Abstract
The problem of robust stabilization of a class of time-varying dynamical systems with disturbance and uncertain parameters is considered. The bounds of the disturbance and uncertain parameters are assumed to be unknown. For such uncertain dynamical systems, a class of continuous adaptive robust state feedback controllers are proposed. It is shown that the resulting closed-loop dynamical systems are stable in the sense of uniform ultimate boundedness. A numerical example is given to demonstrate the synthesis procedure for adaptive stabilizing controller proposed in this paper. In particular, by making use of the conventional robust state feedback controllers reported in the control literature, one cannot stabilize the system given in this example. However, by employing the adaptive robust control scheme proposed in this paper, it is possible to stabilize this system.
