An optimal PID controller design for nonlinear optimal control problems with continuous state inequality constraints
In this paper, we consider an optimal PID control problem subject to continuous state inequality constraints. By applying the constraint transcription method, a local smoothing technique to these continuous state inequality constraint functions, we construct the corresponding smooth approximate func...
| Main Authors: | , , , |
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| Other Authors: | |
| Format: | Conference Paper |
| Published: |
Guiyang University
2010
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| Online Access: | http://hdl.handle.net/20.500.11937/4077 |
| _version_ | 1848744413725982720 |
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| author | Teo, Kok Lay Li, Bin Lim, Cheng-chew Duan, G |
| author2 | Honglei Xu |
| author_facet | Honglei Xu Teo, Kok Lay Li, Bin Lim, Cheng-chew Duan, G |
| author_sort | Teo, Kok Lay |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this paper, we consider an optimal PID control problem subject to continuous state inequality constraints. By applying the constraint transcription method, a local smoothing technique to these continuous state inequality constraint functions, we construct the corresponding smooth approximate functions. Then, by using the concept of the penalty function, these smooth approximate functions are appended to the cost function, forming a new cost function. Then, the constrained optimal PID control problem is approximated by a sequence of unconstrained optimal control problems. Each of which can be viewed and hence solved as an unconstrained nonlinear optimization problem. The gradient formula of the new appended cost function is derived, and a reliable computation algorithm is given. |
| first_indexed | 2025-11-14T06:01:04Z |
| format | Conference Paper |
| id | curtin-20.500.11937-4077 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T06:01:04Z |
| publishDate | 2010 |
| publisher | Guiyang University |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-40772022-12-09T07:12:35Z An optimal PID controller design for nonlinear optimal control problems with continuous state inequality constraints Teo, Kok Lay Li, Bin Lim, Cheng-chew Duan, G Honglei Xu Xinmin Yang Wei Wei In this paper, we consider an optimal PID control problem subject to continuous state inequality constraints. By applying the constraint transcription method, a local smoothing technique to these continuous state inequality constraint functions, we construct the corresponding smooth approximate functions. Then, by using the concept of the penalty function, these smooth approximate functions are appended to the cost function, forming a new cost function. Then, the constrained optimal PID control problem is approximated by a sequence of unconstrained optimal control problems. Each of which can be viewed and hence solved as an unconstrained nonlinear optimization problem. The gradient formula of the new appended cost function is derived, and a reliable computation algorithm is given. 2010 Conference Paper http://hdl.handle.net/20.500.11937/4077 Guiyang University fulltext |
| spellingShingle | Teo, Kok Lay Li, Bin Lim, Cheng-chew Duan, G An optimal PID controller design for nonlinear optimal control problems with continuous state inequality constraints |
| title | An optimal PID controller design for nonlinear optimal control problems with continuous state inequality constraints |
| title_full | An optimal PID controller design for nonlinear optimal control problems with continuous state inequality constraints |
| title_fullStr | An optimal PID controller design for nonlinear optimal control problems with continuous state inequality constraints |
| title_full_unstemmed | An optimal PID controller design for nonlinear optimal control problems with continuous state inequality constraints |
| title_short | An optimal PID controller design for nonlinear optimal control problems with continuous state inequality constraints |
| title_sort | optimal pid controller design for nonlinear optimal control problems with continuous state inequality constraints |
| url | http://hdl.handle.net/20.500.11937/4077 |