一般非线性系统的精确线性化

Exact Linearization for General Nonlinear Control System

讨论了一般非线性控制系统状态方程无反馈精确线性化及反馈精确线性化．引入一类相关的仿射非线性系统（即伴随系统），通过研究一般非线性系统与其伴随系统的关系，利用伴随系统的精确线性化结论，获得一般非线性系统精确线性化的充要条件，其结果包含了仿射非线性系统的已有结果．所提出方法适用于解决一般非线性系统的其他精确线性化问题．

Exact linearization problems of general nonlinear control systems were discussed. At first, it defined an adjoint system by introducing an affine nonlinear system. Then, the relations between the general nonlinear systems and its adjoint system were discussed, from which the sufficient and necessity conditions for exact linearization of general nonlinear control systems were obtained. The conclusions include the corresponding results of the affine nonlinear systems. The proposed methods can be used to solve other problems of exact linearization for general nonlinear control systems.