Dissipative control for linear systems via PID controller
In this paper a new type of proportional-integral-derivative (PID) controllers is designed to make the closed-loop linear system asymptotically stable and strictly quadratic dissipative. First, we give a state-space realization for such PID controller and then derive the state-space realization of c...
| Main Authors: | , , , |
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| Other Authors: | |
| Format: | Conference Paper |
| Published: |
IEEE
2011
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| Subjects: | |
| Online Access: | http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=6000456&isnumber=6000362 http://hdl.handle.net/20.500.11937/30400 |
| _version_ | 1848753078064381952 |
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| author | Wang, S. Zhang, G. Zuo, Z. Liu, Wan-Quan |
| author2 | Not known |
| author_facet | Not known Wang, S. Zhang, G. Zuo, Z. Liu, Wan-Quan |
| author_sort | Wang, S. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this paper a new type of proportional-integral-derivative (PID) controllers is designed to make the closed-loop linear system asymptotically stable and strictly quadratic dissipative. First, we give a state-space realization for such PID controller and then derive the state-space realization of closed-loop system. Second, a necessary and sufficient condition ensuring the closed-loop system to be asymptotically stable and quadratic dissipative is derived in terms of linear matrix inequality (LMI). Based on this result, the explicit expression for the PID controller gains is presented. Finally, an illustrative example is given to demonstrate the effectiveness of the proposed design approach. |
| first_indexed | 2025-11-14T08:18:47Z |
| format | Conference Paper |
| id | curtin-20.500.11937-30400 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T08:18:47Z |
| publishDate | 2011 |
| publisher | IEEE |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-304002017-03-08T13:13:31Z Dissipative control for linear systems via PID controller Wang, S. Zhang, G. Zuo, Z. Liu, Wan-Quan Not known Dissipative control PID controller Strictly quadratic dissipative Linear systems In this paper a new type of proportional-integral-derivative (PID) controllers is designed to make the closed-loop linear system asymptotically stable and strictly quadratic dissipative. First, we give a state-space realization for such PID controller and then derive the state-space realization of closed-loop system. Second, a necessary and sufficient condition ensuring the closed-loop system to be asymptotically stable and quadratic dissipative is derived in terms of linear matrix inequality (LMI). Based on this result, the explicit expression for the PID controller gains is presented. Finally, an illustrative example is given to demonstrate the effectiveness of the proposed design approach. 2011 Conference Paper http://hdl.handle.net/20.500.11937/30400 http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=6000456&isnumber=6000362 IEEE restricted |
| spellingShingle | Dissipative control PID controller Strictly quadratic dissipative Linear systems Wang, S. Zhang, G. Zuo, Z. Liu, Wan-Quan Dissipative control for linear systems via PID controller |
| title | Dissipative control for linear systems via PID controller |
| title_full | Dissipative control for linear systems via PID controller |
| title_fullStr | Dissipative control for linear systems via PID controller |
| title_full_unstemmed | Dissipative control for linear systems via PID controller |
| title_short | Dissipative control for linear systems via PID controller |
| title_sort | dissipative control for linear systems via pid controller |
| topic | Dissipative control PID controller Strictly quadratic dissipative Linear systems |
| url | http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=6000456&isnumber=6000362 http://hdl.handle.net/20.500.11937/30400 |