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Título : Constrained Optimal Control Theory for Differential Linear Repetitive Processes
Autor : Dymkov, M.
Rogers, E.
Dymkou, S.
Galkowski, K.
Palabras clave : Two-dimensional systems;Optimal control;constraints
Fecha de publicación : 2008
Language: Английский
Type: Article
Citación : 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.
Resumen : 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
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