Title :
Non-fragile mixed H2/H∞ control for discrete-time system with multiplicative controller gain variations
Author :
Guan, Wei ; Guo, Xianggui
Author_Institution :
Sch. of Autom., Shenyang Aerosp. Univ., Shenyang, China
Abstract :
This paper is concerned with the problem of a non-fragile mixed H2/H∞ controller design for linear discrete-time systems in the presence of multiplicative controller gain variations. The purpose of work is to design a dynamic output feedback controller via matrix inequalities such that the closed-loop system is asymptotically stable and has mixed H2/H∞ performance criterions. Further, the result can be easily extended to robust non-fragile mixed H2/H∞ dynamic output feedback controller design for the convex polytopic uncertain discrete system via the affine characteristic of matrix inequality. Two numerical examples are given to illustrate the design procedure and its effectiveness.
Keywords :
H∞ control; affine transforms; asymptotic stability; closed loop systems; control system synthesis; discrete time systems; linear systems; matrix algebra; robust control; uncertain systems; affine characteristic; asymptotically stable system; closed-loop system; convex polytopic uncertain discrete system; dynamic output feedback controller; linear discrete-time systems; matrix inequalities; multiplicative controller gain variations; nonfragile mixed H2-H∞ controlller design; robust controller; Aerodynamics; Degradation; Linear matrix inequalities; Output feedback; Robustness; Symmetric matrices; Uncertainty;
Conference_Titel :
Control and Decision Conference (CCDC), 2011 Chinese
Conference_Location :
Mianyang
Print_ISBN :
978-1-4244-8737-0
DOI :
10.1109/CCDC.2011.5968239