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Tuning of second-order sliding mode control (2-SMC) algorithms in linear systems with dynamic actuators is considered. By means of a describing function (DF) approach, it is investigated how the parameters of a 2-SMC algorithm (the so-called “generalized sub-optimal” algorithm) affect the frequency and the magnitude of the limit cycles that occur when the overall relative degree of the plant plus...
The solution of a tracking problem for a second-order nonlinear system with uncertain dynamics and incomplete state measurement is obtained by means of a procedure directly inspired by the solution of the classical minimum-time optimal control problem. Two different types of uncertainty are considered in the paper: in the first case a constant bound on the uncertain dynamics is assumed to be known;...
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