A globally stable algorithm for the integration of high-index differential-algebraic systems
File(s)
Accepted version
Author(s)
Di Franco, Pierluigi
Scarciotti, Giordano
Astolfi, Alessandro
Type
Journal Article
Abstract
The problem of constraint stabilization and numerical integration for differential-algebraic systems is addressed using Lyapunov theory. It is observed that the application of stabilization methods which rely on a linear feedback mechanism to nonlinear systems may result in trajectories with finite escape time. To overcome this problem we propose a method based on a nonlinear stabilization mechanism which guarantees the global existence and convergence of the solutions. Discretization schemes, which preserve the properties of the method, are also presented. The results are illustrated by means of the numerical integration of a slider-crank mechanism.
Date Issued
2020-05
Date Acceptance
2019-08-18
Citation
IEEE Transactions on Automatic Control, 2020, 65 (5), pp.2107-2122
ISSN
0018-9286
Publisher
Institute of Electrical and Electronics Engineers (IEEE)
Start Page
2107
End Page
2122
Journal / Book Title
IEEE Transactions on Automatic Control
Volume
65
Issue
5
Copyright Statement
© 2019 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
Sponsor
Commission of the European Communities
Identifier
https://ieeexplore.ieee.org/document/8825506
Grant Number
664639
Subjects
Science & Technology
Technology
Automation & Control Systems
Engineering, Electrical & Electronic
Engineering
Indexes
Mathematical model
Manifolds
Stability analysis
Control theory
Mechanical systems
Nonlinear systems
Constraint stabilization
differential-algebraic systems
nonlinear systems
numerical integration
FEEDBACK STABILIZATION
CONSTRAINT VIOLATION
NUMERICAL-SIMULATION
LYAPUNOV THEOREM
ZERO DYNAMICS
EQUATIONS
ELIMINATION
DAES
0102 Applied Mathematics
0906 Electrical and Electronic Engineering
0913 Mechanical Engineering
Industrial Engineering & Automation
Publication Status
Published
Date Publish Online
2019-09-05