Sliding mode control for unmatched uncertain systems with totally invariant property and exponential stability

Abstract

Some sliding mode controllers for unmatched uncertain systems are proposed. They are based on the concept of totally invariant controllers, introduced by Shyu and Hung (1997), in which the system, in the sliding mode, is invariant to the matched uncertainty over all time. In this paper, we extend this idea to a class of unmatched uncertain variable structure systems. New sliding mode controllers are derived to guarantee the existence of the sliding mode. Totally invariant property and exponential stability are assured.

Key words:

• unmatched uncertainty
• sliding mode control
• totally invariant property
• exponential stability

Notes

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