Robust H_∞ state-feedback control for linear systems.

Area of Science:

• Control Engineering
• Systems Theory
• Aerospace Engineering

Background:

• Linear systems are susceptible to parameter uncertainties and disturbances.
• Robust control is crucial for ensuring system stability and performance in real-world applications.
• Existing methods may lead to overly conservative estimates, limiting performance.

Purpose of the Study:

• To develop a robust H-infinity control algorithm for linear systems.
• To address parameter uncertainties and time-varying delays effectively.
• To minimize conservatism in control design for improved performance.

Main Methods:

• Design of a state-feedback closed-loop control algorithm.
• Development of a modified augmented Lyapunov-Krasovskii functional (LKF) using geometric progression theory.
• Application of convex combination skill to model parameter uncertainties and delay derivatives.

Main Results:

• The proposed method effectively reduces conservatism in LKF derivative estimation.
• The designed controller guarantees global asymptotic stability for linear systems.
• A guaranteed H-infinity performance is achieved in the presence of disturbances and uncertainties.

Conclusions:

• The state-feedback control approach is effective for linear systems.
• The method ensures robust H-infinity performance, validated through a liquid monopropellant rocket motor simulation.
• The technique offers a less conservative and more reliable control solution.