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Title: | Constrained Optimal Control Theory for Differential Linear Repetitive Processes |
Authors: | Dymkov, M. Rogers, E. Dymkou, S. Galkowski, K. |
Keywords: | Two-dimensional systems;Optimal control;constraints |
Issue Date: | 2008 |
Language: | Английский |
Type: | Article |
Citation: | Constrained Optimal Control Theory for Differential Linear Repetitive Processes / M. Dymkov, E. Rogers, S. Dymkou, K. Galkowski // SIAM Journal on Control and Optimization. – 2008. – Vol. 47, Iss. 1. – P. 396-420. |
Abstract: | Differential repetitive processes are a distinct class of continuous-discrete twodimensional linear systems of b o th systems theoretic and applications interest. These processes complete a series of sweeps termed passes th rough a set of dynamics defined over a finite duration known as th e pass length, and once th e end is reached th e process is reset to its s ta rtin g position before th e next pass begins. Moreover th e o u tp u t or pass profile produced on each pass explicitly contributes to th e dynamics of th e next one. Applications are as include iterative learning control and iterative solution algorithms, for classes of dynamic nonlin ear optimal control problems based on th e maximum principle, and th e modeling of numerous industrial processes such as metal rolling, long-wall cutting, etc. In th is paper we develop su b stan tia l new results on optimal control of these processes in th e presence of constraints where th e cost function and constraints are motivated by practical application of iterative learning control to robotic manipulators and o th er electromechanical systems. The analysis is based on generalizing th e well-known maximum and e-maximum principles to them. |
URI: | http://edoc.bseu.by:8080/handle/edoc/13155 |
Appears in Collections: | Публикации в изданиях других стран |
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13 Dymkov, M. P..pdf | 2.18 MB | Adobe PDF | View/Open |
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