Title
Robust stability analysis of discrete-time systems using genetic algorithms
Abstract
We reduce stability robustness analysis for linear, time-invariant, discrete-time systems to a search problem and attack the problem using genetic algorithms. We describe the problem framework and the modifications that needed to be made to the canonical genetic algorithm for successful application to robustness analysis. Our results show that genetic algorithms can successfully test a sufficient condition for instability in uncertain linear systems with nonlinear polynomial structures. Three illustrative examples demonstrate the new approach
Year
DOI
Venue
1999
10.1109/3468.784176
Systems, Man and Cybernetics, Part A: Systems and Humans, IEEE Transactions
Keywords
Field
DocType
discrete time systems,genetic algorithms,linear systems,robust control,search problems,uncertain systems,canonical genetic algorithm,linear time-invariant discrete-time systems,nonlinear polynomial structures,robust stability analysis,sufficient condition,uncertain linear systems
Mathematical optimization,Linear system,Control theory,Computer science,Robustness (computer science),Genetic representation,Discrete time and continuous time,Search problem,Robust control,Quality control and genetic algorithms,Genetic algorithm
Journal
Volume
Issue
ISSN
29
5
1083-4427
Citations 
PageRank 
References 
11
0.92
7
Authors
3
Name
Order
Citations
PageRank
Fadali, M.S.1110.92
Yongmian Zhang238118.78
Louis, S.J.3110.92