Local sliding mode control design for a class of second-order systems with friction

Sliding mode control (SMC) design technique is a well-known control design method to cope with disturbance and uncertainty. This paper considers a new sliding model design technique for a class of second-order systems which are acted by friction force. Comparing to the global sliding model design technique, it designs the sliding mode for a specific sliding region. Outside the sliding region, the sliding motion may not occur. The criterion to check the reachability of the sliding region is also provided. Numerical examples are given to illustrate the difference between the local sliding mode control design and the global sliding mode control design.

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