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Homogeneous Stabilizer by State Feedback for Switched Nonlinear Systems Using Multiple Lyapunov Functions’ Approach

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  • Hui Ye
  • Bin Jiang
  • Hao Yang

Abstract

This paper investigates the problem of global stabilization for a class of switched nonlinear systems using multiple Lyapunov functions (MLFs). The restrictions on nonlinearities are neither linear growth condition nor Lipschitz condition with respect to system states. Based on adding a power integrator technique, we design homogeneous state feedback controllers of all subsystems and a switching law to guarantee that the closed-loop system is globally asymptotically stable. Finally, an example is given to illustrate the validity of the proposed control scheme.

Suggested Citation

  • Hui Ye & Bin Jiang & Hao Yang, 2017. "Homogeneous Stabilizer by State Feedback for Switched Nonlinear Systems Using Multiple Lyapunov Functions’ Approach," Mathematical Problems in Engineering, Hindawi, vol. 2017, pages 1-7, November.
    • Handle: RePEc:hin:jnlmpe:5034316
    DOI: 10.1155/2017/5034316
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