LPV control and full block multipliers

被引:419
作者
Scherer, CW [1 ]
机构
[1] Delft Univ Technol, Mech Engn Syst & Control Grp, NL-2628 CD Delft, Netherlands
关键词
linear parameter varying systems; implicit uncertain systems; multipliers; full block S-procedure; linear matrix inequalities;
D O I
10.1016/S0005-1098(00)00176-X
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
For systems affected by time-varying parameters, we provide a novel construction of controllers that lake on-line measurements of these parameters into account to achieve a certain desired performance specification. Since the controller construction is based on multipliers or scalings that are not, as typical in many robust control problems, structured but that are full and do not need to obey any inertia properties, our results permit to reduce the conservatism if allowing for arbitrary fast parameter variations to an arbitrary degree. The paper contains results for parameterized linear matrix inequalities (full block S-procedure) and dualization as well as elimination results for quadratic matrix inequalities that are of independent interest. (C) 2001 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码:361 / 375
页数:15
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