
doi: 10.1002/rnc.4683
SummaryAntidisturbance control problem is discussed for stochastic systems with multiple heterogeneous disturbances, which include the white noise and the disturbance with unknown frequencies and amplitudes. An adaptive disturbance observer is designed to estimate the disturbance with unknown frequencies and amplitudes, based on which, an adaptive disturbance observer‐based control scheme is proposed by combining adaptive technique and linear matrix inequality method. It is proved that the closed‐loop system is asymptotically bounded in mean square when multiple heterogeneous disturbances exist simultaneously and that the equilibrium is globally asymptotically stable in probability as additive disturbance disappears. Finally, two simulation examples, including a wind turbine system, are given to show the effectiveness of the proposed scheme.
Asymptotic stability in control theory, Perturbations in control/observation systems, Adaptive control/observation systems, adaptive disturbance observer, disturbance observer based control, stochastic systems, Stochastic systems in control theory (general), Stochastic stability in control theory, Observers, multiple heterogeneous disturbances
Asymptotic stability in control theory, Perturbations in control/observation systems, Adaptive control/observation systems, adaptive disturbance observer, disturbance observer based control, stochastic systems, Stochastic systems in control theory (general), Stochastic stability in control theory, Observers, multiple heterogeneous disturbances
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