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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。
According to Lyapunov stability theory, the stability of linear singular impulsive systems is studied. By adding a fractional order controller to the system, a fractional order control model of a linear singular impulsive system is established. According to the system stability conditions, sufficient conditions for the asymptotic stability of the system are proposed. The design of fractional order impulsive controllers Finally, the effectiveness of fractional order pulse control is proved by simulation of continuous system, integer order pulse control system and fractional order pulse control system.