2017
DOI: 10.1109/lcsys.2017.2710118
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Sampled-Data Reduction of Nonlinear Input-Delayed Dynamics

Abstract: A reduction approach on the discrete-time equivalent model of a nonlinear input delayed system is proposed to design a sampled-data stabilizing feedback. Global asymptotic stability of the feedback system is so achieved by solving the problem over the reduction state. Stabilization of the reduced dynamics is obtained through Input-Lyapunov Matching. Connections with prediction-based methods are established. A simulated example illustrates the performances.

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Cited by 13 publications
(4 citation statements)
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“…Assuming the problem solvable in case of no delay, an IDA-PBC feedback has been constructed based on reduction. Future works concern the extension of this approach to nonlinear Hamiltonian systems, possibly, under sampling using the concepts introduced in [22], [23].…”
Section: Discussionmentioning
confidence: 99%
“…Assuming the problem solvable in case of no delay, an IDA-PBC feedback has been constructed based on reduction. Future works concern the extension of this approach to nonlinear Hamiltonian systems, possibly, under sampling using the concepts introduced in [22], [23].…”
Section: Discussionmentioning
confidence: 99%
“…As for future work, the authors will investigate the ability of conducting a digital control design instead of the classical emulation control for this application. Regarding the control theory, the work in [68,69] could help in analyzing the targeted problem. Acknowledgments: This search was conducted while the first author was studying her phd under the supervision of professor Salvator Monaco from Sapienza University of Rome.…”
Section: Discussionmentioning
confidence: 99%
“…4 • denotes the composition of operators and functions. posed in [21] while an alternative solution relying on the concept of reduction has been discussed in [22].…”
Section: Equivalent Sampled-data State Representationsmentioning
confidence: 99%
“…with suitably defined gain matrix |L δ (x)| < 1 is needed. The approximate feedback (22) achieves, at least locally, asymptotic stabilization of the equilibrium with improved robustness performances with respect to uncertainties on the delay length or discarded higher order components in the predictor dynamics. As a matter of fact, I&I introduces a feedback over the prediction error while prediction-based feedback usually work in open-loop (see [19] for a more complete discussion).…”
Section: Iandi Stabilization With Input Delaysmentioning
confidence: 99%