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Elaborate Control of Inkjet Printer for Fabrication of Chip-based Supercapacitors

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

Hailiang Hou¹, Mei Su², Xiaohong Nian²

¹School of Automation, Central South University, Changsha, Hunan Province, 410083, China; School of Information, Hunan University of Humanities, Science and Technology, Loudi, Hunan Province, 417000, China.

ISA Transactions

|December 7, 2020

Summary

This study presents a coordinated optimal guaranteed cost control (DCOGCC) for roll-to-roll machines. The method ensures system stability and minimizes performance bounds despite uncertain parameters.

Keywords:

Coordination variable Decentralized coordinated optimal guaranteed cost control (DCOGCC)Interval matrix Linear matrix inequality(LMI)Roll-to-roll web machine

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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.