Abstract
In this paper, a new adaptive identification method of a frequency response G(jω) that satisfies a phase condition LG(jω) = θ,θ ∊ [–π, –π/2) is proposed. It corresponds to the critical point of a feedback system composed of the plant G(s), a saturation nonlinearity, and a first-order lag element k/(1 + sT) where k is tuned so that a sinusoidal oscillation can continue and T is tuned so that the phase condition can be met at the oscillation frequency. The frequency response is given by G(jω) = – (1 + jωT)/k from the convergent values. In the tuning algorithm, a globally convergent frequency estimator is used for estimating the amplitude and the frequency of the oscillation.
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