线性奇异脉冲系统的分数阶控制

Fractional-Order Controller Design for Linear Singular Impulsive Systems

根据李雅普诺夫稳定性理论,研究了线性奇异脉冲系统的稳定性问题。通过对该系统添加分数阶控制器,建立了线性奇异脉冲系统的分数阶控制模型,根据系统稳定条件,提出了使得相应系统渐近稳定的充分条件,并给出了分数阶脉冲控制器的设计方法,最后,通过仿真连续系统、整数阶脉冲控制系统和分数阶脉冲控制系统,证明了分数阶脉冲控制的有效性。

By employing the method of Lyapunov function,the problem of stability for linear singular impulsive systems is researched. The model of linear singular impulsive control systems is established when a fractional-order controller is applied. According to stability theory, an asymptotically stability condition is proposed,and the fractional-order impulsive controller design method is derived. Compared with the continuous systems and the integer-order impulsive control systems,the fractional-order impulsive controller is more effective.