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Dissipative controller design for uncertain neutral systems with semi‐Markovian jumping parameters
Author(s) -
Xia Weifeng,
Xu Shengyuan,
Ma Qian,
Qi Zhidong,
Zhang Zhengqiang
Publication year - 2017
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/oca.2387
Subject(s) - control theory (sociology) , dissipative system , controller (irrigation) , norm (philosophy) , full state feedback , mathematics , stability (learning theory) , bounded function , set (abstract data type) , state (computer science) , linear matrix inequality , computer science , mathematical optimization , control (management) , mathematical analysis , physics , algorithm , law , quantum mechanics , artificial intelligence , machine learning , political science , agronomy , biology , programming language
Summary This paper is concerned with the problem of dissipative controller design for neutral systems with semi‐Markovian jumping parameters and norm‐bounded parameter uncertainties. First, a new stability criterion is obtained by applying a more accurate integral inequality and a delay‐partitioning approach, which is less conservative than those existing results. Second, based on the stability criterion, sufficient conditions for the existence of a state‐feedback controller, which ensures that the resulting closed‐loop system is stochastically stable and dissipative, are proposed. The controller gains can be obtained by using feasible solutions to a certain set of linear matrix inequalities. Finally, 2 numerical examples are provided to illustrate the effectiveness of the controller design method.