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In this paper mechanical systems of relative degree two, i.e. a perturbed double integrator is under study. A sliding mode based algorithm is under study using strict non smooth Lyapunov functions, such that compensation of growing perturbations together with state variables is shown. Indeed, the well known twisting algorithm and a generalized smooth family of this algorithm are considered. A strict...
The problems of the discrete fuzzy controller design for the ship motion system and the stability analysis for the closed-loop discrete fuzzy system are studied. Firstly, a discrete T-S fuzzy model of the ship motion system is established; then, by using the method of parallel distributed compensation, a new sufficient condition to check the stability of the closed-loop discrete T-S fuzzy system is...
In this paper, by employing the new characterization of control Lyapunov function, an inverse optimal controller is designed for the nonlinear system. The controller guarantee robustness against some input dynamic uncertainties and in the cost functional, the penalty on the control is not always quadratic. It is shown that the Lyapunov function guaranteeing closed-loop stability is a solution to the...
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