Optimal full-state feedback observer integrated backstepping control of chemical processes with unknown internal...

Area of Science:

• Chemical Engineering
• Control Theory
• Systems Science

Background:

• Chemical processes often exhibit unknown internal dynamics, complicating state estimation and control.
• Existing observers may require prior knowledge of system frequency characteristics, limiting their applicability.

Purpose of the Study:

• To develop an observer for estimating state variables and unknown dynamics in chemical processes.
• To design a control method that suppresses unknown internal dynamics using the proposed observer.
• To guarantee closed-loop system stability without relying on detailed mathematical models.

Main Methods:

• An observer with optimal full-state feedback characteristics is presented.
• Observer poles are automatically determined via a Linear Quadratic Regulator (LQR) formulation, ensuring inherent stability.
• The observer is integrated into a backstepping control design to suppress unknown dynamics.

Main Results:

• The proposed observer effectively estimates state variables and unknown dynamics.
• The observer-integrated backstepping control method guarantees closed-loop system stability.
• Stability is rigorously proven using Lyapunov stability theory.
• Numerical simulations validate the method's performance.

Conclusions:

• The developed observer and control strategy offer a robust solution for chemical processes with unknown dynamics.
• The method's model-free nature and guaranteed stability make it broadly applicable.
• This approach enhances the reliability and predictability of chemical process control.