Adaptive Twisting sliding mode controller design

Sliding mode controller has wide applications in control engineering due to its robustness in the input channel. When designing a proper sliding mode controller, people notice that constant control gain is not convenient to be determined, especially for high-order sliding mode controller. Thus, designing a proper adaptive law for control gain to adapt to the entire ever-changing control process is a significant task when constructing sliding mode controllers. This paper will basically design a special adaptive law for the control gain of second-order twisting sliding mode controller. This design is derived based on Lyapunov function proof. It is shown that an ideal or real third-order sliding mode is established. A simulation example, presented using the special adaptive twisting sliding mode control design strategy, demonstrate the effectiveness of the proposed method.