Robust control guaranteeing uniform ultimate boundedness for a class of mismatched uncertain parabolic distributed parameter systems

Abstract

The robust control problem for a class of mismatched uncertain parabolic distributed parameter systems is studied under conditions of the uncertain terms being norm-bounded. The proposed robust controller can guarantee the system states to be the uniform ultimate boundedness, and their bound can be arbitrarily small. And, the proposed control method is successfully applied to a typical diffusion-reaction process with uncertain terms.