对于仿射非线性系统状态方程,对其右端进行Taylor展开,使之成为状态变量的无穷级数形式。利用微分方程理论,求得该方程的级数形式的任意阶近似解析解。
By making of the Taylor expansion, the state equation of affine nonlinear systems is converted to a set of equations for state variation with infinite series expression. Based on the theory of differential equation, any order approximate solution with series expression for the state equation of affine nonlinear systems is obtained.