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Stabilization of linear systems with time‐varying input delay by event‐triggered delay independent truncated predictor feedback
Authors:Yijing Xie  Yusheng Wei  Zongli Lin
Abstract:This article deals with the problem of stabilization of linear systems with time‐varying input delay by an event‐triggered delay independent truncated predictor feedback law, either of the state feedback type or the output feedback type. Only the information of a delay bound rather than the delay itself is required in the design of both control laws and event‐triggering strategies. For both the state feedback case and the output feedback case, an admissible delay bound that guarantees the stabilizability of a general linear system is established, and the Zeno behavior is shown to be excluded. For linear systems with all open‐loop poles at the origin or in the open left‐half plane, stabilization can be achieved for a delay under an arbitrarily large bound.
Keywords:event‐triggered control  output feedback  sampled data control  time delay
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