A proposal on centralised and distributed optimisation via proportional–integral–derivative controllers (PID) control perspective

IF 1.5 Q3 AUTOMATION & CONTROL SYSTEMS
Jiaxu Liu, Song Chen, Shengze Cai, Chao Xu
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引用次数: 0

Abstract

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.

Abstract Image

从比例-积分-导数控制器(PID)控制的角度提出集中和分布优化
由于比例-积分-导数控制器(PID)在控制领域的优异性能,作者将PID的思想注入到优化中,并从连续时间的角度引入了两种新型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/被控系统的思想。对于集中优化,讨论了一阶PID优化器和二阶加速PID优化器的思想。进一步,将该框架扩展到分布式优化设置中,提出了一种分布式PID优化器。最后,给出了一些数值算例来验证我们的想法。
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来源期刊
IET Cybersystems and Robotics
IET Cybersystems and Robotics Computer Science-Information Systems
CiteScore
3.70
自引率
0.00%
发文量
31
审稿时长
34 weeks
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