Optimal reset law design based on guaranteed cost control method for Lipschitz nonlinear systems
This article proposes a systematic approach for optimal reset law design of a class of nonlinear systems. By using the guaranteed cost control method, sufficient conditions for the design of optimal reset law are derived in terms of linear matrix inequalities. In an offline design procedure, the res...
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| Veröffentlicht in: | International journal of robust and nonlinear control 2022-05, Vol.32 (8), p.4739-4751 |
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| container_end_page | 4751 |
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| container_issue | 8 |
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| container_title | International journal of robust and nonlinear control |
| container_volume | 32 |
| creator | Shahbazzadeh, Majid Sadati, Seyed Jalil HosseinNia, S. Hassan |
| description | This article proposes a systematic approach for optimal reset law design of a class of nonlinear systems. By using the guaranteed cost control method, sufficient conditions for the design of optimal reset law are derived in terms of linear matrix inequalities. In an offline design procedure, the reset law is computed that minimizes the upper bound of a quadratic cost function. The proposed method can be implemented for real‐time applications even with small sampling time. The simulation results verify the efficacy and effectiveness of the proposed theoretical results. |
| doi_str_mv | 10.1002/rnc.6057 |
| format | Article |
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| ispartof | International journal of robust and nonlinear control, 2022-05, Vol.32 (8), p.4739-4751 |
| issn | 1049-8923 1099-1239 |
| language | eng |
| recordid | cdi_proquest_journals_2651639124 |
| source | Wiley Online Library All Journals |
| subjects | Control methods Control systems Cost function guaranteed cost control Linear matrix inequalities Lipschitz nonlinearity Mathematical analysis Nonlinear systems reset control systems reset law Upper bounds |
| title | Optimal reset law design based on guaranteed cost control method for Lipschitz nonlinear systems |
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