Arnoldi method; Koopman modes; balanced truncation; direct numerical simulations.; Fluid mechanics; Strömningsmekanik;

    Abstract : In this thesis direct numerical simulations are used to investigate two phenomenain shear flows: laminar-turbulent transition over a flat plate and periodicvortex shedding induced by a jet in cross flow. The emphasis is on understanding and controlling the flow dynamics using tools from dynamical systems and control theory. READ MORE

  3. 3. A Methodology for Efficient Conceptual Design Analysis of Nonlinear Dynamic Structural Systems

    Author : Niclas S Andersson; Chalmers tekniska högskola; []
    Keywords : TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; State-space models; Model order reduction; Conceptual design models; Flexible multibodies; Balanced truncation; Component Mode Synthesis; Nonlinear dynamics; Driveline systems;

    Abstract : There is a typical requirement conflict between fuel consumption and noise and vibrations in passenger cars. Obviously the combustion engine is a major source of vibration and has an influence on vehicle emissions. Similar properties apply to the power transferring mechanical driveline system. READ MORE

  4. 4. Valuing Path-Dependent Options using the Finite Element Method, Duality Techniques, and Model Reduction

    Author : Georgios Foufas; Göteborgs universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; finite element method; Galerkin; duality; a posteriori error estimation; adaptivity; option pricing; Greeks; Brownian motion; European option; barrier option; lookback option; Asian option; average option; POD; model reduction; balanced truncation; lookback option;

    Abstract : In this thesis we develop an adaptive finite element method for pricing of several path-dependent options including barrier options, lookback options, and Asian options. The options are priced using the Black-Scholes PDE-model, and the resulting PDE:s are of parabolic type in one spatial dimension with different boundary conditions and jump conditions at monitoring dates. READ MORE

  5. 5. Model Reduction for Linear Time-Varying Systems

    Author : Henrik Sandberg; Anders Rantzer; Sanjay Lall; Institutionen för reglerteknik; []
    Keywords : TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; Automation; robotics; control engineering; Performance limitations; Convergence analysis; Frequency-domain analysis; Error bounds; Time-varying systems; Model reduction; Linear systems; Automatiska system; robotteknik; reglerteknik; Model reduction;

    Abstract : The thesis treats model reduction for linear time-varying systems. Time-varying models appear in many fields, including power systems, chemical engineering, aeronautics, and computational science. They can also be used for approximation of time-invariant nonlinear models. Model reduction is a topic that deals with simplification of complex models. READ MORE