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We solve stabilization problems of LTI systems with unknown parameters and distributed input delay. The key challenge is that the infinite-dimensional input dynamics are distributed, which makes traditional infinite-dimensional backstepping inapplicable. We resolve this challenge by employing backstepping-forwarding transformations of the finite-dimensional state of the plant and of the infinite-dimensional...
For multi-input, linear time-invariant systems with distributed input delays, Artstein's reduction method provides a predictor-based controller. In this paper, we construct a Lyapunov functional for the resulting closed-loop system and establish exponential stability. The key element in our work is the introduction of an infinite-dimensional forwarding-backstepping transformation of the infinite-dimensional...
Predictor techniques are an indispensable part of the control design toolbox for plants with input and state delays of significant size. Yet, they suffer from sensitivity to the design values. Explicit feedback laws were recently introduced by Jankovic for a class of feedforward linear systems with simultaneous state and input delays. For the case where the delays are of unknown length, using the...
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