Controller design with real parametric uncertainty
作者:
PETERM. YOUNG,
期刊:
International Journal of Control
(Taylor Available online 1996)
卷期:
Volume 65,
issue 3
页码: 469-509
ISSN:0020-7179
年代: 1996
DOI:10.1080/00207179608921707
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
A number of techniques have been developed in recent years for the analysis and design of controllers which are robust with respect to structured complex uncertainty. In particular the complex μ synthesis procedure has been successfully applied to a number of engineering problems. However, the presence of real parametric uncertainty in the problem substantially complicates matters, so that standard complex μ synthesis techniques are no longer adequate. This paper develops a procedure to tackle the mixed (real and complex) μ synthesis problem. This procedure involves a (D, G)-K iteration between computing the mixed μ upper bound and solving anH∞optimal control problem. The resulting scheme has guaranteed convergence, though not necessarily to the global optimum of the (non-convex) problem. The (D, G)-K iteration has been implemented in software, and several controller designs are carried out and compared with the corresponding complex μ synthesis designs, to illustrate the advantages of the new technique.
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