Improved computation in terms of accuracy and speed of LTI system response with arbitrary input
| Autor: | Anders Brandt, Marc Böswald, G. Jelicic |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
0209 industrial biotechnology
Computer science Computation Aerospace Engineering 02 engineering and technology 01 natural sciences LTI system theory 020901 industrial engineering & automation LTI systems 0103 physical sciences Differential (infinitesimal) 010301 acoustics Higher order hold Civil and Structural Engineering Mechanical Engineering System identification Fast simulation Order (ring theory) random input Extension (predicate logic) Computer Science Applications Exponential function LTI system>s> Control and Systems Engineering Ordinary differential equation Signal Processing fast simulation higher order hold Random input Algorithm |
| Zdroj: | Jelicic, G, Böswald, M & Brandt, A 2021, ' Improved computation in terms of accuracy and speed of LTI system response with arbitrary input ', Mechanical Systems and Signal Processing, vol. 150, 107252 . https://doi.org/10.1016/j.ymssp.2020.107252 |
| DOI: | 10.1016/j.ymssp.2020.107252 |
| Popis: | Spectral analysis and system identification techniques require suitably long data sets. Linear time-invariant (LTI) systems under random input can be demanding in terms of accurate simulation of all dynamics because of calculation time. This paper details an extension of the state-space formulation of LTI systems for higher order holds, for periodic and for exponential inputs. Exact solutions of the differential state equation are implemented into loops computing only matrix-vector multiplications. The algorithmic complexity is compared to other ordinary differential equations solvers. The presented methods can be applied to arbitrary inputs. In particular, it is shown that long system responses under random input can be computed efficiently and accurately in the time and frequency domains. Spectral analysis and system identification techniques require suitably long data sets. Linear time-invariant (LTI) systems under random input can be demanding in terms of accurate simulation of all dynamics because of calculation time. This paper details an extension of the state-space formulation of LTI systems for higher order holds, for periodic and for exponential inputs. Exact solutions of the differential state equation are implemented into loops computing only matrix-vector multiplications. The algorithmic complexity is compared to other ordinary differential equations solvers. The presented methods can be applied to arbitrary inputs. In particular, it is shown that long system responses under random input can be computed efficiently and accurately in the time and frequency domains. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|