Open AccessImproved relaxation method for control design of non‐homogeneous Markovian jump fuzzy systems with general transition descriptions
Author(s) -
Kim Sung Hyun
Publication year - 2018
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2017.0465
Subject(s) - relaxation (psychology) , homogeneous , jump , fuzzy logic , control theory (sociology) , transition (genetics) , markov process , mathematics , class (philosophy) , computer science , key (lock) , control (management) , statistical physics , artificial intelligence , physics , psychology , social psychology , biochemistry , chemistry , statistics , computer security , quantum mechanics , gene , combinatorics
The aim of this study is to develop an improved relaxation technique (especially in terms of conservatism and computational complexity) for the control design of a class of non‐homogeneous Markovian jump fuzzy systems with general transition descriptions. With this point of view, novel component‐summation‐based constraints are introduced to stringently establish the overall constraints on completely unknown transition rates, which play a key role in making relaxation techniques less conservative. Further, to reduce the computational complexity of relaxation processes with multiple slack variables, this study provides a method of replacing all self‐mode‐transitions with other transitions.