GAIN SCHEDULING VIA LINEAR FRACTIONAL TRANSFORMATIONS

被引:612
作者
PACKARD, A [1 ]
机构
[1] UNIV CALIF BERKELEY,DEPT MECH ENGN,BERKELEY,CA 94720
基金
美国国家科学基金会;
关键词
GAIN SCHEDULING; PARAMETER-DEPENDENT SYSTEMS; LINEAR FRACTIONAL TRANSFORMATIONS; ETA-INFINITY; ROBUST CONTROL; CONVEX OPTIMIZATION;
D O I
10.1016/0167-6911(94)90102-3
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
A linear finite-dimensional plant with rational state-space parameter dependence is controlled using a parameter-dependent controller. The parameters are known to take on values in a unit ball, and are known in real time. The goal of control is to stabilize the parameter-dependent closed-loop system, and provide disturbance/error attenuation as measured in induced e2 norms. The approach taken uses the optimally scaled small-gain theorem, and solves the control synthesis problem by reformulating the existence conditions into a finite-dimensional convex optimization.
引用
收藏
页码:79 / 92
页数:14
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