Title
Multi-objective linear-programming-based four-judgment algorithm for linear bounded noise system modeling
Abstract
A multi-objective linear-programming-based four-judgment modeling algorithm is proposed for an unknown but bounded noise system. Because there is no prior knowledge about the bounded noise term, during each recursive step, the noise signal is warped in a strip and the hyperplanes can be obtained by samples of input and output signals. The feasible parameter set of a linear discrete-time system with bounded noise, viewed as a convex polytope, is transformed into a polyhedral cone with increasing parameter dimension. One of the vertices of the polyhedral cone is the origin, and the polyhedral vertices can be calculated when the polyhedral cone edge vectors are determined. Moreover, by adopting the multi-objective linear programming idea, a four-judgment modeling algorithm is proposed for linear discrete-time systems. The given simulations illustrate the feasibility and effectiveness of the given algorithm.
Year
DOI
Venue
2020
10.1016/j.jfranklin.2020.02.041
Journal of the Franklin Institute
DocType
Volume
Issue
Journal
357
9
ISSN
Citations 
PageRank 
0016-0032
0
0.34
References 
Authors
0
5
Name
Order
Citations
PageRank
Ziyun Wang100.34
Shuai Zhang23711.44
Ju H. Park35878330.37
Yan Wang416828.11
Zhicheng Ji5347.59