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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,推证出在传感器发生失效故障的情形下,系统具有完整性的时滞依赖充分条件,并给出了一种求解非线性矩阵不等式迭代优化算法以得到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,并借助适当积分不等式引入的自由权矩阵确保了对积分项不进行放大或忽略,使结果具有较少保守性。最后以仿真示例验证了所述方法的有效性和可行性。
Considering the influence of delay and packet loss, a kind of nonlinear networked control system is constructed. Based on the TS fuzzy model, by constructing the appropriate Lyapunov-Krasovskii functional, it is proved that the system has a complete The time delay of the system depends on sufficient conditions, and a design method for solving the fault-tolerant controller is given by solving the iterative optimization algorithm of nonlinear matrix inequalities. Since the lower boundary of delay is considered, the model has not been transformed in the proof. With the help of the free weight matrix introduced by the appropriate integral inequality, it is ensured that the integral term is not magnified or ignored and the result is less conservative. Finally, a simulation example is given to verify the effectiveness and feasibility of the proposed method.