Premium
Polynomial LQG design of subrate digital feedback systems via frequency decomposition
Author(s) -
Truman Alan W.,
Govan Michelle
Publication year - 2000
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/1099-1514(200009/10)21:5<211::aid-oca674>3.0.co;2-r
Subject(s) - linear quadratic gaussian control , control theory (sociology) , transfer function , polynomial , scalar (mathematics) , digital control , optimal projection equations , factorization , mathematics , decomposition , controller (irrigation) , spectral theorem , frequency response , optimal control , computer science , mathematical optimization , algorithm , control (management) , engineering , electronic engineering , mathematical analysis , artificial intelligence , ecology , agronomy , geometry , operator theory , electrical engineering , biology
This paper describes the optimal synthesis of digital feedback systems in which the measured variable is sampled at a faster rate than the control is activated. Combining the ‘polynomial equations’ approach with frequency decomposition, the design methodology deals entirely with pulse‐transfer function models and, computationally, requires only the solution of scalar spectral factorization and pole‐placement problems. The relative influence of the ‘subrate’ LQG controller on closed‐loop performance is assessed from results engendered by a series of numerical examples. Copyright © 2000 John Wiley & Sons, Ltd.