Title: Sliding mode controllers for second order and extended Heisenberg systems

 

Author: Mohammad Reza Zarrabi; Mohammad Hadi Farahi; Sohrab Effati; Ali J. Koshkouei

 

Addresses:
Department of Applied Mathematics, Ferdowsi University of Mashhad, P.O. Box 1159-91775, Mashhad, Iran.
Department of Applied Mathematics, Ferdowsi University of Mashhad, P.O. Box 1159-91775, Mashhad, Iran.
Department of Applied Mathematics, Ferdowsi University of Mashhad, P.O. Box 1159-91775, Mashhad, Iran.
Control Theory and Applications Centre, Coventry University, Coventry CV1 5FB, UK

 

Journal: Int. J. of Modelling, Identification and Control, 2012 Vol.16, No.4, pp.345 - 352

 

Abstract: This paper presents a method to design an SMC for extended Heisenberg systems which is a class of non-linear systems. To stabilise the system with the proposed SMC, some sufficient conditions are introduced. In fact, the system stability is achieved using an appropriate Lyapunov equation. To illustrate the theoretical results, three examples are presented.

 

Keywords: sliding mode control; SMC; extended Heisenberg systems; sliding surface; stabilisation; Lyapunov function; second order Heisenberg systems; nonlinear systems.

 

DOI: http://dx.doi.org/10.1504/IJMIC.2012.048267

 

Available online 25 Jul 2012

 

 

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