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Mathematical Problems in Engineering - Volume 8 2002, Issue 4-5, Pages 349-365

Centro de Investigación y de Estudios Avanzados del IPN., Apdo. Postal 31-438, Plaza La Luna, C.P. 44550, Guadalajara, Jal, Mexico

Received 11 February 2002; Revised 12 March 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 paper examines the problem of sliding mode manifold design for uncertain nonlinear system with discontinuous control. The original plant first is decomposed such that the problem is divided into a number of simpler sub-problems. Then the block control recursive procedure is presented in which nonlinear sliding manifold is derived. Finally combined high gain and Lyapunov functions techniques are applied to establish hierarchy of the control gains and to estimate the upper bounds of the sliding mode equation solutions.





Author: Alexander G. Loukianov

Source: https://www.hindawi.com/



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