M. Phan et al., SYSTEM-IDENTIFICATION FROM CLOSED-LOOP DATA WITH KNOWN OUTPUT-FEEDBACK DYNAMICS, Journal of guidance, control, and dynamics, 17(4), 1994, pp. 661-669
This paper formulates a method to identify the open-loop dynamics of a
system operating under closed-loop conditions. The closed-loop excita
tion data and the feedback dynamics are assumed to be known. Two close
d-loop configurations are considered where the system has either a lin
ear output feedback controller or a dynamic output feedback controller
. First, the closed-loop excitation data are used to compute the close
d-loop Markov parameters, from which the open-loop Markov parameters a
re recovered from the known feedback dynamics. The Markov parameters a
re then used to compute a state space representation of the open-loop
system. Examples are provided to illustrate the computational steps in
volved in the proposed closed-loop identification method.