ρ-Stability and robustness: discrete-time case
作者:
H. BOURLÉS,
Y. JOANNIC,
O. MERCIER,
期刊:
International Journal of Control
(Taylor Available online 1990)
卷期:
Volume 52,
issue 5
页码: 1217-1239
ISSN:0020-7179
年代: 1990
DOI:10.1080/00207179008953591
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
We say that a discrete-time system is ρ-stable if, roughly speaking, ρk>Xk→0, where>Xkis the system state. General ρ-stability theorems are established in this paper. They concern systems governed by functional difference equations. Systems of this type are encountered in the robustness studies. These ρ-stability theorems are a generalization of the well-known Lyapunov criterion. These results are applied to the robustness quantification problem in the second part of the paper. The case of discrete-time LQ regulators is deeply investigated. Robustness properties of continuous-time LQ regulators are found as the limit when the sampling period>Ttends to zero; robustness deteriorates as T increases. An upper bound is given for>T, under which the robustness remains satisfactory. The practical interest of these theoretical results is illustrated on the basis of an industrial example.
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