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An iterative algorithm for maximizing robust performance in H∞ loop-shaping design
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DOI：10.1002/rnc.2809.png)
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In this paper, an algorithm that gives the best achievable performance bound on a given control problem is proposed using the H loop-shaping design framework. In view of standard design requirements, the robust performance is maximized at low and high frequencies while keeping the robust stability margin above a specified level, and the robust stability margin is directly improved at mid frequencies (around crossover). The proposed frequency-dependent optimization problem is cast in an LMI framework. The resulting solution algorithm simultaneously synthesizes loop-shaping weights and a stabilizing controller that achieve the maximum performance for a given level of robust stability margin corresponding to sufficient gain and phase margins of the closed-loop system. Copyright (c) 2012 John Wiley & Sons, Ltd.
Keyword:
H-infinity loop-shaping
robust performance
robust stability margin
weight optimization
LMI
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