Weighted estimation of damping of the limited perturbations in descriptive discrete control systems
We establish necessary and sufficient conditions of the upper bounds for the performance criteria of linear discrete-time descriptor systems characterizing the weighted damping level of external and initial disturbances.These conditions require to solve linear matrix equations (LMI).The technique of...
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| Date: | 2020 |
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| Keywords: | keywords |
| Main Authors: | , , |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Інститут математики НАН України
2020
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| Online Access: | https://trim.imath.kiev.ua/index.php/trim/article/view/397 |
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| Journal Title: | Transactions of Institute of Mathematics of NAS of Ukraine |
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Transactions of Institute of Mathematics of NAS of Ukraine| Summary: | We establish necessary and sufficient conditions of the upper bounds for the performance criteria of linear discrete-time descriptor systems characterizing the weighted damping level of external and initial disturbances.These conditions require to solve linear matrix equations (LMI).The technique of the generalized $H_\infty$-optimization of the descriptor systems with controlled and observed outputs as well as a method for finding the worst vectors of the external and initial perturbations with respect to the weighted quality criterion are proposed.An illustrative example of a discrete-time descriptor control system with perturbations is given. |
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