Robust H∞ control for fractional order singular systems 0 < α < 1 with uncertainty
This article studies robust H∞$$ {H}_{\infty } $$ control for fractional order singular systems (FOSS) 0<α<1$$ 0<\alpha <1 $$ with uncertainty. First, the condition based on the linear matrix inequality (LMI) is obtained for fractional order systems with 0<α<1$$ 0<\alpha <1 $...
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| Published in: | Optimal control applications & methods Vol. 44; no. 1; pp. 332 - 348 |
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| Main Authors: | , |
| Format: | Journal Article |
| Language: | English |
| Published: |
Glasgow
Wiley Subscription Services, Inc
01.01.2023
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| Subjects: | |
| ISSN: | 0143-2087, 1099-1514 |
| Online Access: | Get full text |
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| Summary: | This article studies robust H∞$$ {H}_{\infty } $$ control for fractional order singular systems (FOSS) 0<α<1$$ 0<\alpha <1 $$ with uncertainty. First, the condition based on the linear matrix inequality (LMI) is obtained for fractional order systems with 0<α<1$$ 0<\alpha <1 $$ in Corollary 1. Compared with existing results, by using two matrices to replace the complex matrix, the condition is easier to solve. Based on Corollary 1, the condition of H∞$$ {H}_{\infty } $$ control based on non‐strict LMI for FOSS without uncertainty is proposed. The strict LMI‐based conditions of H∞$$ {H}_{\infty } $$ control are improved to overcome the equality constraints. Finally, the LMI‐based conditions of robust H∞$$ {H}_{\infty } $$ control are proposed for FOSS. Four examples are shown to illustrate the effectiveness of the method. |
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| Bibliography: | Funding information National Key R&D Program of China, Grant/Award Number: 2018YFB1304905; National Natural Science Foundation of China, Grant/Award Numbers: U1813210; 62027812 ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 |
| ISSN: | 0143-2087 1099-1514 |
| DOI: | 10.1002/oca.2939 |