Decentralized coordinated optimal guaranteed cost control for a roll-to-roll web machine

Area of Science:

• Control Systems Engineering
• Automation and Robotics
• Manufacturing Systems

Background:

• Roll-to-roll (R2R) manufacturing involves complex, multi-motor systems.
• Uncertainty and time-varying parameters pose significant challenges to R2R machine control.
• Ensuring stability and optimizing performance in decentralized R2R systems is critical.

Purpose of the Study:

• To develop a coordinated optimal guaranteed cost control (DCOGCC) strategy for multi-motor R2R web machines.
• To address systems with time-varying and uncertain parameters.
• To minimize the upper bound of a defined performance index while ensuring system stability.

Main Methods:

• Design of a state-space oriented DCOGCC law.
• Derivation of Linear Matrix Inequality (LMI) conditions for stability guarantees.
• Adoption of a decentralized modeling approach, transforming the system into an equivalent one.
• Utilization of consecutive subsystem information as coordination variables to mitigate inter-subsystem interactions.

Main Results:

• The proposed DCOGCC law ensures the stability of individual subsystems within the R2R machine.
• The control scheme effectively minimizes the upper bound of the system's performance index.
• Simulation and experimental results validate the feasibility and effectiveness of the DCOGCC approach.

Conclusions:

• The developed DCOGCC strategy provides robust control for multi-motor R2R systems with uncertainties.
• The LMI-based conditions offer a systematic way to guarantee system stability.
• The coordination mechanism effectively reduces detrimental interaction effects between subsystems, enhancing overall performance.