Super-twisting algorithm-based fuzzy sliding mode control for descriptor T-S fuzzy systems

Area of Science:

• Control Engineering
• Fuzzy Systems
• Nonlinear Control

Background:

• Descriptor T-S fuzzy systems present control challenges.
• Existing methods require prior knowledge of membership function derivatives, limiting applicability.
• Chattering is a common issue in sliding mode control.

Purpose of the Study:

• To develop a novel super-twisting algorithm-based fuzzy sliding mode controller for descriptor T-S fuzzy systems.
• To overcome the limitation of requiring prior knowledge of membership function derivatives.
• To ensure closed-loop state continuity and suppress chattering.

Main Methods:

• Proposed an innovative integral-type sliding surface.
• Developed a multivariable super-twisting algorithm tailored for descriptor T-S systems.
• Utilized numerical simulations for validation.

Main Results:

• The proposed integral-type sliding surface removes the need for membership function derivative information.
• The developed super-twisting algorithm guarantees asymptotic stability of the sliding motion.
• The controller design ensures continuity of closed-loop states and effectively suppresses chattering.

Conclusions:

• The novel framework provides a robust and practical solution for controlling descriptor T-S fuzzy systems.
• The method enhances stability and reduces undesirable chattering phenomena.
• The approach advances sliding mode control design by relaxing restrictive assumptions.