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Distributed model predictive control for constrained nonlinear systems with decoupled local dynamics.

Meng Zhao1, Baocang Ding1

  • 1College of Automation, Chongqing University, Chongqing 400044, China.

ISA Transactions
|December 3, 2014
PubMed
Summary
This summary is machine-generated.

This study introduces distributed model predictive control (MPC) for large-scale nonlinear systems. It ensures stability by decomposing constraints and optimizing local objectives, enabling efficient control with reduced communication.

Keywords:
Compatibility conditionDistributed controlExponentially stabilityModel predictive control (MPC)

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Area of Science:

  • Control Engineering
  • Systems Science
  • Applied Mathematics

Background:

  • Large-scale nonlinear systems present significant control challenges.
  • Centralized model predictive control (MPC) can be computationally intensive for such systems.
  • Distributed control strategies are needed to manage complexity and communication overhead.

Purpose of the Study:

  • To develop a distributed model predictive control (MPC) strategy for nonlinear large-scale systems.
  • To ensure closed-loop stability in a distributed MPC framework.
  • To reduce communication requirements between subsystems.

Main Methods:

  • Decomposition of the overall cost function into local optimization problems for each subsystem.
  • Fixed neighbor identification based on coupled states in the cost function.
  • Decomposition of centralized compatibility constraints into local controllers.
  • Application of a quasi-infinite horizon MPC algorithm for each local controller.
  • Analysis of communication protocols involving current states and optimized inputs.

Main Results:

  • Successfully disassembled the global objective function into local optimization tasks.
  • Ensured closed-loop stability by decomposing compatibility constraints.
  • Demonstrated low communication overhead, transferring only essential state and input information.
  • Proved exponential stability for the global closed-loop system.

Conclusions:

  • The proposed distributed MPC approach is effective for nonlinear large-scale systems.
  • The method guarantees system stability while minimizing communication.
  • This framework offers a scalable and efficient solution for complex control problems.