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|Title:||VARIATIONAL APPROACH TO THE OPTIMUM CONTROL OF DISTRIBUTED PARAMETER SYSTEMS|
|Authors:||Joshi, Ramesh Chandra|
|Keywords:||ELECTRONICS AND COMPUTER ENGINEERING;ELECTRONICS AND COMPUTER ENGINEERING;ELECTRONICS AND COMPUTER ENGINEERING;ELECTRONICS AND COMPUTER ENGINEERING|
|Abstract:||This thesis deals with the variational approach to the optimal control of distributed parameter systems. Although there has been much work done in the field of lumped parameter system using the well known techniques of dynamic programming and Pontryagin's maximum principle, it was rather recently that the importance of distributed parameter optimal control system was realized. Prof. Butkovskii (l' initiated the study of distributed parameter system. He published a series of papers on distributed parameter optimal control system. Wang and Tung~2 extended the dynamic programming approach to the solution of optimal control problems. The author has discussed and further extended the vari- ational methods to the optimal control problems of distributed parameter system. Firstly, the Euler-Lagrange equations and Weierstre ss--Erdmann conditions for distributed parameter system are derived. The Mayer-Bfllxa problems with unspeci-fied terminal time are formulated. After applying the Weiers-trass condition to these problems the maximum principle for both the cases (with and without control constraints) is formulated. A bang-bang control problem is also formulated using variational methods. Finally, typical examples of dist-ributed boundary control and distributed regulator problems have been solved by variational methods. It is hoped that the variational techniques will stim-ulate further interest in this important field and additional interesting and useful results will be obtained.|
|Research Supervisor/ Guide:||Lal, M.|
|Appears in Collections:||MASTERS' DISSERTATIONS (E & C)|
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