Paper Info
Title
When is a controller optimal in the sense of /spl Hscr//sub /spl infin// loop-shaping?
Abstract
In this paper we characterize the controllers which are possible solutions of a certain /spl Hscr//sub /spl infin// control design problem, The problem considered is the optimal robustness problem for (weighted) normalized coprime factor/gap metric uncertainty, which is the basis for the Glover-McFarlane /spl Hscr//sub /spl infin// loop-shaping design method. Given a plant P and a corresponding controller C, we ask if C can be obtained from the optimization procedure for some choice of weighting function. This paper considers single-input/single-output systems and gives necessary and sufficient conditions for optimality which involve right-half plane pole/zero counts and a certain winding number test based on the Nyquist diagram of PC. The results give a characterization of this class of /spl Hscr//sub /spl infin//-optimal designs in the language of classical control.
Year
DOI
Venue
1995
10.1109/9.478228
IEEE Transactions on Automatic Control
Keywords
DocType
Volume
Optimal control,Shape control,H infinity control,Inverse problems,Testing,Uncertainty,Sufficient conditions,Poles and zeros,Robustness,Robust control
Journal
40
Issue
ISSN
Citations 
12
0018-9286
2
PageRank 
References 
Authors
0.43
2
2
Name
Order
Citations
PageRank
jie feng120.43
Malcolm C. Smith225047.90