Stabilization of compressor surge in systems with uncertain equilibrium flow

Area of Science:

• Control Systems Engineering
• Nonlinear Dynamics
• Aerospace Engineering

Background:

• Feedback controlled systems often face challenges with uncertain equilibrium states.
• Compressor surge presents a critical control problem, exacerbated by uncertainty in characteristic curves.
• Existing solutions for adaptive control often face limitations like the odd-number condition.

Purpose of the Study:

• To develop adaptive compensation methods for uncertain equilibrium states in feedback controlled systems.
• To apply these methods to the active control of compressor surge.
• To overcome the odd-number condition limitation in adaptive control solutions.

Main Methods:

• Adaptive compensation using feedback control signal information.
• Analysis of state and output feedback control cases.
• Demonstration of closed-loop system stability and existence conditions for adaptive solutions.

Main Results:

• Proposed adaptive solutions effectively correct for uncertainty in equilibrium states.
• The odd-number condition, a common limitation, is successfully overcome.
• Stability of the closed-loop system is rigorously demonstrated.

Conclusions:

• The developed adaptive compensation mechanism is effective for controlling compressor surge with uncertainty.
• The method provides a robust solution overcoming prior limitations in adaptive control.
• Validation through a high-fidelity model confirms the practical applicability of the approach.