Title :
A separation principle for the control of a class of nonlinear systems
Author :
Atassi, A.N. ; Khalil, H.K.
Author_Institution :
Dept. of Electr. Eng., Michigan State Univ., East Lansing, MI, USA
Abstract :
We give a general formulation of a number of control problems. This formulation considers a wide class of systems and any globally bounded state feedback controller that renders a certain compact set positively invariant and asymptotically attractive. We develop a converse Lyapunov theorem, and we prove that, by implementing the control law using a high-gain observer, we can recover asymptotic stability of the attractive set, its region of attraction, and trajectories
Keywords :
Lyapunov methods; asymptotic stability; convergence; nonlinear control systems; set theory; state feedback; asymptotically attractive set; converse Lyapunov theorem; globally bounded state feedback controller; high-gain observer; nonlinear systems; positively invariant set; region of attraction; separation principle; Asymptotic stability; Control systems; Convergence; H infinity control; Lyapunov method; Nonlinear control systems; Nonlinear systems; Output feedback; State feedback;
Conference_Titel :
Decision and Control, 1998. Proceedings of the 37th IEEE Conference on
Conference_Location :
Tampa, FL
Print_ISBN :
0-7803-4394-8
DOI :
10.1109/CDC.1998.760800
