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Summary: We consider a global regulation problem for a chain of integrators with an unknown time‐varying input delay by event‐triggered output feedback control. We show that the considered system is globally regulated by the proposed event‐triggered output feedback controller with a dynamic gain‐scaling factor. Moreover, we show that interexecution times are lower bounded and these lower bounds can be increased with our control method. An example is given for clear illustration. [ABSTRACT FROM AUTHOR]

In this note, we consider a stabilization problem of a chain of integrators with an unknown delay in the input. We propose an adaptive output feedback control scheme in which the delay-related low-gain parameter is tuned online by utilizing the integral value of the input norm-bound. Thus, a prior/knowledge on the delay is not required for controller design. Index Terms--Adaptive output feedback, chain of integrators, time-delay systems, unknown delay.

In this paper, the global regulation problem is considered for a class of high-order nonlinear systems with unknown time-varying delays. More specifically, the considered systems consist of a chain of power integrators with high-order nonlinearity and there are unknown input and state delays. From the system structural point of view, the high-order feedforward nonlinearity is further extended to include non-feedforward terms. In our controller design, our controller is a memoryless one which does not use any past input values such that any a priori information on time-varying delays is not needed. The global regulation of the controlled system is analyzed by using the Razumikhin theorem and adding a power integrator method. [ABSTRACT FROM AUTHOR]