Fixed-structure LPV-IO controllers: An implicit representation based approach

被引：10
|
作者：
Wollnack, Simon [1 ]
Abbas, Hossam Seddik [2 ]
Toth, Roland [3 ]
Werner, Herbert [1 ]
机构：
[1] Hamburg Univ Technol, Inst Control Syst, Eissendorfer Str 40, D-21073 Hamburg, Germany
[2] Assiut Univ, Fac Engn, Elect Engn Dept, Assiut 71515, Egypt
[3] Eindhoven Univ Technol, Dept Elect Engn, Control Syst Grp, POB 513, NL-5600 MB Eindhoven, Netherlands
来源：
AUTOMATICA | 2017年 / 83卷
关键词：
Linear parameter-varying; Fixed-structure; Input-output; SYSTEMS;
D O I：
10.1016/j.automatica.2017.06.009
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this note, novel linear matrix inequality (LMI) analysis conditions for the stability of linear parameter varying (LPV) systems in input output (IO) representation form are proposed together with bilinear matrix inequality (BMI) conditions for fixed-structure LPV-IO controller synthesis. Both the LPV-IO plant model and the controller are assumed to depend affinely and statically on the scheduling variables. By using an implicit representation of the plant and the controller interaction, an exact representation of the closed-loop behavior with affine dependence on the scheduling variables is achieved. This representation allows to apply Finsler's Lemma for deriving exact stability, as well as exact quadratic performance conditions. A DK-iteration based solution is carried out to synthesize the controller. The main results are illustrated by a numerical example. (C) 2017 Elsevier Ltd. All rights reserved.
引用
收藏
页码：282 / 289
页数：8
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