具有α-稳定的不确定非线性NCS鲁棒容错设计

Robust fault-tolerant design of uncertain nonlinear NCS with α-stability

针对一类具有时变时延和丢包的不确定非线性NCS,把丢包当作一种特殊时延,基于状态反馈控制策略,将其建模为具有状态区间时变时延的T-S模糊系统,通过构造适当的时滞依赖Lyapunov-Krasovskii泛函,在执行器发生失效故障情形下推证出了具有α-稳定的不确定非线性NCS鲁棒容错的判决准则,并通过适当的变换以求解LMIs的方式给出控制器的设计方法.由于模型中考虑了时延下界,证明过程中采用改进的Jensen不等式,且未引入自由权矩阵,因此在减少结论保守性的同时降低了计算复杂度.最后以仿真示例验证了所述方法的有效性和可行性.

For a class of nonlinear uncertain networked control system with time-varying delay and data-packet-dropout,where the packet-dropout was regarded as a special kind of time delay,and based on state feedback control strategy,the system was modeled into a T-S fuzzy system with time-varying delay in state interval.By means of constructing an appropriate delay-dependent Lyapunov-Krasovakii functional,the judgment criterion was obtained for the system with α-stability robust tolerance when failures of actuator took place.The design method of the controller was also given with a proper transform to solve the linear matrix inequality.Due to the consideration of lower boundary of delay in the model and the introduction of an improved inequality of Jensen without the use of free-weighting matrices in verification,a less conservative result with lower computation complexity was obtained.Finally,an example was given to demonstrate the feasibility and effectiveness of the proposed approach.