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| Title: | Reduced order optimal control synthesis of a class of nonlinear distributed parameter systems using single network adaptive critics |
| Author (s): | Padhi, Radhakant Prabhat, Prashant Balakrishnan, S. N. |
| Department/Lab Affiliations: | Mechanical & Aerospace Engineering |
| Keywords: | SNAC adaptive critic distributed parameter system control optimal control proper orthogonal decomposition single network adaptive critic temperature control |
| Issue Date: | 2008-02 |
| Publisher: | Sinec ICIC |
| Citation: | Padhi, Prashant, Prashant Prabhat, and S. N. Balakrishnan “Reduced Order Optimal Control Synthesis of a Class of Nonlinear Distributed Parameter Systems Using Single Network Adaptive Critics”, International Journal of Innovative Computing, Information, and Control, Vol. 4, No. 2, 2008, pp. 457-469, 2008 |
| Abstract: | A computational tool is presented in this paper for the optimal control synthesis of a class of nonlinear distributed parameter systems. This systematic methodology incorporates proper orthogonal decomposition based basis function design followed by Galerkin projection, which results in a low-dimensional lumped parameter model. The optimal control problem in the reduced lumped parameter framework is then solved following the philosophy of recently developed ‘single network adaptive critic (SNAC)’ neural networks. This time domain solution is then mapped back to the distributed domain, which essentially leads to a closed form solution for the control variable in a state feedback form. Finite-element based numerical simulation results are presented for a onedimensional benchmark nonlinear heat conduction problem. |
| Type: | Article - Journal text |
| In Title: | International Journal of Innovative Computing, Information, and Control |
| Copyright Notice: | This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder. No full text allowed FULL COPYRIGHT INFORMATION: |
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| title | Reduced order optimal control synthesis of a class of nonlinear distributed parameter systems using single network adaptive critics |
| contributor.author | Padhi, Radhakant |
| contributor.author | Prabhat, Prashant |
| contributor.author | Balakrishnan, S. N. |
| contributor.deptlab | Mechanical & Aerospace Engineering |
| subject | SNAC |
| subject | adaptive critic |
| subject | distributed parameter system control |
| subject | optimal control |
| subject | proper orthogonal decomposition |
| subject | single network adaptive critic |
| subject | temperature control |
| date.issued | 2008-02 |
| publisher | Sinec ICIC |
| identifier.citation | Padhi, Prashant, Prashant Prabhat, and S. N. Balakrishnan “Reduced Order Optimal Control Synthesis of a Class of Nonlinear Distributed Parameter Systems Using Single Network Adaptive Critics”, International Journal of Innovative Computing, Information, and Control, Vol. 4, No. 2, 2008, pp. 457-469, 2008 |
| identifier.pub.URI | |
| description.abstract | A computational tool is presented in this paper for the optimal control synthesis of a class of nonlinear distributed parameter systems. This systematic methodology incorporates proper orthogonal decomposition based basis function design followed by Galerkin projection, which results in a low-dimensional lumped parameter model. The optimal control problem in the reduced lumped parameter framework is then solved following the philosophy of recently developed ‘single network adaptive critic (SNAC)’ neural networks. This time domain solution is then mapped back to the distributed domain, which essentially leads to a closed form solution for the control variable in a state feedback form. Finite-element based numerical simulation results are presented for a onedimensional benchmark nonlinear heat conduction problem. |
| type | Article - Journal |
| type.DCMIType | text |
| relation.isPartOf | International Journal of Innovative Computing, Information, and Control |
| rights | This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder. |
| rights | No full text allowed |
| rights.URI | |
| date.available | 2008-09-10T21:02:41Z |
| identifier.persist.URI |