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Output feedback stabilization for stochastic nonlinear systems in observer canonical form with stable zero-dynamics

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Abstract

In this paper, we study the problem of output feedback stabilization for stochastic nonlinear systems. We consider a class of stochastic nonlinear systems in observer canonical form with stable zero-dynamics. We introduce a sequence of state transformations that transform the system into a lower triangular structure that is amenable for integrator backstepping design. Then we design the output-feedback controller and prove that the closed-loop system is bounded in probability. Furthermore, when the disturbance vector field vanishes at the origin, the closed-loop system is asymptotically stable in the large. With special care, the controller preserves the equilibrium of the nonlinear system. An example is included to illustrate the theoretical findings.

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Authors and Affiliations

  1. Department of Automation, Shanghai Jiao Tong University, 200030, Shanghai, China

    Pan Zigang, Liu Yungang & Shi Songjiao

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  1. Pan Zigang
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  2. Liu Yungang
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  3. Shi Songjiao
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Corresponding author

Correspondence to Liu Yungang.

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Pan, Z., Liu, Y. & Shi, S. Output feedback stabilization for stochastic nonlinear systems in observer canonical form with stable zero-dynamics. Sci China Ser F 44, 292–308 (2001). https://doi.org/10.1007/BF02714717

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  • DOI: https://doi.org/10.1007/BF02714717

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