| 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 conferenceObject |
| 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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