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- Publisher Website: 10.1016/j.amc.2024.128924
- Scopus: eid_2-s2.0-85198014082
- WOS: WOS:001267285900001
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Article: A Gramian matrix approach to synthesizing finite-frequency H2 controller
| Title | A Gramian matrix approach to synthesizing finite-frequency H2 controller |
|---|---|
| Authors | |
| Keywords | Continuous-time system Finite-frequency Gramian matrix H2 control |
| Issue Date | 15-Nov-2024 |
| Publisher | Elsevier |
| Citation | Applied Mathematics and Computation, 2024, v. 481 How to Cite? |
| Abstract | This paper studies the H2 control problem for linear continuous-time systems over a finite-frequency range. Using the finite-frequency Gramian matrix approach, a necessary and sufficient condition is obtained for the characterization of the finite-frequency H2 performance of a Hurwitz stability system. With such a characterization, a sufficient condition for the solvability of the finite-frequency H2 control problem is derived. An iterative algorithm is then constructed to solve the corresponding controller gain numerically. Finally, a numerical example of a two-cart-one-spring system is given to illustrate the effectiveness of the proposed scheme |
| Persistent Identifier | http://hdl.handle.net/10722/350207 |
| ISSN | 2023 Impact Factor: 3.5 2023 SCImago Journal Rankings: 1.026 |
| ISI Accession Number ID |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Quan, Hongzheng | - |
| dc.contributor.author | Lu, Xiujuan | - |
| dc.contributor.author | Cai, Chenxiao | - |
| dc.contributor.author | Zou, Yun | - |
| dc.contributor.author | Lam, James | - |
| dc.date.accessioned | 2024-10-21T03:56:51Z | - |
| dc.date.available | 2024-10-21T03:56:51Z | - |
| dc.date.issued | 2024-11-15 | - |
| dc.identifier.citation | Applied Mathematics and Computation, 2024, v. 481 | - |
| dc.identifier.issn | 0096-3003 | - |
| dc.identifier.uri | http://hdl.handle.net/10722/350207 | - |
| dc.description.abstract | <p> <span>This paper studies the H</span><sub>2</sub><span> control problem for linear continuous-time systems over a finite-frequency range. Using the finite-frequency Gramian matrix approach, a necessary and sufficient condition is obtained for the characterization of the finite-frequency H</span><sub>2</sub><span> performance of a Hurwitz stability system. With such a characterization, a sufficient condition for the solvability of the finite-frequency H</span><sub>2</sub><span> control problem is derived. An iterative algorithm is then constructed to solve the corresponding controller gain numerically. Finally, a numerical example of a two-cart-one-spring system is given to illustrate the effectiveness of the proposed scheme</span> <br></p> | - |
| dc.language | eng | - |
| dc.publisher | Elsevier | - |
| dc.relation.ispartof | Applied Mathematics and Computation | - |
| dc.subject | Continuous-time system | - |
| dc.subject | Finite-frequency | - |
| dc.subject | Gramian matrix | - |
| dc.subject | H2 control | - |
| dc.title | A Gramian matrix approach to synthesizing finite-frequency H2 controller | - |
| dc.type | Article | - |
| dc.identifier.doi | 10.1016/j.amc.2024.128924 | - |
| dc.identifier.scopus | eid_2-s2.0-85198014082 | - |
| dc.identifier.volume | 481 | - |
| dc.identifier.eissn | 1873-5649 | - |
| dc.identifier.isi | WOS:001267285900001 | - |
| dc.identifier.issnl | 0096-3003 | - |