Title :
A quadratically semi-global control approach for nonlinear systems
Author_Institution :
Dept. of Electr. & Mech. Eng., Chiba Univ., Japan
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;
Conference_Titel :
Decision and Control, 1999. Proceedings of the 38th IEEE Conference on
Conference_Location :
Phoenix, AZ
Print_ISBN :
0-7803-5250-5
DOI :
10.1109/CDC.1999.831297
