Title
Analysis Of A Multirate Sampled-Data Implementation Of A Continuous-Time, Sliding-Mode Observer/Controller Pair
Abstract
An approach for closed-loop stability analysis of sampled-data implementations of control systems with Lipschitz-continuous non-linear elements is applied to a sliding-mode-based observer/controller pair. The stability analysis involves the evaluation of a finite horizon integral obtained from an L-2-type analysis. This results in stability constraints involving matrix inequalities. The conditions raised can be satisfied for sufficiently fast sampling. The technique allows for incorporation of multiple sampling frequencies. Two sampling frequencies have been considered for the sliding-mode controller, a fast output sampling frequency and a slower controller sampling frequency. A numerical example illustrates some characteristics of the approach.
Year
DOI
Venue
2004
10.1080/00207720410001668736
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
Keywords
Field
DocType
sampling frequency,control system,lipschitz continuity,satisfiability,stability analysis
State observer,Control theory,Mathematical optimization,Nonlinear system,Control theory,Sampling (signal processing),Sampling (statistics),Discrete time and continuous time,Control system,Observer (quantum physics),Mathematics
Journal
Volume
Issue
ISSN
35
2
0020-7721
Citations 
PageRank 
References 
0
0.34
2
Authors
3
Name
Order
Citations
PageRank
Guido Herrmann1323.89
sarah k spurgeon2585.94
christopher edwards381289.97