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Linear‐quadratic optimal control of high index singularly perturbed systems
Author(s) -
Mikhailov S. A.,
Müller P. C.
Publication year - 2000
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.20000801433
Subject(s) - decoupling (probability) , tikhonov regularization , quadratic equation , mathematics , control theory (sociology) , singular perturbation , linear system , optimal control , index (typography) , control (management) , computer science , mathematical optimization , mathematical analysis , inverse problem , engineering , geometry , world wide web , control engineering , artificial intelligence
We consider singular singularly perturbed problems (SSPP) where the reduced DAE system has index > 1. Using terminology of descriptor systems literature, we will call these systems high index singularly perturbed systems. Tikhonov‐Levinson theory and standard time‐scale modeling do not apply for the SSPP. Therefore the related subjects have to be considered in the course of linear‐quadratic optimal control design. These difficulties can be alleviated by means of decoupling the slow and fast motions in SSPP. We analyse the general structure of optimal hear‐quadratic control design.