Finding Hankel singular values for singularly perturbed linear continuous-time systems

被引：2

作者：

Kodra, Kliti ^{[1
]}

Skataric, Maja ^{[2
]}

Gajic, Zoran ^{[1
]}

机构：

[1] Rutgers State Univ, Dept Elect & Comp Engn, 94 Brett Rd, Piscataway, NJ 08854 USA

[2] Schlumberger Doll Res Ctr, 1 Hampshire St, Cambridge, MA 02139 USA

来源：

IET CONTROL THEORY AND APPLICATIONS | 2017年 / 11卷 / 07期

关键词：

singularly perturbed systems; linear systems; continuous time systems; reduced order systems; Hankel singular values; singularly perturbed linear continuous-time systems; linear singularly perturbed systems; reduced-order problems; numerical ill-conditioning; singular perturbation parameter; system order reduction; ORDER REDUCTION; MODEL-REDUCTION; BALANCING TRANSFORMATIONS; LYAPUNOV EQUATION; APPROXIMATION; CONTROLLABILITY; STATE;

D O I：

10.1049/iet-cta.2016.1240

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This study presents an efficient algorithm for computing precisely the Hankel singular values of linear singularly perturbed systems. The algorithm is obtained in terms of reduced-order problems and avoids numerical ill-conditioning associated with singularly perturbed systems when the singular perturbation parameter is very small. The study compares the presented algorithm with the algorithm that exists in the control engineering literature and demonstrates its superiority. In addition, an analysis of system order reduction via balancing and singular perturbations is performed and it is concluded that the system order reduction via balancing is more general than the system order reduction obtained via the method of singular perturbations.

引用

页码：1063 / 1069

页数：7

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