Discrete-time dynamic output feedback input shaping control of vibration in uncertain time-delay flexible structures

This paper proposes an observer-based discrete-time neuro-sliding mode control (NSMC) scheme combined with input shaping control for uncertain time-delay flexible structures. Only partial information of system states is known. It is shown that the proposed scheme not only guarantees closed-loop system stability, but also it effectively suppresses residual vibration and yields good robustness in the presence of state delays, input delays, parameter uncertainties, external disturbances and inaccurate impulse application instants simultaneously. The knowledge of upper bound of uncertainties is not required. Furthermore, it is shown that increasing the robustness to parameter uncertainties does not lengthen the duration of the impulse sequence. Simulation results demonstrate the efficacy of the proposed control scheme.