Eliminating Impulse for Descriptor System by Derivative Output Feedback
Author(s) -
Jian Li,
Yufa Teng,
Qingling Zhang,
Jinghao Li,
Liang Qiao
Publication year - 2014
Publication title -
journal of applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.307
H-Index - 43
eISSN - 1687-0042
pISSN - 1110-757X
DOI - 10.1155/2014/265601
Subject(s) - impulse (physics) , control theory (sociology) , output feedback , derivative (finance) , equivalence (formal languages) , closed loop , impulse response , mathematics , computer science , mathematical analysis , control (management) , control engineering , pure mathematics , engineering , physics , artificial intelligence , quantum mechanics , financial economics , economics
The problem of impulse elimination for descriptor system by derivative output feedback is investigated in this paper. Based on a novelly restricted system equivalence between matrix pencils, the range of dynamical order of the resultant closed loop descriptor system is given. Then, for the different dynamical order, sufficient conditions for the existence of derivative output feedback to ensure the resultant closed loop system to be impulse free are derived, and the corresponding derivative output feedback controllers are provided. Finally, simulation examples are given to show the consistence with the theoretical results obtained in this paper
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