研究了奇异系统的终端滑模变结构控制问题.通过线性非奇异变换将奇异系统化为受限等价形式,在此基础上提出了一种指数型非线性滑动超曲面,并给出相应的控制律.研究表明,其闭环系统渐近稳定,同时系统的状态变量能够在有限时间内到达平衡点.试验验证了该设计方法的合理性和有效性.
The problem of terminal sliding mode control of singular systems is studied in this paper. Singular systems are transformed into equivalent forms with a nonsingular linear transformation. An exponential terminal sliding hypersurface and the corresponding controller are presented. The results show that, with this design, asymptotic stability of closed-loop systems is guaranteed while the system state variable can arrive at an equilibrium point in a finite time period. Numerical examples show that the designing method is reasonable and effective.