滞后广义系统的变结构控制

运用变结构控制方法,研究了控制具滞后和控制不具滞后的滞后广义系统,对这两类滞后广义系统,利用滞后积分来选取切换流形,设计变结构控制率.分析了切换流形上其滑动模态区的存在性.利用广义Lyapunov泛函分析了其闭环系统的稳定性,给出了其闭环系统渐近稳定的充分条件.为了说明文中定理的可行性,给出了一个数值实例.通过该例子,可看出其变结构控制器设计与无滞后的广义系统和古典系统的变结构控制器的设计不同.

Variable Struture Control for Singular System With Time-Delay

The methods of variable structure control are employed to study two classes singular systems with time-delay. The switch surfaces are chosen and the laws of variable control are designed by the integral with time-delay. The existence of the sliding model is analyzed along the sliding surface. The stability of the close loop systems is analyzed by singular Lyapunov function. The sufficient conditions are obtained to guarantee the close loop systems to be asymptotic stability, in order to validate the theorem in the paper, an feasible example is given. It is different the designing of variable control for the classes singular systems with time-delay from that of the singular systems without time-delay and classical systems through this example.