Abstract:

The stabilization problem of a linear dynamical system in face of uncertainty and disturbance is studied. A new control strategy based on Lyapunov direct method is developed which exhibits the following properties: 1)unlike the existing work where the possible norm bounds of the uncertainty and disturbance are to be given a priori or estimated, the control does not rely on such information, 2)the control is a continuous type, which therefore obviates the undesirable phenomenon known as chattering in VSC systems, 3) the control guarantees the system asymptotically stable, rather than ultimate boundness. Moreover, the procedure for designing the controller is very simple, which is shown through two numerical examples.

Key words: disturbance, uncertainty, norm bound, stable