Paper Info
Title
An asymptotically exact LMI solution to the robust discretisation of LTI systems with polytopic uncertainties and its application to sampled-data control
Abstract
In this paper, the problem of robust discretisation of linear time-invariant LTI systems with polytopic uncertainties is introduced. More specifically, the main objective is to provide a systematic way to find an approximate discrete-time DT model of a continuous-time CT plant with uncertainties in polytopic domain. The system matrices of polytopic DT model to be found are expressed as parameter-dependent matrices which are homogeneous polynomials of arbitrary degree with respect to the uncertain variables in the simplex, and is obtained in such a way that the norm between the system matrices and the truncated power series of the exact DT model is minimised while preserving the polytopic structure of the original CT plant. The solution procedures proposed are presented in terms of single-parameter minimisation problems subject to linear matrix inequality LMI constraints which are numerically tractable via LMI solvers. Finally, examples are given to show the validity and effectiveness of the proposed techniques.
Year
DOI
Venue
2015
10.1080/00207721.2013.878411
International Journal of Systems Science
Keywords
Field
DocType
discretisation
Discretization,Mathematical optimization,Polynomial,Control theory,Matrix (mathematics),Simplex,Minimisation (psychology),Data control,Power series,Linear matrix inequality,Mathematics
Journal
Volume
Issue
ISSN
46
15
0020-7721
Citations 
PageRank 
References 
0
0.34
13
Authors
3
Name
Order
Citations
PageRank
Dong Hwan Lee123813.23
Young Hoon Joo273876.87
Myung Hwan Tak3342.76