Reaching condition for variable-structure output feedback controller using a search technique

Abstract

The aim of this paper is to establish the reaching condition for a variable-structure output feedback controller based on Genetic Algorithms (GA). The design of the variable-structure controller using output feedback provides a technique to compute matrix parameters and guarantees the reaching conditions for a general class of linear systems. A combination of both a modified control law and a simple search technique based on the GA approach is proposed to obtain a good dynamic response. The proposed method is computationally simple and tractable, and guarantees a sliding motion along the switching surface. The efficacy of the theoretical results is illustrated by considering a linearized model of an aircraft control problem.

Keywords:

• Reaching condition
• Variable structure
• Output feedback controller
• Search technique

Acknowledgements

The authors would like to thank the associate editor and the anonymous reviewers, whose careful reading of the manuscript and many helpful comments and constructive suggestions helped to improve the quality of the paper.