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A coordinating approach for the solution of discrete linear servo‐mechanism problems with constraints
Author(s) -
Hassan Mohamed F.,
Ali Awatef K.
Publication year - 2008
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.48
Subject(s) - convergence (economics) , mathematical optimization , control theory (sociology) , servo , computer science , servomechanism , variable (mathematics) , scale (ratio) , mathematics , control (management) , control engineering , engineering , artificial intelligence , economics , mathematical analysis , physics , quantum mechanics , economic growth
A discrete‐time linear servo‐mechanism problem with system constraints is considered. An approach is developed to solve such a problem using an idea borrowed from large‐scale systems theory, in which a coordinating variable is introduced and used to satisfy state constraints. Under the assumption that the system is stabilizable and has a feasible solution, it is shown that the proposed procedure leads to the optimal solution while satisfying system constraints. A convergence analysis of the algorithm is undertaken and illustrative examples are provided to show the performance of the proposed algorithm. Copyright © 2008 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society