Premium
STABILIZATION AND H ∞ CONTROL FOR UNCERTAIN STOCHASTIC TIME‐DELAY SYSTEMS VIA NON‐FRAGILE CONTROLLERS
Author(s) -
Xu Shengyuan,
Lam James,
Yang GuangHong,
Wang Jianliang
Publication year - 2006
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1111/j.1934-6093.2006.tb00270.x
Subject(s) - control theory (sociology) , multiplicative function , bounded function , h infinity methods in control theory , norm (philosophy) , linear matrix inequality , controller (irrigation) , mathematics , state (computer science) , full state feedback , robust control , control (management) , mathematical optimization , computer science , control system , engineering , algorithm , law , mathematical analysis , agronomy , electrical engineering , artificial intelligence , political science , biology
ABSTRACT This paper considers the problems of robust non‐fragile stochastic stabilization and H ∞ control for uncertain time‐delay stochastic systems with time‐varying norm‐bounded parameter uncertainties in both the state and input matrices. Attention is focused on the design of memoryless state feedback controllers which are subject to norm‐bounded uncertainties. For both the cases of additive and multiplicative controller uncertainties, delay‐independent sufficient conditions for the solvability of the above problems are obtained. The desired state feedback controller can be constructed by solving a certain linear matrix inequality.