A proposal on centralised and distributed optimisation via proportional–integral–derivative controllers (PID) control perspective
A proposal on centralised and distributed optimisation via proportional–integral–derivative controllers (PID) control perspective
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DOI：
10.1049/csy2.12100
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发表时间：
2023-11
期刊：
影响因子：
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通讯作者：
Jiaxu Liu;Song Chen;Shengze Cai;Chao Xu
中科院分区：
文献类型：
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作者：
Jiaxu Liu;Song Chen;Shengze Cai;Chao Xu
受比例-积分-微分控制器（PID）在控制领域的优异性能的启发，作者将PID的哲学注入到优化中，并从连续时间的角度介绍了两种新型PID优化器，这得益于离散时间优化算法可以建模为连续动态系统/受控系统的想法。对于集中优化，作者讨论了一阶PID优化器和二阶加速PID优化器的思想。此外，该框架扩展到分布式优化设置，并提出了一个分布式PID优化器。最后给出了一些数值例子来验证我们的想法。
Motivated by the excellent performance of proportional–integral–derivative controllers (PIDs) in the field of control, the authors injected the philosophy of PID into optimisation and introduced two types of novel PID optimisers from a continuous‐time view, which benefit from the idea that discrete‐time optimisation algorithm can be modelled as a continuous dynamical system/controlled system. For centralised optimisation, the authors discuss the idea of the first‐order PID optimiser and the second‐order accelerated PID optimiser. Furthermore, this framework is extended into distributed optimisation settings, and a distributed PID optimiser is proposed. Finally, some numerical examples are given to verify our ideas.