Sliding Mode Control in Stochastic Continuos-Time Systems: µ-zone MS-Convergence

@article{Poznyak2017SlidingMC,
  title={Sliding Mode Control in Stochastic Continuos-Time Systems: µ-zone MS-Convergence},
  author={Alexander S. Poznyak},
  journal={IEEE Trans. Automat. Contr.},
  year={2017},
  volume={62},
  pages={863-868}
}
It is shown that the Sliding Mode Control (SMC) technique can be successfully applied to stochastic systems governed by the stochastic differential equations of the Itô type which contain additive stochastic unbounded white noise perturbations. The existence of a strong solution to the corresponding stochastic differential inclusion is discussed. To do this approach workable the gain control parameter is suggested to be done state-dependent on norms of system states. It is demonstrated that… CONTINUE READING
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