Paper Info
Title
Analysis And Design Of Systems Driven By Finite-Time Convergent Controllers: Practical Stability Approach
Abstract
A concept of the practical stability margins for systems driven by finite-time convergent (FTC) controllers, including sliding-mode/higher order sliding-mode (HOSM) controllers, is proposed. These margins are based on the system's tolerance to self-sustained oscillations with certain amplitude and frequency limits. The practical stability margins are introduced as the maximal gain increase or/and the maximal phase lag added to the frequency characteristic of the linear part of the open-loop system that yields acceptable loss of system's stability/performance in terms of admissible parameters of self-sustaining oscillations. It is proposed using the describing function-harmonic balance technique for the identification of the practical stability margins. To ensure the desired practical stability margins, linear dynamics compensators are designed and added in cascade to FTC controllers. The proposed approach is verified on numerous examples.
Year
DOI
Venue
2018
10.1080/00207179.2016.1255354
INTERNATIONAL JOURNAL OF CONTROL
Keywords
Field
DocType
Finite-time convergence, sliding-mode control, frequency-domain analysis, stability margins
Phase lag,Mathematical optimization,Oscillation,Stability margin,Control theory,Cascade,Frequency characteristic,Amplitude,Mathematics,Finite time,Sliding mode control
Journal
Volume
Issue
ISSN
91
11
0020-7179
Citations 
PageRank 
References 
0
0.34
8
Authors
3
Name
Order
Citations
PageRank
antonio rosales1215.44
Yuri B. Shtessel236951.65
Leonid M. Fridman31999211.93