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Adaptive control for time-delay non-linear systems with non-symmetric input non-linearity

This paper proposes an adaptive control strategy for stabilisation of a class of time-delay systems with both non-linear delayed perturbations and non-symmetric dead-zone and saturating input. The non-linear delayed perturbations are bounded by unrestrained non-linear functions. Based on adaptive and backstepping techniques, the memoryless controller is proposed without knowing the bounds of perturbations, which can guarantee that the closed-loop system state globally converges to zero. Moreover, it removes the assumptions imposed previously that the characteristic parameters are assumed to be known in advance. The results are proved by Lyapunov theorem. Finally, an example is illustrated to show the effectiveness of the proposed control scheme.