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The chattering phenomenon in variable structure control (VSC) is always given to attention long time. This paper proposes a novel type of control strategy combining the fractional calculus with second-order sliding mode control called second-order fractional variable structure control for a class of nonlinear systems. A novel adaptation law is assigned for reaching the controller part of the sliding...
This paper presents a polynomial chaos-based framework for designing optimal linear feedback control laws for nonlinear systems with stochastic parametric uncertainty. The spectral decomposition of the original stochastic dynamical model in an orthogonal polynomial basis, prescribed by the Wiener–Askey scheme, provides a deterministic model from which the optimal linear control law is designed. Optimality...
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