A practical method for the design of sliding mode controllers using linear matrix inequalities

Authors:
Christopher Edwards
Affiliations:
Control and Instrumentation Group, Department of Engineering, University of Leicester, LE1 7RH, UK
Venue:
Automatica (Journal of IFAC)
Year:
2004

Citing 3
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Abstract

This paper considers the problem of selecting a sliding surface for a given system in an optimal way such that the performance of the reduced order system is balanced against the control costs required to maintain sliding. This approach is quite different from many of the existing schemes in the literature in which no direct account is taken of the control effort. Two new numerical schemes are presented both involving convex optimization problems. Three simple examples are given to demonstrate the theory.