DocumentCode :
358844
Title :
LMI robustness analysis for H2 performance of exactly discretized sampled-data models
Author :
Osburn, Scot L. ; Bernstein, Dennis S.
Author_Institution :
Dept. of Aerosp. Eng., Michigan Univ., MI, USA
Volume :
1
Issue :
6
fYear :
2000
fDate :
36770
Firstpage :
662
Abstract :
Although it seems reasonable to conjecture that the closed-loop performance of a sampled-data system improves as processor speed increases, this is not the case. Specifically, although slow sampling degrades the H2 performance, even slower sampling may be used without significant performance degradation. These results assumed, however, that the plant model is exact. Consequently, in this paper we design controllers based on the nominal plant, and study the effect of input, output, and dynamics uncertainty on the performance of H2 optimal controllers designed for exactly discretized plants at various sampling rates. We then present a guaranteed cost inequality framework for analysing the robust stability and performance of a sampled-data system, and present an LMI method for solving the robust performance problem
Keywords :
control system analysis; controllability; discrete time systems; matrix algebra; optimal control; robust control; sampled data systems; H2 control; discrete time systems; exactly discretized plants; guaranteed cost inequality; linear matrix inequality; optimal control; robust control; robustness; sampled-data system; stability; Aerodynamics; Controllability; Degradation; Eigenvalues and eigenfunctions; Optimal control; Performance analysis; Robust stability; Robustness; Sampling methods; Uncertainty;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
American Control Conference, 2000. Proceedings of the 2000
Conference_Location :
Chicago, IL
ISSN :
0743-1619
Print_ISBN :
0-7803-5519-9
Type :
conf
DOI :
10.1109/ACC.2000.878984
Filename :
878984
Link To Document :
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