基于稳定性分析的一类欠驱动系统的滑模控制器设计

Design of Sliding mode Controller Based on Stable Analysis for a Class of Underactuated Systems

  • 摘要: 从稳定分析的角度提出了一种欠驱动系统的新型滑模控制方法.该方法将各个子系统的一个变量进行组合定义成一个中间变量,然后从这个中间变量出发构造滑模函数,通过求取总的控制量保证中间变量在有限时间内收敛到平衡点;进一步利用LaSalle不变性原理证明该收敛域内只有一个平衡点且是渐近稳定的.仿真实验进一步验证了该结论.

     

    Abstract: A new sliding mode control(SMC)method based on stable analysis for a class of underactuated systems is presented.In this method,an interim variable is defined by combining one variable of each subsystem.The interim variable is used to construct the sliding mode function and the total control law can be derived to guarantee the equilibrium point is reachable in finite time.Using LaSalle invariance theorem,it can be proved further that the equilibrium field only includes one equilibrium point and the equilibrium point is asymptotically stable.The simulation results validate the conclusion.

     

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