On Switched Control Design of Linear Time-Invariant Systems with Polytopic Uncertainties

Abstract EN

This paper proposes a new switched control design method for some classes of linear time-invariant systems with polytopic uncertainties.

This method uses a quadratic Lyapunov function to design the feedback controller gains based on linear matrix inequalities (LMIs).

The controller gain is chosen by a switching law that returns the smallest value of the time derivative of the Lyapunov function.

The proposed methodology offers less conservative alternative than the well-known controller for uncertain systems with only one state feedback gain.

The control design of a magnetic levitator illustrates the procedure.