Estimation of sliding mode domains of uncertain variable structure systems with bounded controllers

The problem of estimating regions of asymptotic stability (RAS) of uncertain dynamical systems with bounded controllers and the sliding model requirement is discussed. The notion of combining different Lyapunov functions is utilized. Different Lyapunov functions are found, and for each Lyapunov func...

Full description

Saved in:
Bibliographic Details
Published in:IEEE transactions on automatic control 1990-04, Vol.35 (4), p.446-449
Main Authors: Madani-Esfahani, S.M., Hached, M., Zak, S.H.
Format: Article
Language:English
Subjects:
Applied sciences
Automatic control
Computer science
control theory
systems
Control system analysis
Control systems
Control theory. Systems
Estimation error
Exact sciences and technology
Filters
Lyapunov method
Sliding mode control
Stability
Target tracking
Variable structure systems
Viterbi algorithm
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The problem of estimating regions of asymptotic stability (RAS) of uncertain dynamical systems with bounded controllers and the sliding model requirement is discussed. The notion of combining different Lyapunov functions is utilized. Different Lyapunov functions are found, and for each Lyapunov function an estimate of the RAS is found. Different regions are combined in order to find an improved RAS. The combined region is not, in general, a convex region and cannot be found analytically by using just a single Lyapunov function. A class of uncertain, linear, time-invariant, multivariable control systems is considered, and a transformation for decoupling the system into two subsystems is used. The transformation simplifies the RAS estimation problem. Stability domains are estimated for a linear, variable-structure control system with sliding mode performance in the case of a discontinuous bounded controller.< >
ISSN:0018-9286
1558-2523
DOI:10.1109/9.52300