This paper presents a solution to the state-space system identification problem from discrete-time data without a hold device on the input. We consider the case where the inter-sampled input is approximated by 4-point Lagrange interpolation. The resultant discrete-time state-space model becomes non-standard and non-causal, but a mathematically equivalent discrete-time model is found so that standard system identification can be adapted to identify it. From the identified equivalent model, a continuous-time state-space model of the system is recovered. Results for the special case of 2-point linear interpolation are also provided.
State-Space System Identification Without a Hold Device by Lagrange Interpolation
J Astronaut Sci
The Journal of the Astronautical Sciences ; 67 , 2 ; 794-813
2020-06-01
20 pages
Article (Journal)
Electronic Resource
English
State-space system identification , Lagrange interpolation , OKID , Interaction matrix , Discreteto-continuous time conversion Engineering , Aerospace Technology and Astronautics , Mathematical Applications in the Physical Sciences , Space Sciences (including Extraterrestrial Physics, Space Exploration and Astronautics)
State-Space System Identification Without a Hold Device by Lagrange Interpolation
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