Discrete-Time Super-Twisting Fractional-Order Observer With Implicit Euler Method

The work presented in this brief describes the design of a discrete-time super-twisting algorithm based fractional-order observer for a class of non-linear fractional-order systems. The proposed observer is shown to achieve higher performance as compared to the conventional integer-order observers in terms of robustness and convergence time. It generalizes the design of observers for the class of non-linear fractional-order systems. The peaking phenomenon is observed to be less significant in the proposed approach. Chattering is suppressed with the Fractional Adams-Moulton Method, which is an implicit Euler discretization technique. The significance of the proposed observer is illustrated through a simulation example.

Automated summary

This work presents the design of a discrete-time super-twisting algorithm based fractional-order observer for a specific class of non-linear fractional-order systems. The proposed observer achieves higher performance in terms of robustness and convergence time compared to traditional integer-order observers. It generalizes the observer design for non-linear fractional-order systems. The proposed approach reduces the significance of peaking phenomenon and suppresses chattering using the Fractional Adams-Moulton Method, an implicit Euler discretization technique. The importance of the proposed observer is illustrated through a simulation example.