滑模控制
举例说明滑模控制
对于一个典型的二阶系统
x˙1=x2{
{\dot x}_1} = {x_2}x˙1=x2x˙2=h(x)+g(x)u {
{\dot x}_2} = h\left( x \right) + g\left( x \right)u x˙2=h(x)+g(x)u
其中g(x)>g0>0g\left( x \right) > g_0>0g(x)>g0>0
设计一个滑模面s=a1x1+x2s = {a_1}{x_1} + {x_2}s=a1x1+x2,对sss微分,则s˙=a1x2+h(x)+g(x)u.假设\dot s = {a_1}{x_2} + h\left( x \right) + g\left( x \right)u.假设s˙=a1<