Title :
Robust Control Designed by Composition of Lyapunov Functions
Author :
Qu, Zhihua ; Dorsey, John
Author_Institution :
Electrical Engineering Department, University of Central Florida, Orlando, FL 32816, USA.
Abstract :
A new method of designing a robust control law is proposed for a general class of nonlinear or linear systems with bounded uncertainties. The method uses the property that the Lyapunov function is not unique for a stable or stabilizable system. It is shown that the proposed control law normally guarantees the stability of the system if there are two Lyapunov functions whose null sets have a trivial intersection. The results require no knowledge about the structure and size of the input-unrelated uncertainties. Moreover, it is shown that asymptotic stabilisation of the nominal system is not necessarily required in this method.
Keywords :
Control systems; Design methodology; Differential equations; Feedback; Linear systems; Lyapunov method; Robust control; Robust stability; Uncertain systems; Uncertainty; Lyapunov stability; Robust control; nonlinear ordinary differential equations; stabilization by feedback; uncertain systems;
Conference_Titel :
American Control Conference, 1991
Conference_Location :
Boston, MA, USA
Print_ISBN :
0-87942-565-2