Solutions for a Class of Nonlinear Integro-Differential Equation on Unbounded Domains Variable Structure Control Design for Single Time-Delay Linear Systems
一类单时滞线性系统的模糊变结构控制

The variable structure control design for single time-delay linear systems is discussed. By employing the fuzzy $T$-$S$ model, the set of single time-delay linear systems can be integrated into a global model that is equivalent to the single time-delay system. Then for each subsystem we design the variable structure control. Based on the fuzzy logic, a global variable structure controller is designed for single time-delay linear systems. The stability of sliding mode is proven. Simulation is presented to show the effectiveness of this control strategy.