分布式非线性控制的回路小增益方法

Cyclic-small-gain method for distributed nonlinear control

近年来,分布式控制在控制及相关学科引起了广泛的兴趣.复杂的包含不确定性的非线性动力学在控制系统中普遍存在,而针对这种系统的分布式控制研究尚处于起步阶段.其中一个关键问题就是由分布式控制系统中信息交换约束与复杂非线性动力学的并存所导致的.近期相关研究表明,基于回路小增益定理的控制设计方法能够较有效地解决这类问题.本文重点回顾分布式控制回路小增益方法的近期主要结果,给出了一种分布式非线性控制器的系统化设计方法,并在此基础上指出若干未来研究方向.

Distributed control has attracted considerable attention from control and other scientific communities.Complex nonlinear uncertain dynamics is ubiquitous in control systems,and the distributed control for this kind of systems has not been fully studied.One fundamental problem is caused by the coexistence of constraints on information exchange and complex nonlinear dynamics in distributed control systems.The cyclic-small-gain methods have recently shown to be a powerful tool for the design of distributed nonlinear controllers.This paper reviews the main results on the cyclic-small-gain methods for distributed control,and pinpoints several directions for future research.