Evaluation of the weighted level of attenuation of external and initial disturbances in nonlinear systems
UDC 517.925.51; 681.5.03 We investigate the classes of nonlinear dynamical systems with bounded disturbances and functional uncertainties. Further, we develop the methods aimed at the evaluation of the generalized performance criterion for these systems, which characterizes the weighted levels of da...
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| Date: | 2024 |
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| Main Authors: | , , |
| Format: | Article |
| Language: | Ukrainian |
| Published: |
Institute of Mathematics, NAS of Ukraine
2024
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/8210 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| Summary: | UDC 517.925.51; 681.5.03
We investigate the classes of nonlinear dynamical systems with bounded disturbances and functional uncertainties. Further, we develop the methods aimed at the evaluation of the generalized performance criterion for these systems, which characterizes the weighted levels of damping of external disturbances and the initial disturbances caused by an unknown initial vector. It is proposed to apply these methods in solving the generalized $H_\infty$-control problem for the analyzed classes of systems. An illustrative example of a pseudolinear control system with disturbance is presented. |
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| DOI: | 10.3842/umzh.v76i8.8210 |