不确定时滞系统的自适应近似变结构控制

ADAPTIVE APPROXIMATE VARIABLE STRUCTURE CONTROL FOR A CLASS OF UNCERTAIN TIME DELAY SYSTEMS

  • 摘要: 针对一类具有未知不确定性范数上界的线性时滞系统,设计自适应近似变结构控制器,对系统的不确定性范数上界进行在线估计,近似变结构控制器使系统进入滑模运动区域,保证系统的一致终结有界性,进而用李雅谱诺夫函数方法分析了所得控制系统的性能.所提出的近似自适应变结构控制器可以避免控制器中的不连续继电项,同时不必已知系统不确定性范数界.用数字仿真例子验证了所提出控制器设计方法的有效性.

     

    Abstract: The synthesis problem for a class of uncertain time-delay systems with unknown upper norms of uncertainties is studied in this paper. First, the proper switching function is chosen such that the obtained equivalent sliding-mode motion is stable. Then, the normal variable structure controller(VSC) and the adaptive variable structure controller with the estimation for the upper norms of uncertainties are presented. Furthermore, the modified controllers are proposed to avoid from the chatting phenomenon in VSC.

     

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