Parametric Robust Structured Control Design

被引:107
作者
Apkarian, Pierre [1 ]
Minh Ngoc Dao [2 ,3 ]
Noll, Dominikus [3 ]
机构
[1] Off Natl Etud & Rech Aerosp, Control Syst Dept, F-31055 Toulouse, France
[2] Hanoi Natl Univ Educ, Dept Math & Informat, Hanoi, Vietnam
[3] Inst Math Toulouse, F-31062 Toulouse, France
关键词
Inner approximation; local optimality; nonsmooth optimization; parametric robust control; real uncertain parameters; structured H-infinity-synthesis; PROXIMITY CONTROL ALGORITHM; MINIMIZE NONSMOOTH; MATRIX; OPTIMIZATION;
D O I
10.1109/TAC.2015.2396644
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
We present a new approach to parametric robust controller design, where we compute controllers of arbitrary order and structure which minimize the worst-case H-infinity norm over a pre-specified set of uncertain parameters. At the core of our method is a nonsmooth minimization method tailored to functions which are semi-infinite minima of smooth functions. A rich test bench and a more detailed example illustrate the potential of the technique, which can deal with complex problems involving multiple possibly repeated uncertain parameters.
引用
收藏
页码:1857 / 1869
页数:13
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