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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.

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Authors and Affiliations

  1. Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, 116024, Dalian, P.R. China

    Jie Lian

  2. Key Laboratory of Integrated Automation of Industry, Ministry of Education, Northeastern University, 110004, Shenyang, P.R. China

    Jun Zhao

Authors
  1. Jie Lian
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  2. Jun Zhao
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Correspondence to Jie Lian.

Additional information

This work was supported by the NSF of China under Grant 60874024, 60574013.

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Lian, J., Zhao, J. Adaptive Variable Structure Control for Uncertain Switched Delay Systems. Circuits Syst Signal Process 29, 1089–1102 (2010). https://doi.org/10.1007/s00034-010-9191-7

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  • DOI: https://doi.org/10.1007/s00034-010-9191-7

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