Further results on limitations of sampled-data feedback

To control continuous-time uncertain dynamical systems with sampled data-feedback is prevalent today, but the sampling rate is usually not allowed to be arbitrarily fast due to various physical and/or computational constrains. In this paper, the authors examine the limitations of sampled-data feedback control for a class of uncertain systems in continuous-time, with sampling rate not necessary fast enough and with the unknown system structure confined to a set of functions with both linear and nonlinear growth. The limitations of the sampled-data feedback control for the uncertain systems are established quantitatively, which extends the existing related results in the literature.