中文摘要：

研究了一类广义系统的快速终端滑模控制问题。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,提出了一种新的指数型快速终端滑模控制策略,给出了特殊的指数型终端滑模超曲面,设计了相应的终端滑模控制器,使得闭环系统渐进稳定,实现了滑模运动,保证了系统状态变量以较快的收敛速度在有限时间内到达平衡点。给出了数值算例,说明了设计的可行性和有效性。

英文摘要：

In this paper,the fast terminal sliding mode control for a class of singular systems is studied.The singular systems are transformed into restricted equivalent forms by a nonsingular linear transformation.By the method of Lyapunov function,a novel exponential fast terminal sliding mode control strategy is proposed.A special exponential terminal sliding mode hypersurface 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 with a fast convergence rat in finite time.Finally,a numerical example is presented to illustrate the feasibility and effectiveness of the design.