РОБАСТНА СТІЙКІСТЬ І СИНТЕЗ ДИСКРЕТНИХ СИСТЕМ КЕРУВАННЯ НЕЛІНІЙНИМИ ОБ’ЄКТАМИ
We obtain the sufficient verifiable conditions of the robust stability in a domain for nonlinear nonstationary discrete systems with uncertain set-valued parameters. This is done with the use of Lyapunov functions in the form of the norm of a state vector. For the class of strictly monotone nonlinea...
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| Date: | 2007 |
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| Main Author: | |
| Format: | Article |
| Language: | Ukrainian |
| Published: |
V.M. Glushkov Institute of Cybernetics of NAS of Ukraine
2007
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| Online Access: | https://jais.net.ua/index.php/files/article/view/323 |
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| Journal Title: | Problems of Control and Informatics |
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Problems of Control and Informatics| Summary: | We obtain the sufficient verifiable conditions of the robust stability in a domain for nonlinear nonstationary discrete systems with uncertain set-valued parameters. This is done with the use of Lyapunov functions in the form of the norm of a state vector. For the class of strictly monotone nonlinear functions, verification of these sufficient conditions requires solution of combinatorial problems in the state space. The obtained sufficient stability conditions are used for synthesis of stabilizing control systems for nonlinear plants. Since the stabilizing controls in a domain are solutions to the minimax problems, these controls provide the stability of the closed-loop systems in the given domain with arbitrary set-valued estimates for uncertain plant parameters. In this framework, one necessarily has to make a final check of the stability conditions in the given domain and with the given set-valued parameter estimates. |
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