This paper investigates the problem of disturbance-observer-based sliding mode control for stabilization of stochastic systems driven by frac-tional Brownian motion (fBm). By proposing a novel disturbance observer, an integral-typ e sliding surface is put forward with the estimated disturbance error confined within a certain value. Meanwhile, by virtue of fractional infin-itesimal operator and linear matrix inequality, a sufficient criterion is derived to guarantee the asymptotic stability of obtained sliding mode dynamics. Fur-ther, an observer-based sliding mode controller is designed to ensure finite-time reachability of state trajectories onto the predefined sliding surface. Lastly, an illustrative example is utilized to verify the reliability and applicability of the proposed control strategy.
Observer-based SMC for stochastic systems with disturbance driven by fractional Brownian motion
Karimi, Hamid Reza
2022-01-01
Abstract
This paper investigates the problem of disturbance-observer-based sliding mode control for stabilization of stochastic systems driven by frac-tional Brownian motion (fBm). By proposing a novel disturbance observer, an integral-typ e sliding surface is put forward with the estimated disturbance error confined within a certain value. Meanwhile, by virtue of fractional infin-itesimal operator and linear matrix inequality, a sufficient criterion is derived to guarantee the asymptotic stability of obtained sliding mode dynamics. Fur-ther, an observer-based sliding mode controller is designed to ensure finite-time reachability of state trajectories onto the predefined sliding surface. Lastly, an illustrative example is utilized to verify the reliability and applicability of the proposed control strategy.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.