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SCIENCE CHINA Information Sciences, Volume 60, Issue 12: 120207(2017) https://doi.org/10.1007/s11432-017-9142-3

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

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  • ReceivedApr 28, 2017
  • AcceptedJun 15, 2017
  • PublishedNov 9, 2017

Abstract

The problem of decentralized adaptive output tracking control of a class ofinterconnected 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 adaptivecontrollers can ensure that all the signals in the closed-loop system arebounded in probability. Furthermore, the tracking errors can be limited to asmall residual set around the origin in the fourth moment sense and can be adjusted by choosing suitable design parameters.


Acknowledgment

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


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