具有α-稳定的网络化控制系统容错设计

Fault-tolerant design of networked control system with α-stability

针对具有时变时延和丢包的网络化控制系统,研究了系统在闭环极点具有α-稳定条件约束下,执行器或传感器发生失效故障时的容错设计问题.文中将丢包当作一种特殊时延,综合考虑时延上、下界及时延变化率,通过构造适当的时滞依赖Lyapunov-Krasovskii泛函,推证出网络化控制系统具有α-稳定容错能力的判别准则,并以求解LMIs的方式给出α-镇定容错控制器的设计方法.最后以仿真算例验证该方法的可行性和有效性.

For a networked control system with time-varying delay and data-packet-dropout,the problem of fault-tolreant design for actuator and sensor failures was investigated under the constraint of having α-stability on the closed-loop poles.The packet-dropout was regarded as a special kind of delay.The upper and lower bound of the delay and the delay variation were taken into consideration.By constructing an appropriate delay-dependent Lyapunov-Krasovakii functional,the judgment criterion was derived for the networked control system with α-stability tolerance.And by means of solving linear matrix inequalities,a designing method of controller with α-stability fault-tolerance was given.Finally,a simulation example was given to demonstrate the feasibility and effectiveness of this proposed approach.