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Implicit-Euler Implementation of Super-Twisting Observer and Twisting Controller for Second-Order Systems

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This brief proposes new discrete-time algorithms of the super-twisting observer and the twisting controller to be applied to second-order systems. The algorithms are based on the full implicit-Euler discretization, which… Click to show full abstract

This brief proposes new discrete-time algorithms of the super-twisting observer and the twisting controller to be applied to second-order systems. The algorithms are based on the full implicit-Euler discretization, which contributes to the elimination of chattering. Proofs of some stability properties of the discretized twisting controller are also provided. Simulations show that, as compared to traditional explicit-Euler schemes, the proposed scheme avoids the chattering both in trajectory tracking output and control input in the presence of external disturbances.

Keywords: observer twisting; controller; super twisting; twisting observer; twisting controller; second order

Journal Title: IEEE Transactions on Circuits and Systems II: Express Briefs
Year Published: 2020

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