Circuits, Systems and Signal Processing

, Volume 29, Issue 6, pp 1089–1102 | Cite as

Adaptive Variable Structure Control for Uncertain Switched Delay Systems

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Abstract

This paper investigates the robust H ∞ control problem for a class of uncertain switched delay systems with parameter uncertainties, unknown nonlinear perturbations, and external disturbance. Based on the multiple Lyapunov functions method, a sufficient condition for the solvability of the robust H ∞ control problem is derived by employing a hysteresis switching law and variable structure controllers. When the upper bounds of the nonlinear perturbations are unknown, an adaptive variable structure control strategy is developed. The use of the adaptive technique is to adapt the unknown upper bounds of the nonlinear disturbances so that the objective of asymptotic stabilization with an H ∞-norm bound is achieved under the hysteresis switching law. A numerical example illustrates the effectiveness of the proposed design methods.

Keywords

Uncertain switched delay systems Hysteresis switching law Adaptive control Robust H∞ control Multiple Lyapunov functions 
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Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.Faculty of Electronic Information and Electrical EngineeringDalian University of TechnologyDalianP.R. China
  2. 2.Key Laboratory of Integrated Automation of Industry, Ministry of EducationNortheastern UniversityShenyangP.R. China

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