Robust stability of control systems with polytopical uncertainty: a Nyquist approach
作者:
F. J. KRAUS,
W. TRUÖL,
期刊:
International Journal of Control
(Taylor Available online 1991)
卷期:
Volume 53,
issue 4
页码: 967-983
ISSN:0020-7179
年代: 1991
DOI:10.1080/00207179108953659
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
For technical plants, a bounded continuum of parameter values describes admissible process models. A robust controller guarantees the observance of minimal requirements for all of the allowed process models. In this paper a frequency domain approach is proposed that permits the instability of a family of polynomials to be checked. This method can be extended in an easy manner to investigate the Instability of a closed loop. The plant is thereby described by a family of models with a polytopical region of uncertainty in the parameter space. As an important special case of the general D-stability, the Hurwitz stability of the closed loop is investigated and a minimal set of necessary and sufficient conditions for robust Hurwitz stability is given. A generalization for other stability domains is possible. Besides an algebraic criterion based on a zero inclusion check for a minimal set of exposed edges of the polytopical region, a graphic criterion of Nyquist type can also be used.
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