具有非线性扰动的中立型系统的变结构控制

VARIABLE STRUCTURE CONTROL FOR THE NEUTRAL TYPE SYSTEMS WITH NONLINEAR PERTURBATIONS

针对具有非线性扰动的中立型系统,利用变结构控制及时滞系统的一般结论选择切换函数,在非线性扰动的情形下,构造了变结构控制率,通过引进合理的Lyapunov函数证明了滑模渐近稳定,同时验证了满足到达条件。

Using the variable structure control and the general conclusion of the time - delay systems, the switching functions were chosen for the neutral type systems with nonlinear perturbations. The variable structure control laws were constructed under the condition of nonlinear perturbations. Based on Lyapunov function, it is showed that the sliding mode is asymptotically stable while the reach condition which is satisfied is checked.