H∞-Norm Evaluation of Transfer Matrices of Dynamical Systems via Extended Balanced Singular Perturbation Method

Hasan Gündüz; Mesut Karabacak; Ercan Celık

Makale detayları

H∞-Norm Evaluation of Transfer Matrices of Dynamical Systems via Extended Balanced Singular Perturbation Method

Yazarlar:

Hasan Gündüz | Mesut Karabacak | Ercan Celık

Yayıncı:

Gazi University

Ana Başlıklar:

Numerical Analysis | Ordinary Differential Equations | Difference Equations and Dynamical Systems | Calculus of Variations | Mathematical Aspects of Systems Theory and Control Theory

Dergi:

Gazi University Journal of Science Vol.38 Issue 1, pp.305-314

Belge Tipi:

Makale

Yayın Tarihi:

1/2025

Belge Dili:

İngilizce

Document ID (Org No.):

2001341133

pISSN:

2147-1762

Anahtar kelimeler:

Özet:

 In this paper, we use a hybrid approach known as the extended balanced singular perturbation technique to compute the H_-norm of a transfer matrix of a dynamical system. The transfer matrixs order is first reduced using the balanced truncation approach, and its H_-norm is then found using the singular perturbation method. Both the singular perturbation technique and the balanced truncation approach methods are provided with computer algebraic instructions. The method is then applied to a decentralized interconnected system, and the error analysis of the solution is investigated.

 In this paper, we use a hybrid approach known as the extended balanced singular perturbation technique to compute the H_-norm of a transfer matrix of a dynamical system. The transfer matrixs order is first reduced using the balanced truncation approach, and its H_-norm is then found using the singular perturbation method. Both the singular perturbation technique and the balanced truncation approach methods are provided with computer algebraic instructions. The method is then applied to a decentralized interconnected system, and the error analysis of the solution is investigated.

 In this paper, we use a hybrid approach known as the extended balanced singular perturbation technique to compute the H_-norm of a transfer matrix of a dynamical system. The transfer matrixs order is first reduced using the balanced truncation approach, and its H_-norm is then found using the singular perturbation method. Both the singular perturbation technique and the balanced truncation approach methods are provided with computer algebraic instructions. The method is then applied to a decentralized interconnected system, and the error analysis of the solution is investigated.

 In this paper, we use a hybrid approach known as the extended balanced singular perturbation technique to compute the H_-norm of a transfer matrix of a dynamical system. The transfer matrixs order is first reduced using the balanced truncation approach, and its H_-norm is then found using the singular perturbation method. Both the singular perturbation technique and the balanced truncation approach methods are provided with computer algebraic instructions. The method is then applied to a decentralized interconnected system, and the error analysis of the solution is investigated.

Makale detayları

H∞-Norm Evaluation of Transfer Matrices of Dynamical Systems via Extended Balanced Singular Perturbation Method

Yazarlar:

Hasan Gündüz | Mesut Karabacak | Ercan Celık

Yayıncı:

Gazi University

Ana Başlıklar:

Numerical Analysis | Ordinary Differential Equations | Difference Equations and Dynamical Systems | Calculus of Variations | Mathematical Aspects of Systems Theory and Control Theory

Dergi:

Gazi University Journal of Science Vol.38 Issue 1, pp.305-314

Belge Tipi:

Makale

Yayın Tarihi:

1/2025

Belge Dili:

İngilizce

Document ID (Org No.):

2001341133

pISSN:

2147-1762

H∞-control

Balanced truncation approach

Model order reduction

Extended balanced singular perturbation method

Sayı

Makale detayları

H∞-Norm Evaluation of Transfer Matrices of Dynamical Systems via Extended Balanced Singular Perturbation Method

Yazarlar: Hasan Gündüz | Mesut Karabacak | Ercan Celık

Yayıncı: Gazi University

Ana Başlıklar: Numerical Analysis | Ordinary Differential Equations | Difference Equations and Dynamical Systems | Calculus of Variations | Mathematical Aspects of Systems Theory and Control Theory

Dergi: Gazi University Journal of Science Vol.38 Issue 1, pp.305-314

Belge Tipi: Makale

Yayın Tarihi: 1/2025

Belge Dili: İngilizce

Document ID (Org No.): 2001341133

pISSN: 2147-1762

H∞-control

Balanced truncation approach

Model order reduction

Extended balanced singular perturbation method

Sayı

Yazarlar:

Hasan Gündüz | Mesut Karabacak | Ercan Celık

Yayıncı:

Gazi University

Ana Başlıklar:

Numerical Analysis | Ordinary Differential Equations | Difference Equations and Dynamical Systems | Calculus of Variations | Mathematical Aspects of Systems Theory and Control Theory

Dergi:

Gazi University Journal of Science Vol.38 Issue 1, pp.305-314

Belge Tipi:

Makale

Yayın Tarihi:

1/2025

Belge Dili:

İngilizce

Document ID (Org No.):

2001341133

pISSN:

2147-1762