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State-Feedback Stabilization of Stochastic Nonholonomic Systems with an Unknown Time-Varying Delay

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  • Qinghui Du
  • Qianqian Cui
  • Dongkai Zhang

Abstract

This paper investigates the state-feedback stabilization of stochastic nonholonomic systems with an unknown time-varying delay. Without imposing any assumptions on the time-varying delay, a state-feedback controller is skillfully designed by using input-state-scaling technique and backstepping control approach. The switching strategy is proposed to eliminate the phenomenon of uncontrollability and to guarantee that the closed-loop system has an almost surely unique solution for any initial state and the equilibrium of interest is globally asymptotically stable in probability. A simulation example demonstrates the effectiveness of the proposed scheme.

Suggested Citation

  • Qinghui Du & Qianqian Cui & Dongkai Zhang, 2019. "State-Feedback Stabilization of Stochastic Nonholonomic Systems with an Unknown Time-Varying Delay," Mathematical Problems in Engineering, Hindawi, vol. 2019, pages 1-16, September.
    • Handle: RePEc:hin:jnlmpe:7516734
    DOI: 10.1155/2019/7516734
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