Abstract
State-space identification of switching linear discrete time-periodic systems with known scheduling signals
Highlights
This paper focuses on frequency-domain state-space identification of “hybrid” linear discrete-time periodic (LDTP) systems
The class of linear discrete time-periodic (LDTP) systems we are interested in here includes a finite number of switching subsystems that are alternated based on a periodic scheduling signal
We propose a new state-space identification method for LDTP systems with known scheduling signals
Summary
This paper focuses on frequency-domain state-space identification of “hybrid” linear discrete-time periodic (LDTP) systems. L=−N /2 l=−N /2 where Xn and Un are discrete Fourier series coefficients for the time-periodic state and input signals, xk and uk , respectively. Remark 2 Different than continuous-time LTP system identification methods (as in [4]), the Fourier series coefficients of the linear discrete time-periodic (LDTP) systems are finite. We assume that the internal switching subsystems are respectively smooth time-periodic functions and the number of unknown Fourier series coefficients is limited. Note that this assumption does not limit the number of harmonics N that can be observed in the resulting switching system ( Ak , Bk ) due to the rectangular wave-type scheduling signals. The estimated discrete-time LTP system can be transformed back to the continuous-time version via inverse bilinear (Tustin) transformation
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