A state observer-based robust control method for perturbation-containing nonlinear discrete interconnected Systems.

Area of Science:

• Control Engineering
• Systems Theory
• Nonlinear Dynamics

Background:

• Interconnected systems are susceptible to disturbances, requiring robust control strategies.
• Existing methods for nonlinear discrete systems often face challenges in achieving robust stabilization.
• State observer-based control is crucial for systems where states are not directly measurable.

Purpose of the Study:

• To develop a robust controller design for nonlinear discrete interconnected systems with disturbance terms.
• To propose a novel method based on separate design of state observer and controller.
• To ensure robust stabilization and improve performance of the feedback closed-loop system.

Main Methods:

• A state observer design incorporating constraints for improved convergence rate of observation error.
• Introduction of a performance index to mitigate the influence of external disturbances on state estimation.
• Controller design utilizing the disk stability lemma and control theory for robust stabilization.

Main Results:

• Sufficient conditions for the existence of the gain matrix for the observer and controller were provided.
• The proposed separate design method demonstrated superiority over centralized design methods.
• A numerical example verified the effectiveness of the separation design method for robust controller synthesis.

Conclusions:

• The separate design of state observer and controller is an effective strategy for robust control of nonlinear discrete interconnected systems.
• The proposed method enhances system performance by reducing the impact of disturbances and improving state estimation.
• This approach provides a solid theoretical foundation and practical validation for robust control applications.