Inverse optimal control of linear distributed parameter systems
A constructive method is developed to design inverse optimal controllers for a class of linear distributed parameter systems (DPSs). Inverse optimality guarantees that the cost functional to be minimized is meaningful in the sense that the symmetric and positive definite weighting kernel matrix on t...
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| Format: | Journal Article |
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HIKARI Ltd
2014
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| Online Access: | http://hdl.handle.net/20.500.11937/48039 |
| _version_ | 1848757999992045568 |
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| author | Do, Khac Duc |
| author_facet | Do, Khac Duc |
| author_sort | Do, Khac Duc |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | A constructive method is developed to design inverse optimal controllers for a class of linear distributed parameter systems (DPSs). Inverse optimality guarantees that the cost functional to be minimized is meaningful in the sense that the symmetric and positive definite weighting kernel matrix on the states is chosen after the control design instead of being specified at the start of the control design. Inverse optimal design enables that the Riccati nonlinear partial differential equation (PDE) can be simplified to a Bernoulli PDE, which can be solved analytically. The control design is based on a new Green matrix formula, a new unique and bounded solution of a linear PDE, and an analytical solution of a Bernoulli PDE. Both distributed and finite control problems are addressed. An example is given. |
| first_indexed | 2025-11-14T09:37:01Z |
| format | Journal Article |
| id | curtin-20.500.11937-48039 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:37:01Z |
| publishDate | 2014 |
| publisher | HIKARI Ltd |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-480392017-10-02T02:27:58Z Inverse optimal control of linear distributed parameter systems Do, Khac Duc Distributed parameter systems Inverse optimal control Finite controls Riccati PDE Bernoulli PDE A constructive method is developed to design inverse optimal controllers for a class of linear distributed parameter systems (DPSs). Inverse optimality guarantees that the cost functional to be minimized is meaningful in the sense that the symmetric and positive definite weighting kernel matrix on the states is chosen after the control design instead of being specified at the start of the control design. Inverse optimal design enables that the Riccati nonlinear partial differential equation (PDE) can be simplified to a Bernoulli PDE, which can be solved analytically. The control design is based on a new Green matrix formula, a new unique and bounded solution of a linear PDE, and an analytical solution of a Bernoulli PDE. Both distributed and finite control problems are addressed. An example is given. 2014 Journal Article http://hdl.handle.net/20.500.11937/48039 10.12988/ams.2014.310563 HIKARI Ltd fulltext |
| spellingShingle | Distributed parameter systems Inverse optimal control Finite controls Riccati PDE Bernoulli PDE Do, Khac Duc Inverse optimal control of linear distributed parameter systems |
| title | Inverse optimal control of linear distributed parameter systems |
| title_full | Inverse optimal control of linear distributed parameter systems |
| title_fullStr | Inverse optimal control of linear distributed parameter systems |
| title_full_unstemmed | Inverse optimal control of linear distributed parameter systems |
| title_short | Inverse optimal control of linear distributed parameter systems |
| title_sort | inverse optimal control of linear distributed parameter systems |
| topic | Distributed parameter systems Inverse optimal control Finite controls Riccati PDE Bernoulli PDE |
| url | http://hdl.handle.net/20.500.11937/48039 |