Variable structure sliding mode control for a class of uncertain distributed parameter systems with time-varying delays

Abstract

This article considers sliding mode control of a class of parabolic linear uncertain distributed parameter systems with time-varying delays. The sliding mode controller design does not contain time delay terms and drives the state trajectory of the system to the sliding manifold in finite time. A sufficient condition of asymptotic stability for the sliding motion is derived. A simulation example is presented to illustrate effectiveness of the proposed method.

Keywords:

• distributed parameter systems
• uncertain
• sliding mode control
• time-varying delays

Acknowledgements

This work was supported in part by Postdoctoral Science Foundation of China under Grant No. 20070420368 and in part by National Natural Science Foundation of China under Grant No. 50376029.