Title :
Robust non-fragile stabilization and D-stabilization for delta operator uncertain systems
Author :
Xiao, Minqing ; Cao, Changxiu
Author_Institution :
Sch. of Math. & Comput. Sci., Fujian Normal Univ., Fuzhou
Abstract :
The aim of this note is to study robust non-fragile stabilization and robust non-fragile D-stabilization for the delta-operator formulated linear uncertain systems. The uncertainty is assumed to be norm-bounded and multiplicative controller gain variations are assumed in existence in the state feedback gain. Based on the notion of non-fragile quadratic stabilizability, a criterion of robust non-fragile stabilizability is derived in term of linear matrix inequality(LMI), and then the design methods of the state feedback controllers for robust non-fragile stabilization and for robust non-fragile D-stabilization are suggested respectively. A numerical example is included to illustrate the design methods.
Keywords :
linear matrix inequalities; stability; state feedback; uncertain systems; delta operator uncertain systems; delta-operator formulated linear uncertain systems; linear matrix inequality; multiplicative controller gain; nonfragile quadratic stabilizability; norm-bounded controller gain; robust nonfragile D-stabilization; robust nonfragile stabilization; state feedback controller; Automation; Computer science; Control systems; Design methodology; Intelligent control; Mathematics; Robust control; Robustness; State feedback; Uncertain systems; D-stabilization; delta operator system; multiplicative controller gain variation; robust non-fragile control;
Conference_Titel :
Intelligent Control and Automation, 2008. WCICA 2008. 7th World Congress on
Conference_Location :
Chongqing
Print_ISBN :
978-1-4244-2113-8
Electronic_ISBN :
978-1-4244-2114-5
DOI :
10.1109/WCICA.2008.4594617