State feedback dynamic sliding mode control of T-S fuzzy descriptor system based on super-twisting algorithm

Abstract The paper proposes a dynamic sliding mode control method based on the multivariable super-twisting algorithm for T-S fuzzy descriptor systems. Existing sliding mode control methods have significant limitations and still face chattering issues. The approach utilized in this paper fully leverages the advantages of the super-twisting algorithm, effectively reducing chattering during the control process and enhancing the system’s response speed and control accuracy. The reduction of chattering not only improves the control performance but also extends the system’s lifespan. Additionally, the paper conducts in-depth analysis of the entire system, using mathematical models and theoretical deductions to demonstrate that the proposed control method can effectively ensure system stability. This theoretical outcome provides a solid foundation for practical applications, ensuring the reliability of the control scheme.