
In this paper, we develop a retrofit control method with approximate environment modeling. Retrofit control is a modular control approach for a general stable network system whose subsystems are supposed to be managed by their corresponding subsystem operators. From the standpoint of a single subsystem operator who performs the design of a retrofit controller, the subsystems managed by all other operators can be regarded as an environment, the complete system model of which is assumed not to be available. The proposed retrofit control with approximate environment modeling has an advantage that the stability of the resultant control system is robustly assured regardless of not only the stability of approximate environment models, but also the magnitude of modeling errors, provided that the network system before implementing retrofit control is originally stable. This robustness property is practically significant to incorporate existing identification methods of unknown environments, because the accuracy of identified models may neither be reliable nor assurable in reality. Furthermore, we conduct a control performance analysis to show that the resultant performance can be regulated by adjusting the accuracy of approximate environment modeling. The efficiency of the proposed retrofit control is shown by numerical experiments on a network of second-order oscillators.
decentralized control, retrofit control, modular design, Mathematical modeling or simulation for problems pertaining to systems and control theory, Systems and Control (eess.SY), Decentralized systems, Electrical Engineering and Systems Science - Systems and Control, approximate modeling, network systems, Optimization and Control (math.OC), Networked control, FOS: Electrical engineering, electronic engineering, information engineering, FOS: Mathematics, Sensitivity (robustness), Mathematics - Optimization and Control
decentralized control, retrofit control, modular design, Mathematical modeling or simulation for problems pertaining to systems and control theory, Systems and Control (eess.SY), Decentralized systems, Electrical Engineering and Systems Science - Systems and Control, approximate modeling, network systems, Optimization and Control (math.OC), Networked control, FOS: Electrical engineering, electronic engineering, information engineering, FOS: Mathematics, Sensitivity (robustness), Mathematics - Optimization and Control
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