This paper investigates the robust/non-fragile control problem is studied for non-uniform sampled-data system under the scheduling of the try-once-discard (TOD) protocol. The uncertainties of the system and the fragility of the controller are considered. Both of them are assumed to be norm-bounded. To reduce communication load and prevent network congestion, the TOD protocol is applied to manage the data transmissions. We aim to develop a criterion such that the considered non-uniform sampling system with an exponential gain is exponentially stable for all possible system uncertainties. The desired criterion is derived via the Lyapunov theory and the Halanay-like inequality. Finally, a numerical example is presented.

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Robust and Non-fragile Control for Non-uniform Sampled-Data Systems Under Try-Once-Discard Protocol

  • Jiyuan Zhang,
  • Shipei Cai,
  • Jinling Liang

摘要

This paper investigates the robust/non-fragile control problem is studied for non-uniform sampled-data system under the scheduling of the try-once-discard (TOD) protocol. The uncertainties of the system and the fragility of the controller are considered. Both of them are assumed to be norm-bounded. To reduce communication load and prevent network congestion, the TOD protocol is applied to manage the data transmissions. We aim to develop a criterion such that the considered non-uniform sampling system with an exponential gain is exponentially stable for all possible system uncertainties. The desired criterion is derived via the Lyapunov theory and the Halanay-like inequality. Finally, a numerical example is presented.