Robust finite-time and fixed-time chaos synchronization of PMSMs in noise environment.

Abstract

This paper addresses the robust stochastic finite-time and fixed-time chaos synchronization of two permanent magnet synchronous motors (PMSMs) in noise environment. The novel adaptive finite-time and fixed-time control schemes are implemented, respectively, which can not only ensure that the stochastic chaos synchronization of PMSMs can be achieved in a fast rate, but also determine the control gains successfully(not necessary to set them in advance). The sufficient conditions are derived in the light of the stochastic finite-time and fixed-time stability theories, where the upper bound of synchronization time can be estimated. Furthermore, the stochastic fixed-time synchronization can get rid of the dependence of initial conditions in PMSMs, which overcomes the critical deficiency of stochastic finite-time synchronization of PMSMs. Finally, simulation results demonstrate the validity of proposed theoretical analysis with comparisons.