Reduced Order Modeling Using Singular Perturbation Method

被引：0

作者：

Safiullah ^{[1
]}

Gupta, Yogesh Kumar ^{[1
]}

Prajapati, Bhagat Singh ^{[1
]}

机构：

[1] Hindustan Inst Technol & Management AKTU Lucknow, Elect & Elect Engn, Agra, Uttar Pradesh, India

来源：

2018 INTERNATIONAL CONFERENCE ON POWER ENERGY, ENVIRONMENT AND INTELLIGENT CONTROL (PEEIC) | 2018年

关键词：

singular perturbation method (SPM); eigen value; controllable canonical form (CCF); model order reduction; stability; relative integral square error (RISE); REDUCTION; SYSTEMS;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Model order reduction has been done of linear time invariant (LTI) systems by utilization of Singular Perturbation Method (SPM). In this method Eigen values of full order original system are divided into "slow" and "fast" subsystems depending on the dominating and non-dominating Eigen values. First of all the system matrices A, B, C and D are transformed into Controllable Canonical Form (CCF) as the partition matrix A(22) must be non singular. The result obtained using proposed method is almost same as that of full order system and comparable with other popular methods of model order reduction. Singular perturbation method also retains the stability of original higher order system. The effectiveness of this technique is illustrated by taking one example.

引用

页码：6 / 9

页数：4

共 50 条

[21] High order parameter uniform numerical method for singular perturbation problems
Patidar, Kailash C.
APPLIED MATHEMATICS AND COMPUTATION, 2007, 188 (01) : 720 - 733
[22] A new modeling approach to single-link flexible manipulator using singular perturbation method
Karimi, H. R.
Yazdanpanah, M. J.
ELECTRICAL ENGINEERING, 2006, 88 (05) : 375 - 382
[23] Fourth-order accurate difference method for the singular perturbation problem
Chuanhan L.
Applied Mathematics and Mechanics, 1997, 18 (10) : 987 - 995
[24] Reduced Order Modeling of a Microgripper Using SVD-Second-Order Krylov Method
Guha, Paramita
Nabi, Mashuq Un
INTERNATIONAL JOURNAL FOR COMPUTATIONAL METHODS IN ENGINEERING SCIENCE & MECHANICS, 2015, 16 (02): : 65 - 70
[25] A singular perturbation model order reduction method for a specially structured model
Agili, SS
Ansary, O
Mossayebi, F
JOURNAL OF VIBRATION AND CONTROL, 2004, 10 (02) : 309 - 316
[26] The System Order Reduction via Balancing in View of the Method of Singular Perturbation
Skataric, Dobrila
Kovacevic, Nada Ratkovic
FME TRANSACTIONS, 2010, 38 (04): : 181 - 187
[27] Fourth-order accurate difference method for the singular perturbation problem
Liu, CH
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 1997, 18 (10) : 987 - 995
[28] FOURTH-ORDER ACCURATE DIFFERENCE METHOD FOR THE SINGULAR PERTURBATION PROBLEM
刘传汉
AppliedMathematicsandMechanics(EnglishEdition), 1997, (10) : 987 - 995
[29] SINGULAR PERTURBATION METHOD FOR REDUCING MODEL ORDER IN OPTIMAL CONTROL DESIGN
KOKOTOVI.PV
SANNUTI, P
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1968, AC13 (04) : 377 - &
[30] A new modeling approach to single-link flexible manipulator using singular perturbation method
H. R. Karimi
M. J. Yazdanpanah
Electrical Engineering, 2006, 88 : 375 - 382

← 1 2 3 4 5 →