DocumentCode
1813204
Title
A quadratically semi-global control approach for nonlinear systems
Author
Liu, Kang-Zhi
Author_Institution
Dept. of Electr. & Mech. Eng., Chiba Univ., Japan
Volume
3
fYear
1999
fDate
1999
Firstpage
2477
Abstract
In this paper, a quadratically semi-global control method is proposed which is a natural extension of the traditional gain-scheduling approach to nonlinear systems. The basic idea is to quadratically stabilize nonlinear systems with time-varying linear control for prescribed region of initial states based on the Lyapunov theory and robust control approach. A linear matrix inequality-type necessary and sufficient condition is derived, under which exponential stability is guaranteed for initial states in a prescribed set
Keywords
Lyapunov methods; asymptotic stability; linear quadratic control; matrix algebra; nonlinear systems; robust control; Lyapunov theory; exponential stability; gain-scheduling; linear matrix inequality; linear quadratical control; nonlinear systems; reference trajectory; robust control; Control systems; Error correction; Gold; Nonlinear control systems; Nonlinear dynamical systems; Nonlinear systems; Stability; Time varying systems; Trajectory; Uncertainty;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 1999. Proceedings of the 38th IEEE Conference on
Conference_Location
Phoenix, AZ
ISSN
0191-2216
Print_ISBN
0-7803-5250-5
Type
conf
DOI
10.1109/CDC.1999.831297
Filename
831297
Link To Document