网络环境下混合时滞系统对时滞参数的自适应控制

Feedback controller designed for hybrid network control system with adaptation to delay parameter

在网络环境下,建立了一类复杂的混合时滞系统模型,该模型被控对象为连续系统,控制输入为离散序列且状态时滞参数未知.在分别建立了连续与离散的模型基础上,根据已有的混合系统的稳定性定理,提出了一种镇定系统的方法,并得到了离散形式的可用于控制输入的对未知时滞参数的自适应律.控制方法基于一种Lyapunov-Krasovskii泛函,且在得到的自适应律作用下,对未知时滞参数的估计值能始终被反映在带记忆状态反馈控制器中,且依赖于时滞的反馈控制器,存在的充分条件均可通过一组线性矩阵不等式LMIs表示.

A class of complex hybrid time-delay models for network control systems have been constructed by taking the characteristics of network into account. Based on a LMI( linear matrix inequality) method,a kind of Lyapunov-Krasovskii functional is employed,and the controller design is discussed for this type of systems. As input control is in discrete-time and the input delay constant is known,while state is in continuous-time and the state delay constant is not known exactly,so the system is constructed based on two models in both continuous-time domain and discrete-time domain. At the same time,a new type of adaptive control strategy for the unknown delay parameter is proposed in this paper,which realizes that the unknown delay parameter can always be reflected in the memory state-feedback controller. Delay-dependent sufficient conditions for the existence of the feedback controller in terms of LMIS are obtained.