Title
A novel robust non-fragile control approach for a class of uncertain linear systems with input constraints
Abstract
This paper addresses the non-fragile control problem for a class of uncertain linear systems subject to model uncertainty, controller perturbations, fault signals and input constraints. The controller to be designed is supposed to have additive gain perturbations. A novel state feedback controller is proposed based on the exact available expectation of a Bernoulli random variable, which is introduced to model the feature of the controller gain perturbation that randomly occurs. By using Lyapunov stability theory, new sufficient conditions are derived to design non-fragile controller for a class of uncertain linear systems considering input constraints. Compared with the existing non-fragile state feedback controller methods, the non-fragile property is fully considered to improve the tolerance of uncertainties in the controller, where the conservativeness can be reduced via the Bernoulli random variable. The effectiveness of the proposed control strategy is illustrated by two numerical examples.
Year
DOI
Venue
2019
10.1177/0142331218799835
TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL
Keywords
DocType
Volume
Linear systems,model uncertainty,non-fragile control,input constraints,linear matrix inequalities (LMIs)
Journal
41.0
Issue
ISSN
Citations 
SP8
0142-3312
0
PageRank 
References 
Authors
0.34
12
4
Name
Order
Citations
PageRank
Keke Shi100.68
Chuang Liu200.68
Sun Zhaowei3426.39
George Vukovich400.34