Sliding-Mode Control for Stabilizing High-Order Stochastic Systems: Application to One-Degree-of-Freedom Aerial Device

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Abstract
This paper is concerned with the problem of designing a control strategy to guarantee stability in probability for high-order stochastic systems. The control hinges on the sliding-mode scheme. We first prove that the control design can stabilize a fast terminal sliding-mode function. We further show that the stable sliding mode is able to assure the stability in probability for the high-order stochastic system. The resulting system may account nonvanishing diffusion terms, which is regarded as a novelty. The derived control strategy has implications for applications--experiments are carried out to control the pitch angle of a one-degree-of-freedom aerial device. The corresponding experimental results demonstrate the benefits and effectiveness of our approach.
Funding Information
  • National Key Scientific Research Project of China (61233003)
  • Thousand Talents Plan of Shaanxi Province for Young Professionals
  • Brazilian agencies CNPq (401572/2016-1, 307882/2014-4)
  • CAPES Grant Program PVE (88881.030423/2013-01)