Quantitative non-linear compensation design for saturating unstable uncertain plants
作者:
I. M. HOROWITZ,
Y. K. LIAO,
期刊:
International Journal of Control
(Taylor Available online 1986)
卷期:
Volume 44,
issue 4
页码: 1137-1146
ISSN:0020-7179
年代: 1986
DOI:10.1080/00207178608933655
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
Consider an unstable uncertain plant controlled by an elementNp, which saturates when its input |x| ≥M. The system can be stabilized by means of feedback, which, however, is absent duringNpsaturation. If the saturation interval is long enough, it is impossible to recover system stability viaNp. This paper presents a synthesis technique for ensuring thatNpdoes not saturate despite very large command inputs. The basic idea is to prevent |x|>M, via an added saturating elementNwith saturation levelm, which in turn is determined by |x|. A systematic, quantitative design technique is presented for unstable plants with large uncertainty, to achieve (a) desired performance tolerances over the linear range (small command inputs) and (b)acceptable but unavoidably slower response for large command inputs. Both (a) and (b) are achieved over the specified extent of plant uncertainty. The design technique makes use of several previously developed quantitative synthesis theories for minimum- and non-minimum-phase uncertain plants in linear operation, and for uncertain minimum-phase stable plants subject to saturation.
点击下载:
PDF (236KB)
返 回