网络控制系统的模型依赖平均驻留时间调度与控制

Model-based average dwell time scheduling and control for networked control system

针对具有随机短时延的资源受限网络控制系统,提出了一种新的模型依赖平均驻留时间的调度策略与反馈控制联合设计方法.该调度策略由模型依赖平均驻留时间和动态试一次就丢弃(try-once-discard,TOD)调度策略共同决定,将系统建模成带有参数不确定性的离散切换系统,基于多Lyapunov函数方法及线性矩阵不等式(linear matrix inequality,LMI)技术,给出了使闭环系统指数稳定的控制器设计和TOD调度策略下的各模态平均驻留时间条件.该联合设计方法降低了保守性,在一定程度上减少了系统模态之间的切换频率.最后通过仿真验证所提方法的有效性.

A novel co-design method of scheduling strategy based on mode-dependent average dwell time（MADT）and feedback control for resource-constrained networked control system with random short time-delay is proposed in this paper.The scheduling strategy is determined by the mode-dependent average dwell time and dynamic TOD（try-oncediscard） scheduling strategy.Firstly,the networked control system is modeled as a discrete-time switched system with some parametric uncertainties.Furthermore,by using multiple Lyapunov functions and linear matrix inequality（LMI）technique,the state-feedback controller is given such that the closed-loop switched system is exponentially stable.And the condition of the average dwell time of each mode selected by TOD scheduling strategy is also given at the same time.This co-design method in this paper not only reduces conservatives,but also can reduce the switching frequency of the system between modes determined by the TOD scheduling strategy in a certain extent.The final simulation example illustrates the efficiency of the proposed method.