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针对同时存在时滞和数据包丢失的网络控制系统(NCSs),假设数据包丢失率一定,网络时滞小于一个采样周期,通过构造适当的李亚普诺夫泛函,给出了系统的时滞相关稳定性判据.首先,给出了一种新的闭环网络控制系统的建模方法——模糊T-S方法,利用这种模糊模型去逼近非线性网络控制系统,使之局部线性化.进而,应用李亚普诺夫理论和LMI方法,研究了模糊网络控制系统的稳定性问题,同时基于线性矩阵不等式给出依赖状态时滞和网络诱导时延的状态反馈模糊控制器的设计方法,并获得使模糊网络控制系统稳定的充分条件.通过举例证明了所提方法的有效性.
For network control systems (NCSs) with simultaneous delay and packet loss, assuming that the packet loss rate is constant and the network delay is less than one sampling period, the delay-dependent system is given by constructing appropriate Lyapunov functional. Stability criterion.At first, a new method for modeling closed-loop networked control system-fuzzy TS is proposed, which uses this fuzzy model to approximate the nonlinear networked control system and make it locally linear.Furthermore, Lyapunov theory and LMI method, the stability of fuzzy network control system is studied. At the same time, the design method of state feedback fuzzy controller based on linear matrix inequality is given, which depends on state delay and network induced delay. Sufficient conditions for the stability of the control system are given. The effectiveness of the proposed method is proved by examples.