Distributed model predictive control of constrained spatially-invariant interconnected systems in input-output form

Distributed model predictive control of constrained spatially-invariant interconnected systems in input-output form
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DOI:
10.1109/acc.2016.7525472
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发表时间:
2016-07
期刊:
2016 American Control Conference (ACC)
影响因子:
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通讯作者:
Qin Liu;H. S. Abbas;J. Mohammadpour;Simon Wollnack;H. Werner
Qin Liu;H. S. Abbas;J. Mohammadpour;Simon Wollnack;H. Werner
中科院分区:
其他
文献类型:
--
作者:
Qin Liu;H. S. Abbas;J. Mohammadpour;Simon Wollnack;H. Werner

文献摘要

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本文提出了一种非迭代的、基于lyapunov的分布式模型预测控制(MPC)设计,用于由具有耦合动力学且受局部状态和/或输入约束的子系统网络组成的不变空间互联系统。本文研究具有定结构局部状态-反馈控制律的输入-输出线性系统的分布式MPC设计。所提出的分布式MPC设计方法保证了渐近稳定性和递归可行性,其在线实现可表述为求解子系统级线性矩阵不等式(LMI)问题。一维空间热方程的仿真结果证明了该方法的优点和有效性。
This paper proposes a non-iterative, Lyapunov-based distributed model predictive control (MPC) design for invariant spatially-interconnected systems comprised of a network of subsystems with coupled dynamcis and subject to local state and/or input constraints. Considered here is the distributed MPC design for linear systems in input-output form with fixed-structure local state-feedback-like control law. The proposed distributed MPC design approach ensures asymptotic stability and recursive feasibility, and its online implementation can be formulated as solving a linear matrix inequality (LMI) problem defined at the subsystem level. Simulation results using a heat equation in one-dimensional space demonstrate the merits and effectiveness of the proposed approach.