Abstract
This paper addresses the problem of identifying the frequency response of a stable discrete-time system at a set of arbitrary frequencies. The output of the identifier may be used directly in control synthesis based on points of frequency response, or to give a frequency response estimate together with an H ∞ bounding function for robust control. Central to our idea is Lagrange interpolation. Conditions for exponential convergence of the parameter estimates are given in terms of energy of input signal. Simulations are presented to illustrate the analytical results.
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