Output control approach “consecutive compensator” providing exponential and L∞-stability for nonlinear systems with delay and disturbance

This paper deals with the output stabilization of time-delay systems with sector-bounded nonlinearity and disturbance. In this paper we will consider the problem of absolute stability for a class of time-delay systems which can be represented as a feedback connection of a linear dynamical system with unknown parameters and a uncertain nonlinearity satisfying a sector constraint. For a class of output control algorithms a controller providing exponential stability of equilibrium position without disturbance and L∞-stability for disturbed systems is proposed.

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