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Decentralized backstepping adaptive output tracking of large-scale stochastic nonlinear systems

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Abstract

The problem of decentralized adaptive output tracking control of a class of interconnected stochastic nonlinear systems is considered. In the control design, decentralized state observers and backstepping techniques are applied. To eliminate the influences of interactions with other subsystems, a differentiable function is employed. It is shown that the designed local adaptive controllers can ensure that all the signals in the closed-loop system are bounded in probability. Furthermore, the tracking errors can be limited to a small residual set around the origin in the fourth moment sense and can be adjusted by choosing suitable design parameters.

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Acknowledgements

This work was supported by National Natural Science Foundation of China (Grant Nos. 61325014, 61374072).

Author information

Correspondence to Yongfeng Gao.

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Cite this article

Gao, Y., Sun, X. & Wang, W. Decentralized backstepping adaptive output tracking of large-scale stochastic nonlinear systems. Sci. China Inf. Sci. 60, 120207 (2017). https://doi.org/10.1007/s11432-017-9142-3

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Keywords

  • stochastic nonlinear systems
  • adaptive control
  • backstepping
  • interconnected subsystems
  • tracking control