Abstract
A class of output feedback stabilizable nonlinear systems with known output dependent nonlinearities and affected by unknown sinusoidal disturbances along with an unmodelled noise is considered: non-minimum phase systems are also allowed. The problem of designing a global output feedback compensator which drives the state of the system exponentially to zero is solved when the disturbance consists of a known number of biased sinusoids with any unknown bias, magnitudes, phases, and frequencies and no unmodelled noise. The robustness with respect to the unmodelled noise is established and characterized.
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