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Extention of Upper Bound Sampling Times for Discrete Implementation of a Continuous Controller

Pudji Astuti

Abstract. This note improves the sufficient conditions proposed by Astuti et. al. which guarantee the discrete implementation of a continuous controller remains resulting in the convergence of a nonlinear system. As in Astuti et. al. the proposed sufficient conditions can be used to determine an upper bound of sampling times resulting in the convergence of the closed loop sampled data control system. Further, the obtained upper bound of sampling time can be better than the upper bound obtained using the conditions in Astuti et. al. A simple example is given to demonstrate the result.

Keywords: nonlinear system with parameter uncertainties; sampled data control system; sampling time; globally uniformly exponentially convergence; globally asymptotically convergence

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