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LMI-based controller synthesis: A unified formulation and solution
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DOI：10.1002/(SICI)1099-1239(19980715)8:8<669::AID-RNC337>3.0.CO;2-W.png)
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摘要
En 中文
This paper proposes a unified approach to linear controller synthesis that employs various LMI conditions to represent control specifications. We define a comprehensive class of LMIs and consider a general synthesis problem described by any LMI of the class. We show a procedure that reduces the synthesis problem, which is a BMI problem, to solving a certain LMI, The derived LMI condition is equivalent to the original BMI condition and also gives a convex parametrization of all the controllers that solve the synthesis problem. The class contains many of widely-known LMIs (for H(infinity) norm, H(2) norm, etc.), and hence the solution of this paper unifies design methods that have been proposed depending on each LMI. Further, the class also provides LMIs for multi-objective performance measures, which enable a new formulation of controller design through convex optimization. (C) 1998 John Wiley & Sons, Ltd.
Keyword:
comprehensive class of LMIs
unified solution
parametrization of controllers
multi-objective controller design
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