Design of Integral-Based HOSM Controller Under Perturbations of Unknown Magnitudes

Area of Science:

• Control Engineering
• Nonlinear Systems Theory
• Robust Control

Background:

• Nonlinear systems are susceptible to external perturbations, complicating control design.
• Existing sliding mode controllers may struggle with unknown perturbation magnitudes.
• Robust control strategies are essential for system stability and performance.

Purpose of the Study:

• To develop an integral-based high-order sliding mode (iHOSM) controller.
• To address control challenges in nonlinear systems with unknown perturbation magnitudes.
• To enhance the robustness and stability of control systems.

Main Methods:

• Construction of integral dynamics incorporated into the sliding mode system.
• Systematic design protocol for the iHOSM controller.
• Amendment of the adding a power integrator technique.
• Lyapunov analysis for theoretical validation.

Main Results:

• A novel iHOSM controller designed to effectively handle unknown perturbations.
• Demonstrated robustness through rigorous Lyapunov stability analysis.
• Validation of the controller's feasibility and effectiveness via two case studies.

Conclusions:

• The proposed iHOSM controller offers a robust solution for nonlinear systems with unknown perturbations.
• The integral dynamics effectively compensate for unmodeled dynamics and disturbances.
• The systematic design protocol and Lyapunov analysis confirm the methodology's validity.