Global Dynamic Nonrecursive Realization of Decentralized Nonsmooth Exact Tracking for Large-Scale Interconnected...

Area of Science:

• Control Systems Engineering
• Nonlinear Dynamics
• Decentralized Systems

Background:

• Interconnected nonlinear systems often exhibit strong coupling, posing challenges for traditional control methods.
• Decentralized control is crucial for large-scale systems but faces difficulties in separating control design and stability analysis.
• Existing methods may struggle with performance recovery in the presence of disturbances.

Purpose of the Study:

• To develop a global decentralized nonsmooth tracking algorithm for interconnected nonlinear systems.
• To propose a nonrecursive dynamic exact tracking control design for decentralized control.
• To achieve finite-time convergence for output tracking in complex systems.

Main Methods:

• Construction of a fully decentralized extended high-gain observer for dynamic controller design and disturbance handling.
• Integration of a nonrecursive homogeneous domination strategy for simplified control law design.
• Application of conventional pole placement for control gain determination.

Main Results:

• A nonrecursive dynamic exact tracking control law is designed, separating control design from stability analysis.
• The proposed observer enables performance recovery despite additional disturbances.
• The nonsmooth design framework ensures finite-time convergence of output tracking.

Conclusions:

• The developed decentralized nonsmooth tracking algorithm provides a robust and efficient solution for interconnected nonlinear systems.
• The method simplifies control design while maintaining rigorous stability guarantees.
• Finite-time convergence is achieved, offering practical advantages in real-world applications.