Abstract
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.
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This paper was supported by National Natural Science Foundation of China under Grant No. 11271339 and New Century Excellent Talents Program under Grant No. 10-0141.
This paper was recommended for publication by Editor ZHANG Jifeng.
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Ren, J., Cheng, Z. & Guo, L. Further results on limitations of sampled-data feedback. J Syst Sci Complex 27, 817–835 (2014). https://doi.org/10.1007/s11424-014-2184-z
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DOI: https://doi.org/10.1007/s11424-014-2184-z