广义系统的有限时间滑模变结构控制

研究了一类广义系统的有限时间滑模变结构控制问题。通过非奇异线性变换把广义系统变换成受限等价形式,利用Lyapunov函数的方法，提出了一种新型的有限时间滑模变结构控制策略，给出了特殊的开关型滑模面，设计了相应的滑模变结构控制器，使得闭环系统渐进稳定，实现了滑模运动，保证了在滑模面上系统状态变量在有限时间内到达平衡点。给出了可行性算例，说明了设计的有效性。

Finite-time Sliding Mode Variable Structure Control for Singular Systems

In this paper, finite-time sliding mode variable structure control for a class of singular systems is considered. The singular systems are transformed into restricted equivalent forms by a nonsingular linear transformation. By Lyapunov function method, a novel finite-time sliding mode variable structure control strategy is proposed. A special switching sliding mode hyperplane is given and a controller is designed correspondingly, such that the asymptotic stability of the closed-loop system is guaranteed, the motion of sliding mode is realized, and the system state variables can converge to the equilibrium point in finite time. Finally, a numerical example is presented to illustrate the validity of the approach.