广义系统的有限时间滑模变结构控制

Finite-time Sliding Mode Variable Structure Control for Singular Systems

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超平面,设计了相应的滑模变结构控制器,使得闭环系统渐近稳定,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,说明设计的有效性.

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 hyper-plane is given and a sliding mode variable structure controller is designed correspondingly.Thus 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.