An Interval Observer for Continuous-Time Persidskii Systems

Efimov, Denis; Polyakov, Andrey; Ping, Xubin

doi:10.1109/cdc51059.2022.9992747

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2024

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(2 citation statements)

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“…One deals with recurrent neural networks (RNNs) illustrating ability of (6) to evaluate accurately the bounding behavior of complex nonlinear systems, and another with a simple nonlinear mechanical dynamics showing efficiency of the control (9). In [29], the observer (6) was tested for a Lotka-Volterra model.…”

Section: Examplesmentioning

confidence: 99%

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Interval Observation and Control for Continuous-Time Persidskii Systems

Efimov,

Polyakov,

Ping

2024

IEEE Trans. Automat. Contr.

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The problems of interval estimation and stabilization are studied for a class of generalized Persidskii systems. For this class of models with nonlinearities satisfying the incremental passivity property, the nonnegativity conditions are proposed and a nonlinear interval observer is synthesized. A nonlinear feedback is designed that uses the interval estimates. The conditions of stability of estimation and regulation errors are formulated using linear matrix inequalities. The efficiency of the proposed interval observer and controller is demonstrated for a recurrent neural network and a mechanical system with cubic nonlinearity.

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Section: Examplesmentioning

confidence: 99%

“…With respect to its preliminary version [29], this work contains the proofs, more detailed explanations, different examples and the control design part.…”

Section: Introductionmentioning

confidence: 99%