Abstract
Existence of saturation-induced limit cycles is studied for observer-based state feedback control systems. Two different observer based controller implementations are considered, one using the computed control signal for state estimation and the other using the control signal actually applied to the plant. Based on piecewise affine system descriptions, analytical tools to conclude about limit cycles and exponential closed loop stability are provided for both implementations. The condition for limit cycles is found to involve the yet unsolved problem of spectral radius characterization of the product of two matrix exponentials.
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