Design of a novel nonlinear robust H_∞ sliding mode controller for complex nonlinear hydro-turbine regulating system

Area of Science:

• Control Systems Engineering
• Fluid Dynamics
• Power Systems

Background:

• Hydro-turbine regulating systems (HTRS) are complex, nonlinear, and subject to uncertainties.
• Existing nonlinear control methods often face challenges with zero dynamics design.
• Robust control is crucial for maintaining stability and performance under disturbances.

Purpose of the Study:

• To propose a novel nonlinear robust sliding mode control (NRSMC) strategy for HTRS.
• To address the limitations of existing control methods in handling system uncertainties and disturbances.
• To enhance the stability, damping, and disturbance rejection capabilities of HTRS.

Main Methods:

• Development of a comprehensive nonlinear mathematical model for HTRS.
• Application of dynamic regulation output feedback linearization to transform the system into an equivalent linear model.
• Design of a state-feedback-based robust sliding mode controller for NRSMC.

Main Results:

• The proposed NRSMC strategy demonstrates strong disturbance rejection capabilities.
• Numerical simulations confirm enhanced system damping and significantly improved stability.
• The NRSMC approach effectively overcomes the zero dynamics design bottleneck.

Conclusions:

• The developed NRSMC offers a robust and effective control solution for complex HTRS.
• This strategy provides clear advantages over existing nonlinear controllers, especially those based on simplified models.
• The NRSMC approach contributes a novel solution for improving the performance and reliability of hydro-turbine regulation.