Subspace Identification of Linear Time-Periodic Systems with Periodic Inputs
Abstract
This paper proposes a new methodology for subspace identification of linear time-periodic (LTP) systems with periodic inputs. This method overcomes the issues related to the computation of frequency response of LTP systems by utilizing the frequency response of the time-lifted system with linear time-invariant structure instead. The response is estimated with an ensemble of input-output data with periodic inputs. This allows the frequency-domain subspace identification technique to be extended to LTP systems. The time-aliased periodic impulse response can then be estimated and the order-revealing decomposition of the block-Hankel matrix is formulated. The consistency of the proposed method is proved under mild noise assumptions. Numerical simulation shows that the proposed method performs better than multiple widely-used time-domain subspace identification methods when an ensemble of periodic data is available.
- Publication:
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arXiv e-prints
- Pub Date:
- June 2020
- DOI:
- 10.48550/arXiv.2006.03838
- arXiv:
- arXiv:2006.03838
- Bibcode:
- 2020arXiv200603838Y
- Keywords:
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- Electrical Engineering and Systems Science - Systems and Control
- E-Print:
- IEEE Control Systems Letters, vol. 5, no. 1, pp. 145-150, Jan. 2021