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Recently the authors have shown that the general design ideas for robust controllers that are suitable for stable systems with step reference and disturbance signals are valid for more general classes of signals: in [1] for linear combinations of sinusoids and in [2] for linear combinations of sinusoids and polynomials and their products. The analysis in [1] is for parabolic systems in the time domain...
In this paper, we consider the problem of designing a robust controller for an unknown, infinite-dimensional, exponentially stable, linear time-invariant plant. The controller should be able to asymptotically track and reject reference and disturbance signals which are finite linear combinations of constants and sinusoids of known frequencies, in such a way that the plant and controller states remain...
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