Paper Info
Title
Chattering Analysis of HOSM Controlled Systems: Frequency Domain Approach.
Abstract
In this article, a methodology of chattering analysis of Sliding Mode/Higher Order Sliding Mode (SM/HOSM) control systems in the frequency domain is presented. A numerical method for computing the Describing Functions (DFs) of HOSM control algorithms is given. The algorithm for predicted chattering parameters in dynamically perturbed system via the Describing Function-Harmonic Balance (DF-HB) technique is proposed. The stability conditions for limit cycles in dynamically perturbed HOSM control systems are presented. The concepts of Practical Stability Phase Margin (PSPM) and Practical Stability Gain Margin (PSGM) as the robustness metrics to unmodeled dynamics in HOSM control systems are introduced. The methodologies for computing PSPM and PSGM via DF-HB technique are provided. The accuracy of the proposed chattering analysis techniques is confirmed via computer simulations.
Year
DOI
Venue
2017
10.1109/TAC.2016.2619559
IEEE Trans. Automat. Contr.
Keywords
Field
DocType
Frequency-domain analysis,Algorithm design and analysis,Stability analysis,Heuristic algorithms,Prediction algorithms,Limit-cycles,Control systems
Frequency domain,Describing function,Mathematical optimization,Algorithm design,Control theory,Computer science,Stability conditions,Robustness (computer science),Phase margin,Control system,Numerical analysis
Journal
Volume
Issue
ISSN
62
8
0018-9286
Citations 
PageRank 
References 
4
0.54
13
Authors
4
Name
Order
Citations
PageRank
antonio rosales1215.44
Yuri B. Shtessel236951.65
Leonid M. Fridman31999211.93
Chandrasekhara B. Panathula4212.93