Abstract

This paper introduces a control approach for a class of Chemical Reaction Networks (CRNs) that are interconnected through a delayed convection network. First, a control-oriented model is proposed for interconnected CRNs. Second, based on this model, a distributed control method is introduced which assures that each CRN can be driven into a desired fixed point (setpoint) independently of the delay in the convection network. The proposed algorithm is also augmented with a disturbance attenuation term to compensate the effect of unknown input disturbances on setpoint tracking performance. The control design applies the theory of passive systems and methods developed for multi-agent systems. Simulation results are provided to show the applicability of the proposed control method.

Highlights

  • The control of plant-wide industrial processes is in the focus of the researchers for decades [1,2]

  • The decentralized or distributed control approaches are advantageous in process network applications to reduce the communication costs and possible communication hazards that could arise in the case of centralized control [3]

  • Consider a process network consisting of C subsystems (CRNs) that are interconnected through a delayed convection network

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Summary

Introduction

The control of plant-wide industrial processes is in the focus of the researchers for decades [1,2]. In the paper [4] the authors proposed a distributed control approach for such interconnected processes that can be modeled as linear time-invariant systems based on passivity theory. This control method takes into consideration the transport delay in the interconnections among the processes. The popular and powerful model predictive control approach is used in distributed and in hierarchical frameworks (see the paper [7] for a review) This approach can handle nonlinear interconnected process systems, as well. The stability and tracking performance of the interconnected CRN with the proposed control is analyzed using techniques borrowed from the theory of multi-agent systems

Passive subsystems
Interconnections
Chemical Reaction Networks and their stability
Network of CRNs connected by convection with delay
Distributed controller design
Storage function and passivity analysis of open CRNs
Control problem statement
The concept of synchronization-based control
Stability and steady-states of the closed loop system
Distributed setpoint control with disturbance attenuation
Restriction on convection flow rates: positivity
Interconnected CRN model for simulations
Simulation experiments
Distributed setpoint control
Conclusions

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