Impulse Controllability for Singular Hybrid Coupled Systems
This study examines the concept of impulse controllability within singular hybrid coupled systems through the utilisation of decentralised proportional plus derivative (P-D) output feedback. By employing the Differential Mean Value Theorem, the nonlinear model can be converted into a linear paramete...
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MDPI AG
2024-10-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/14/21/9773 |
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| author | Jian Li Xuefeng Zhang Xiong Jiang |
| author_facet | Jian Li Xuefeng Zhang Xiong Jiang |
| author_sort | Jian Li |
| collection | DOAJ |
| description | This study examines the concept of impulse controllability within singular hybrid coupled systems through the utilisation of decentralised proportional plus derivative (P-D) output feedback. By employing the Differential Mean Value Theorem, the nonlinear model can be converted into a linear parameter-varying large-scale system. Our analysis leads to the establishment of algebraic conditions that are both necessary and sufficient for the existence of a decentralised P-D output feedback controller that can guarantee impulse controllability in these complex systems. Moreover, we address the issue of admissibility within these systems by employing matrix trace inequalities. We present a novel sufficient condition for impulse controllability, which offers a new perspective on addressing this challenging problem. To validate our findings, we present numerical examples that demonstrate the effectiveness of the proposed methodologies in practice. |
| format | Article |
| id | doaj-art-1fe80a92ba0b477787766d2c9818e6d5 |
| institution | Kabale University |
| issn | 2076-3417 |
| language | English |
| publishDate | 2024-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj-art-1fe80a92ba0b477787766d2c9818e6d52024-11-08T14:33:19ZengMDPI AGApplied Sciences2076-34172024-10-011421977310.3390/app14219773Impulse Controllability for Singular Hybrid Coupled SystemsJian Li0Xuefeng Zhang1Xiong Jiang2Basic Courses Department, Liaoning Institute of Science and Technology, Benxi 117004, ChinaSchool of Sciences, Northeastern University, Shenyang 110819, ChinaBasic Courses Department, Liaoning Institute of Science and Technology, Benxi 117004, ChinaThis study examines the concept of impulse controllability within singular hybrid coupled systems through the utilisation of decentralised proportional plus derivative (P-D) output feedback. By employing the Differential Mean Value Theorem, the nonlinear model can be converted into a linear parameter-varying large-scale system. Our analysis leads to the establishment of algebraic conditions that are both necessary and sufficient for the existence of a decentralised P-D output feedback controller that can guarantee impulse controllability in these complex systems. Moreover, we address the issue of admissibility within these systems by employing matrix trace inequalities. We present a novel sufficient condition for impulse controllability, which offers a new perspective on addressing this challenging problem. To validate our findings, we present numerical examples that demonstrate the effectiveness of the proposed methodologies in practice.https://www.mdpi.com/2076-3417/14/21/9773singular hybrid coupled systemsnonlinear singular large-scale systemsimpulse controllabilityadmissibilitydecentralised proportional plus derivative output feedback controller |
| spellingShingle | Jian Li Xuefeng Zhang Xiong Jiang Impulse Controllability for Singular Hybrid Coupled Systems Applied Sciences singular hybrid coupled systems nonlinear singular large-scale systems impulse controllability admissibility decentralised proportional plus derivative output feedback controller |
| title | Impulse Controllability for Singular Hybrid Coupled Systems |
| title_full | Impulse Controllability for Singular Hybrid Coupled Systems |
| title_fullStr | Impulse Controllability for Singular Hybrid Coupled Systems |
| title_full_unstemmed | Impulse Controllability for Singular Hybrid Coupled Systems |
| title_short | Impulse Controllability for Singular Hybrid Coupled Systems |
| title_sort | impulse controllability for singular hybrid coupled systems |
| topic | singular hybrid coupled systems nonlinear singular large-scale systems impulse controllability admissibility decentralised proportional plus derivative output feedback controller |
| url | https://www.mdpi.com/2076-3417/14/21/9773 |
| work_keys_str_mv | AT jianli impulsecontrollabilityforsingularhybridcoupledsystems AT xuefengzhang impulsecontrollabilityforsingularhybridcoupledsystems AT xiongjiang impulsecontrollabilityforsingularhybridcoupledsystems |