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Sliding-mode control design for a class of systems with non-matching nonlinearities and disturbances. (English) Zbl 1056.93008

The author considers a class of single-input nonlinear systems with non-matching nonlinearities in the presence of disturbances. Under certain assumptions, a sliding-mode control design procedure is proposed. This procedure yields a sliding manifold that ensures asymptotic stability of the system when the disturbances satisfy the matching condition or are zero. Otherwise, it ensures only that the system is small-signal \(L_\infty\) input-output stable, as the effects of the disturbances can be limited but not eliminated. The author presents some simulation results for an oscillating eccentric rotor system that models the dynamics both of an idealized unbalanced dual-spin spacecraft and of a rotational proof mass actuator.

MSC:

93B12 Variable structure systems
93C73 Perturbations in control/observation systems
93D25 Input-output approaches in control theory
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