Title: Global least squares solution for LTI system response
Authors: Rath, Gerhard
Harker, Matthew
Citation: 2017 International Conference on Applied Electronics: Pilsen, 5th – 6th September 2017, Czech Republic, p.175-178.
Issue Date: 2017
Publisher: Západočeská univerzita v Plzni
Document type: konferenční příspěvek
URI: http://hdl.handle.net/11025/35434
ISBN: 978–80–261–0641–8 (Print)
978–80–261–0642–5 (Online)
ISSN: 1803–7232 (Print)
1805–9597 (Online)
Keywords: matematický model;lineární systémy;MATLAB;pružiny;přenosové funkce;automatizace
Keywords in different language: mathematical model;linear systems;MATLAB;springs;transfer functions;automation
Abstract in different language: Linear time invariant (LTI) systems are the most important method to describe dynamic systems for the purpose of modeling, simulation and design of controllers. Dynamic systems are a process developing over time, hence the solution is an initial value problem (IVP). Solvers for ordinary differential equations (ODE) are commonly used for evaluation. A new idea is to solve such systems directly after discretization based on an least-squares problem with equality constraints (LSE). The approach is demonstrated on a simple system with four state variables and a rank-deficient system matrix. A comparison with standard ODE solution shows the correctness of the solution, advantages are discussed.
Rights: © Západočeská univerzita v Plzni
Appears in Collections:Applied Electronics 2017
Applied Electronics 2017

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