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| Title: | An optimal dynamic inversion approach for controlling a class of one-dimensional nonlinear distributed parameter systems | |
| Author (s): | Padhi, R. Balakrishnan, S. N. | |
| Department/Lab Affiliations: | Mechanical & Aerospace Engineering | |
| Keywords: | approximate-then-design technique control synthesis control system synthesis design-then-approximate technique distributed parameter systems nonlinear control systems nonlinear distributed parameter systems optimal control optimal dynamic inversion optimization stability | |
| Issue Date: | 2006 | |
| Publisher: | Institute of Electrical and Electronics Engineers | |
| Citation: | Padhi, R.; Balakrishnan, S. N. "An optimal dynamic inversion a pp.oach for controlling a class of one-dimensional nonlinear distributed parameter systems" American Control Conference, 2006, 14-16 June 2006 Pages: 6 pp. | |
| Abstract: | Combining the principles of dynamic inversion and optimization theory, a new approach is presented for stable control of a class of one-dimensional nonlinear distributed parameter systems, assuming the availability a continuous actuator in the spatial domain. Unlike the existing approximate-then-design and design-then-approximate techniques, here there is no need of any approximation either of the system dynamics or of the resulting controller. Rather, the control synthesis approach is fairly straight-forward and simple. The controller formulation has more elegance because we can prove the convergence of the controller to its steady state value. To demonstrate the potential of the proposed technique, a real-life temperature control problem for a heat transfer application is solved. It has been demonstrated that a desired temperature profile can be achieved starting from any arbitrary initial temperature profile. | |
| Type: | Article - Conference proceedings text | |
| 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. FULL COPYRIGHT INFORMATION: | |
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| title | An optimal dynamic inversion approach for controlling a class of one-dimensional nonlinear distributed parameter systems | |
| contributor.author | Padhi, R. | |
| contributor.author | Balakrishnan, S. N. | |
| contributor.deptlab | Mechanical & Aerospace Engineering | |
| subject | approximate-then-design technique | |
| subject | control synthesis | |
| subject | control system synthesis | |
| subject | design-then-approximate technique | |
| subject | distributed parameter systems | |
| subject | nonlinear control systems | |
| subject | nonlinear distributed parameter systems | |
| subject | optimal control | |
| subject | optimal dynamic inversion | |
| subject | optimization | |
| subject | stability | |
| date.issued | 2006 | |
| date.submitted | 2007 | |
| publisher | Institute of Electrical and Electronics Engineers | |
| identifier.citation | Padhi, R.; Balakrishnan, S. N. "An optimal dynamic inversion a pp.oach for controlling a class of one-dimensional nonlinear distributed parameter systems" American Control Conference, 2006, 14-16 June 2006 Pages: 6 pp. | |
| identifier.pub.URI | ||
| description.abstract | Combining the principles of dynamic inversion and optimization theory, a new approach is presented for stable control of a class of one-dimensional nonlinear distributed parameter systems, assuming the availability a continuous actuator in the spatial domain. Unlike the existing approximate-then-design and design-then-approximate techniques, here there is no need of any approximation either of the system dynamics or of the resulting controller. Rather, the control synthesis approach is fairly straight-forward and simple. The controller formulation has more elegance because we can prove the convergence of the controller to its steady state value. To demonstrate the potential of the proposed technique, a real-life temperature control problem for a heat transfer application is solved. It has been demonstrated that a desired temperature profile can be achieved starting from any arbitrary initial temperature profile. | |
| type | Article - Conference proceedings | |
| type.DCMIType | text | |
| type.status | Final version | |
| 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.URI | ||
| date.accessioned | 2007-04-05T14:27:08Z | |
| date.available | 2007-04-05T14:27:07Z | |
| identifier.persist.URI | ||
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