Abstract
The problem of the robust continuous-time asymptotic tracking and disturbance rejection for a multivariable sampled-data system is studied, for the case when the available description of the continuous-time plant has a known dependence on some “physical” parameters and possibly only some of the scalar outputs must track corresponding reference signals. The necessary and sufficient conditions for the existence of a hybrid control system for which exponential stability with a prescribed rate of convergence and a continuous-time convergence to zero of the tracking error are guaranteed at least in a neighbourhood of the nominal parameters, and, possibly, the convergence is dead-beat at the nominal ones, are reported, together with the necessity of a wholly continuous-time internal model of the exogenous signals.
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Grasselli, O.M., Menini, L., Valigi, P. (1999). Robust ripple-free output regulation and tracking under structured or unstructured parameter uncertainties. In: Garulli, A., Tesi, A. (eds) Robustness in identification and control. Lecture Notes in Control and Information Sciences, vol 245. Springer, London. https://doi.org/10.1007/BFb0109885
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DOI: https://doi.org/10.1007/BFb0109885
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