基于T-S模糊模型的非线性NCS执行器完整性设计

Integrity design of actuator in nonlinear networked control system based on T-S fuzzy model

针对一类非线性网络化控制系统,同时考虑时延和丢包的影响,基于T-S模糊模型,通过构造适当的Lyapunov-Krasovskii泛函,推证出在执行器发生失效故障的情况下,系统具有完整性的时滞依赖充分条件,并以求解线性矩阵不等式的方式给出容错控制器的设计方法.由于考虑了时延下界,证明中未进行模型变换,借助适当的积分不等式所引入的自由权矩阵确保对积分项不进行放大或忽略,使结果具有较少保守性.

Aimed at a class of nonlinear networked control system and taking into account of the influence of both the time delay and packet dropout in transmission,the sufficient condition of integrate time delay dependence was derived for the system in the case of malfunction of its actuator,where a T-S fuzzy model was employed to represent the nonlinear controlled plant in the NCSs and an appropriate Lyapunov-Krasovskii functional was constructed for getting the sufficient condition.A design method of fault-tolerant controller was given by means of solving inequalities of linear matrix.A lower limit of the time-delay was introduced in the function without model transformation.A free-weighting matrix introduced by an appropriate integral inequality guaranteed that the integrated term would not be magnified or ignored,so that a less conservative results was obtained.