Guaranteeing Stability in Structured Input-Output Models: With Application to System Identification

被引：0

作者：

Kon, Johan ^{[1
]}

Toth, Roland ^{[2
,3
]}

van de Wijdeven, Jeroen ^{[4
]}

Heertjes, Marcel ^{[1
,5
]}

Oomen, Tom ^{[1
,6
]}

机构：

[1] Eindhoven Univ Technol, Dept Mech Engn, Control Syst Technol Grp, NL-5611 XB Eindhoven, Netherlands

[2] Eindhoven Univ Technol, Control Syst Grp, Elect Engn, NL-5611 XB Eindhoven, Netherlands

[3] HUN REN Inst Comp Sci & Control, Syst & Control Lab, H-1111 Budapest, Hungary

[4] ASML, ASML Res, NL-5504 DR Veldhoven, Netherlands

[5] ASML, D&E Mechatron & Measurements Syst, NL-5504 DR Veldhoven, Netherlands

[6] Delft Univ Technol, Delft Ctr Syst & Control, NL-2628 CD Delft, Netherlands

来源：

IEEE CONTROL SYSTEMS LETTERS | 2024年 / 8卷

关键词：

Stability criteria; Mathematical models; Linear systems; System identification; Linear matrix inequalities; Computational modeling; Standards; stability; linear parameter-varying systems; transfer functions;

D O I：

10.1109/LCSYS.2024.3410143

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Identifying structured discrete-time linear time/parameter-varying (LPV) input-output (IO) models with global stability guarantees is a challenging problem since stability for such models is only implicitly defined through the solution of matrix inequalities (MI) in terms of the model's coefficient functions. In this letter, a structured linear IO model class is developed that results in a quadratically stable model for any choice of coefficient functions, enabling identification using standard optimization routines while guaranteeing stability. This is achieved through transforming the MI-based stability constraints in a necessary and sufficient manner, such that for any choice of transformed coefficient functions the MIs are satisfied. The developed stable LPV-IO model is employed in simulation to estimate the parameter-varying damping of mass-damper-spring system with stability guarantees, while a standard LPV-IO model results in an unstable estimate.

引用

页码：1565 / 1570

页数：6

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