TY - GEN
T1 - Eigenvalue structure of the predictor feedback for discrete-time LTI systems
AU - Mateo, Lorlynn Asuncion
AU - Hirata, Kentaro
N1 - Publisher Copyright:
© 2014 IEEE.
PY - 2014/9/9
Y1 - 2014/9/9
N2 - The discrete-time predictor feedback system was designed to compensate for constant input delays based on d-step ahead state predictions in discrete-time linear time-invariant systems. The entire spectrum, initially investigated by numerical computation, shows that aside from the eigenvalues of A + BK, there are other eigenvalues located about the origin. Existing literature only focuses on the spectrum coinciding with that of A + BK, but, in this study, we extended previous results by considering the full state of the system to obtain the eigenvalues mathematically. In contrast to the continuous-time case, it is important to note that the discrete-time delay system is finite-dimensional. From this viewpoint, we started our analysis from the state space representation to construct a proof that derives the poles of the closed-loop system. Furthermore, as a preliminary step, we attempt a frequency domain analysis by considering nonzero initial conditions in taking the Z-transform of the system with an example.
AB - The discrete-time predictor feedback system was designed to compensate for constant input delays based on d-step ahead state predictions in discrete-time linear time-invariant systems. The entire spectrum, initially investigated by numerical computation, shows that aside from the eigenvalues of A + BK, there are other eigenvalues located about the origin. Existing literature only focuses on the spectrum coinciding with that of A + BK, but, in this study, we extended previous results by considering the full state of the system to obtain the eigenvalues mathematically. In contrast to the continuous-time case, it is important to note that the discrete-time delay system is finite-dimensional. From this viewpoint, we started our analysis from the state space representation to construct a proof that derives the poles of the closed-loop system. Furthermore, as a preliminary step, we attempt a frequency domain analysis by considering nonzero initial conditions in taking the Z-transform of the system with an example.
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U2 - 10.1109/ICIT.2014.6894974
DO - 10.1109/ICIT.2014.6894974
M3 - Conference contribution
AN - SCOPUS:84907749896
T3 - Proceedings of the IEEE International Conference on Industrial Technology
SP - 67
EP - 72
BT - Proceedings of the IEEE International Conference on Industrial Technology
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2014 IEEE International Conference on Industrial Technology, ICIT 2014
Y2 - 26 February 2014 through 1 March 2014
ER -