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采用对系统的基底坐标变换后,可以使一个非线性系统在输入输出特性上与线性系统等价。文中给出了这种等价变换的条件、计算方法和步骤。等价的线性系统采用可控标准型,并引入可任意配置的系数。这样,就可以利用线性系统的理论对系统进行极点配置得到所期望的特性,为非线性控制系统的设计提供了一种新的方法。作者最后对某种非线性控制系统,用上述方法进行设计,并用仿真结果验证了这种方法的可行性。
With the transformation of the base coordinates of the system, a non-linear system can be equivalent to the linear system in its input-output characteristics. The conditions, calculation methods and steps of this equivalent transformation are given in the paper. The equivalent linear system uses a controllable standard type and introduces a freely configurable coefficient. In this way, the system can be pole-configured using the theory of linear systems to obtain the desired characteristics, which provides a new method for the design of nonlinear control systems. Finally, the author designs a kind of nonlinear control system with the above method, and verifies the feasibility of this method with simulation results.