Linear continuous time system responses
| Authors: | Hauksdottir Anna Soffia, University of Iceland, Iceland
Aevarsson Bergthor, University of Iceland, Iceland
Herjolfsson Gisli, University of Iceland, Iceland
Sigurdsson Sven Th., University of Iceland, Iceland |
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| Topic: | 1.1 Modelling, Identification & Signal Processing |
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| Session: | Identification of Continuous Time Systems |
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| Keywords: | Impulse response, partial fraction expansion, closed-form expression, higher-order response |
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Abstract
General closed-form expressions of linear continuous-time system responses, are derived. The system eigenvalues can be real and/or complex, and may be repeated. A recursive computationally attractive method is formulated by which the partial fraction expansion coefficients can be computed fast and accurately. The closed-form expressions include the numerator coefficients of the transfer function, a matrix containing the partial fraction expansion coefficients and the system's eigenvalues, and a vector containing the independent time-basis functions. Higher-order responses can easily be computed in closed form from the impulse response.
