Linear quadratic optimal control based on dynamic compensation
The linear-quadratic optimal problem based on dynamic compensation is considered for a general quadratic performance index in this paper. First a dynamic compensator with a proper dynamic order is given such that the closed-loop system is asymptotically stable and its associated Lyapunov equation ha...
| Main Authors: | , , |
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| Other Authors: | |
| Format: | Conference Paper |
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Guizhou University and Chongqing University
2010
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| Subjects: | |
| Online Access: | http://hdl.handle.net/20.500.11937/21987 |
| _version_ | 1848750744689180672 |
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| author | Zhang, G. Liu, L. Liu, Wanquan |
| author2 | Honglei Xu |
| author_facet | Honglei Xu Zhang, G. Liu, L. Liu, Wanquan |
| author_sort | Zhang, G. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | The linear-quadratic optimal problem based on dynamic compensation is considered for a general quadratic performance index in this paper. First a dynamic compensator with a proper dynamic order is given such that the closed-loop system is asymptotically stable and its associated Lyapunov equation has a symmetric positive-definite solution. Then the quadratic performance index is derived to be an expression related to the symmetric positive-definite solution and the initial value of the closed-loop system. In order to solve the optimal control problem for the system, the proposed Lyapunov equation is transformed into a Bilinear Matrix Inequality (BMI) and a corresponding path-following algorithm to minimize the quadratic performance index is proposed in which an optimal dynamic compensator can be obtained. Finally, several numerical examples are provided to demonstrate the effectiveness and feasibility of the proposed algorithm. |
| first_indexed | 2025-11-14T07:41:42Z |
| format | Conference Paper |
| id | curtin-20.500.11937-21987 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T07:41:42Z |
| publishDate | 2010 |
| publisher | Guizhou University and Chongqing University |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-219872023-01-13T07:56:30Z Linear quadratic optimal control based on dynamic compensation Zhang, G. Liu, L. Liu, Wanquan Honglei Xu Xinmin Yang Wei Wei linear system pathfollowing algorithm bilinear matrix inequality (BMI) dynamic compensation Optimal control The linear-quadratic optimal problem based on dynamic compensation is considered for a general quadratic performance index in this paper. First a dynamic compensator with a proper dynamic order is given such that the closed-loop system is asymptotically stable and its associated Lyapunov equation has a symmetric positive-definite solution. Then the quadratic performance index is derived to be an expression related to the symmetric positive-definite solution and the initial value of the closed-loop system. In order to solve the optimal control problem for the system, the proposed Lyapunov equation is transformed into a Bilinear Matrix Inequality (BMI) and a corresponding path-following algorithm to minimize the quadratic performance index is proposed in which an optimal dynamic compensator can be obtained. Finally, several numerical examples are provided to demonstrate the effectiveness and feasibility of the proposed algorithm. 2010 Conference Paper http://hdl.handle.net/20.500.11937/21987 Guizhou University and Chongqing University restricted |
| spellingShingle | linear system pathfollowing algorithm bilinear matrix inequality (BMI) dynamic compensation Optimal control Zhang, G. Liu, L. Liu, Wanquan Linear quadratic optimal control based on dynamic compensation |
| title | Linear quadratic optimal control based on dynamic compensation |
| title_full | Linear quadratic optimal control based on dynamic compensation |
| title_fullStr | Linear quadratic optimal control based on dynamic compensation |
| title_full_unstemmed | Linear quadratic optimal control based on dynamic compensation |
| title_short | Linear quadratic optimal control based on dynamic compensation |
| title_sort | linear quadratic optimal control based on dynamic compensation |
| topic | linear system pathfollowing algorithm bilinear matrix inequality (BMI) dynamic compensation Optimal control |
| url | http://hdl.handle.net/20.500.11937/21987 |