Chattering-Free Implementation of Continuous Terminal Algorithm with Implicit Euler Method
For control systems engineers, this provides a chattering-free implementation of a known algorithm, but the improvement is incremental as it applies an existing numerical method to a known problem.
The paper proposes an implicit Euler implementation of the continuous terminal algorithm that eliminates chattering, achieving suppression in both control input and output even with large gains and time-step sizes.
This paper proposes an efficient implementation for a continuous terminal algorithm (CTA). Although CTA is a continuous version of the famous twisting algorithm (TA), the conventional implementations of this CTA still suffer from chattering, especially when the gains and the time-step sizes are selected very large. The proposed implementation is based on an implicit Euler method and it totally suppresses the chattering. The proposed implementation is compared with the conventional explicit Euler implementation through simulations. It shows that the proposed implementation is very efficient and the chattering is suppressed both in the control input and output.