NDLI: Uniform modeling of parameter dependent nonlinear systems

Content Provider	Springer Nature Link
Author	Eghbal, Najmeh Pariz, Naser Karimpour, Ali
Copyright Year	2012
Abstract	This paper addresses the problem of approximating parameter dependent nonlinear systems in a unified framework. This modeling has been presented for the first time in the form of parameter dependent piecewise affine systems. In this model, the matrices and vectors defining piecewise affine systems are affine functions of parameters. Modeling of the system is done based on distinct spaces of state and parameter, and the operating regions are partitioned into the sections that we call ‘multiplied simplices’. It is proven that this method of partitioning leads to less complexity of the approximated model compared with the few existing methods for modeling of parameter dependent nonlinear systems. It is also proven that the approximation is continuous for continuous functions and can be arbitrarily close to the original one. Next, the approximation error is calculated for a special class of parameter dependent nonlinear systems. For this class of systems, by solving an optimization problem, the operating regions can be partitioned into the minimum number of hyper-rectangles such that the modeling error does not exceed a specified value. This modeling method can be the first step towards analyzing the parameter dependent nonlinear systems with a uniform method.
Starting Page	850
Ending Page	858
Page Count	9
File Format	PDF
ISSN	18691951
Journal	Journal of Zhejiang University SCIENCE C
Volume Number	13
Issue Number	11
e-ISSN	1869196X
Language	English
Publisher	SP Zhejiang University Press
Publisher Date	2012-11-08
Publisher Place	Heidelberg
Access Restriction	Subscribed
Subject Keyword	Parameter dependent nonlinear systems Approximation method Parameter dependent piecewise affine systems Modeling Computer Systems Organization and Communication Networks Electrical Engineering Computer Science Communications Engineering, Networks Electronics and Microelectronics, Instrumentation Computer Hardware
Content Type	Text
Resource Type	Article
Subject	Engineering

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Non-uniform B-spline curveswith multiple shape parameters

Semantics ⊓ scalability ⊨ ⊥?

Multi-affine registration using local polynomial expansion

Erratum to: Dynamic task scheduling modeling in unstructured heterogeneous multiprocessor systems

Semantics and the crowd

A component-based aircraft instrument rapid modeling tool

On scalability of the Semantic Web

Recent advances of the Semantic Web

Moments and Pasek’s methods for parameter identification of a DC motor

Uniform modeling of parameter dependent nonlinear systems

Similar Documents

Non-uniform B-spline curveswith multiple shape parameters

Semantics ⊓ scalability ⊨ ⊥?

Multi-affine registration using local polynomial expansion

Erratum to: Dynamic task scheduling modeling in unstructured heterogeneous multiprocessor systems

Semantics and the crowd

A component-based aircraft instrument rapid modeling tool

On scalability of the Semantic Web

Recent advances of the Semantic Web

Moments and Pasek’s methods for parameter identification of a DC motor

Uniform modeling of parameter dependent nonlinear systems