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Mathematical Problems in Engineering
Volume 8, Issue 4-5, Pages 451-473
http://dx.doi.org/10.1080/10241230306724

Sliding mode control on electro-mechanical systems

1Departments of Electrical and Mechanical Engineering, The Ohio State University, Columbus 43210, OH, USA
2Department of Mechanical Engineering, The Ohio State University, Columbus 43210, OH, USA

Received 13 May 2002

Copyright © 2002 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The first sliding mode control application may be found in the papers back in the 1930s in Russia. With its versatile yet simple design procedure the methodology is proven to be one of the most powerful solutions for many practical control designs. For the sake of demonstration this paper is oriented towards application aspects of sliding mode control methodology. First the design approach based on the regularization is generalized for mechanical systems. It is shown that stability of zero dynamics should be taken into account when the regular form consists of blocks of second-order equations. Majority of applications in the paper are related to control and estimation methods of automotive industry. New theoretical methods are developed in the context of these studies: sliding made nonlinear observers, observers with binary measurements, parameter estimation in systems with sliding mode control.