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The present investigation focuses on the output energy control of the nonlinear sine-Gordon model in a practical situation where only spatially sampled sensing and actuation are available. The speed-gradient method that has corroborated its utility for the sine-Gordon model, controlled through the manipulable parameters of the external field and boundary actuation, is now generalized to the spatially sampled sensing and actuation, aiming to pump/dissipate the energy of the model to a desired level. Luenberger-type observers are additionally developed in the present nonlinear PDE setting to be involved into the output feedback synthesis over collocated state (position and/or velocity) measurements. Capabilities of the proposed synthesis are illustrated in numerical simulations.
Original language | English |
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Article number | 8733021 |
Pages (from-to) | 1484-1498 |
Number of pages | 15 |
Journal | IEEE Transactions on Automatic Control |
Volume | 65 |
Issue number | 4 |
DOIs | |
State | Published - Apr 2020 |
ID: 75994970