Title :
Stabilization of nonlinear systems by means of state estimate feedback
Author :
Delepaut, Christophe ; Bastin, Georges ; GEVERS, Michel
Author_Institution :
Lab. d´´Autom., Dynamique et Anal. des Syst., Catholic Univ. of Louvain, Belgium
Abstract :
An output feedback regulator that is based on an extended Luenberger observer design is considered. It concerns the class of SISO (single-input, single-output) exponentially stabilizable and locally observable nonlinear systems. The state estimate used to implement a suitable regulation law is proved to lead to exponential stability around the origin: a quadratic Lyapunov function is obtained and a convergence domain is characterized. The stability analysis only deals with a full-order observer. However, the Lyapunov analysis is readily extended to the reduced-order case when the output is a component of the state
Keywords :
feedback; nonlinear control systems; stability; state estimation; Lyapunov analysis; convergence domain; extended Luenberger observer; locally observable; nonlinear control systems; output feedback regulator; quadratic Lyapunov function; stabilisation; state estimate feedback; Closed loop systems; Convergence; Design methodology; Linearity; Nonlinear dynamical systems; Nonlinear systems; Observers; Stability analysis; State estimation; State feedback;
Conference_Titel :
Decision and Control, 1989., Proceedings of the 28th IEEE Conference on
Conference_Location :
Tampa, FL
DOI :
10.1109/CDC.1989.70284
