一类带有时延的非线性网络控制系统可靠模糊控制

研究了带有状态时延及执行器故障的非线性网络控制系统的可靠模糊控制问题. 利用输入时延方法, 将带有网络诱导时延和数据包丢失的非线性网络控制系统等价的转化为具有时变时延的Takagi-Sugeno(T-S)模糊系统. 时延对象的状态信息, 采用时滞分解方法, 得以充分的考虑. 并利用锥补线性化迭代算法, 将非凸的稳定性条件转化成可行的线性矩阵不等式(LMI)的形式. 文中将更紧的界处理方法(相互凸组合技术)与不相关增广矩阵项引入到Lyapunov函数的处理当中, 获得保守性更小的稳定性条件. 数值算例验证了该方法的有效性.

Reliable Fuzzy Control for a Class of Nonlinear Networked Control Systems with Time Delay

This paper is concerned with reliable fuzzy control for a class of nonlinear networked control systems (NCSs) with state delay and actuator failures. By utilizing the input delay approach, an equivalent continuous-time generalized Takagi-Sugeno (T-S) fuzzy model with both interval time-varying network-induced delay and data packet dropout is obtained. By employing the delay decomposition approach, the information of the states of delayed plant can be taken into full consideration. A sufficient condition is formulated in the form of a nonconvex matrix inequality, of which a feasible solution can be obtained by solving a minimization problem in terms of linear matrix inequality (LMI) with the cone complementarity linearization algorithm. The key features of the approach include the use of a tighter bounding technique (reciprocally convex combination lemma) and the introduction of uncorrelated augmented matrix items into the Lyapunov functional. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed design method.