Explicit reference governor for linear systems
The explicit reference governor is a constrained control scheme that was originally introduced for generic nonlinear systems. This paper presents two explicit reference governor strategies that are specifically tailored for the constrained control of linear time-invariant systems subject to linear c...
| Main Authors: | , , |
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| Format: | Journal Article |
| Published: |
Taylor & Francis
2017
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| Online Access: | http://hdl.handle.net/20.500.11937/53166 |
| _version_ | 1848759080658665472 |
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| author | Garone, E. Nicotra, M. Ntogramatzidis, Lorenzo |
| author_facet | Garone, E. Nicotra, M. Ntogramatzidis, Lorenzo |
| author_sort | Garone, E. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | The explicit reference governor is a constrained control scheme that was originally introduced for generic nonlinear systems. This paper presents two explicit reference governor strategies that are specifically tailored for the constrained control of linear time-invariant systems subject to linear constraints. Both strategies are based on the idea of maintaining the system states within an invariant set which is entirely contained in the constraints. This invariant set can be constructed by exploiting either the Lyapunov inequality or modal decomposition. To improve the performance, we show that the two strategies can be combined by choosing at each time instant the least restrictive set. Numerical simulations illustrate that the proposed scheme achieves performances that are comparable to optimisation-based reference governors. |
| first_indexed | 2025-11-14T09:54:12Z |
| format | Journal Article |
| id | curtin-20.500.11937-53166 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:54:12Z |
| publishDate | 2017 |
| publisher | Taylor & Francis |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-531662018-04-19T03:34:17Z Explicit reference governor for linear systems Garone, E. Nicotra, M. Ntogramatzidis, Lorenzo The explicit reference governor is a constrained control scheme that was originally introduced for generic nonlinear systems. This paper presents two explicit reference governor strategies that are specifically tailored for the constrained control of linear time-invariant systems subject to linear constraints. Both strategies are based on the idea of maintaining the system states within an invariant set which is entirely contained in the constraints. This invariant set can be constructed by exploiting either the Lyapunov inequality or modal decomposition. To improve the performance, we show that the two strategies can be combined by choosing at each time instant the least restrictive set. Numerical simulations illustrate that the proposed scheme achieves performances that are comparable to optimisation-based reference governors. 2017 Journal Article http://hdl.handle.net/20.500.11937/53166 10.1080/00207179.2017.1317832 Taylor & Francis restricted |
| spellingShingle | Garone, E. Nicotra, M. Ntogramatzidis, Lorenzo Explicit reference governor for linear systems |
| title | Explicit reference governor for linear systems |
| title_full | Explicit reference governor for linear systems |
| title_fullStr | Explicit reference governor for linear systems |
| title_full_unstemmed | Explicit reference governor for linear systems |
| title_short | Explicit reference governor for linear systems |
| title_sort | explicit reference governor for linear systems |
| url | http://hdl.handle.net/20.500.11937/53166 |