Abstract

This paper reports a series of real-time experiments for stabilization of a laser beam (LBS) employing a set of continuous-time sliding mode controllers. An asymptotic sliding mode controller, as a first strategy, is designed to maintain the laser light in a fixed position; the results of such experiment is detailed in a table where the mean square error shows performance of the algorithm. An integral term added in the control law design demonstrates an improvement in its performance. The well-known super-twisting algorithm, the second controller, is then designed and implemented in the laser beam stabilization experiment. In both cases, a Lyapunov analysis is developed to ensure convergence of the given algorithms, by a suitable selection of the parameters of the algorithms, such a systematic approach to tune the controllers for the laser stabilization ensures the reproducibility of the experiment once parameters in control laws are selected accordingly.

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