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Finite-Time Stabilization for - Norm Stochastic Nonlinear Systems with Output Constraints

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  • Shijun Guan
  • Liandi Fang

Abstract

This paper investigates the finite-time stability problem of - norm stochastic nonlinear systems subject to output constraint. To cope with the constraint on system output, a tan-type barrier Lyapunov function (BLF) is constructed. By using the constructed BLF and the backstepping technique, a new control algorithm is proposed with a continuous state-feedback controller being designed, which guarantees not only that the requirement of output constraint is always achieved but also that the origin of the system is finite-time stable. This result is demonstrated by both the rigorous analysis and the simulation example.

Suggested Citation

  • Shijun Guan & Liandi Fang, 2020. "Finite-Time Stabilization for - Norm Stochastic Nonlinear Systems with Output Constraints," Complexity, Hindawi, vol. 2020, pages 1-14, August.
  • Handle: RePEc:hin:complx:2486210
    DOI: 10.1155/2020/2486210
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    Cited by:

    1. Shao, Xingling & Yue, Xiaohui & Li, Jie, 2021. "Event-triggered robust control for quadrotors with preassigned time performance constraints," Applied Mathematics and Computation, Elsevier, vol. 392(C).

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