Abstract
This paper presents a new algorithm for a single-input single-output (SISO) system identification including non-zero initial states response in the time domain using impulse response. Eigensystem Realization Algorithm (ERA) realizes a SISO system with zero initial states, therefore we modify the method and first estimate system matrix and initial states using free decay response. In the process, system matrix is obtained by the singular value decomposition as same manner as ERA, and initial state values are refined by recursive least square iteration. Next, deducting initial states effect from the measured impulse response data, we reconstruct ideal impulse response, then identify the input and output matrices using another recursive least square iteration in the time domain analysis. Numerical simulations are performed to verify the new algorithm. Results of examples clarify the validity of the new identification scheme. Finally, we apply the new algorithm to an actual on-orbit data of Engineering Test Satellite-VIII (ETS-VIII) in orbital control mode (OCM), which was launched in December, 2006 and injected into geosynchronous orbit, for the system identification.
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