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针对一类状态不可测的单输入单输出非仿射非线性系统,提出了一种基于极值搜索控制的输出跟踪控制方法.该方法利用系统的输出量和极值搜索变量形成反馈控制律,应用平均化方法转化得到系统的平均化模型,并采用奇异值扰动分析方法,证明了所提出的控制方法可保证闭环系统的稳定性和输出跟踪误差的收敛性.将Rossler混沌系统作为仿真对象进行仿真,验证了该方法的有效性.
In this paper, an output tracking control method based on extremum search control is proposed for a class of univariate input single output non-affine nonlinear systems whose state is not measurable. This method uses the system output and extremum search variables to form the feedback control law, The averaging model is transformed by using the averaging method, and the singular value perturbation analysis method is used to prove that the proposed control method can ensure the stability of the closed-loop system and the convergence of the output tracking error. The Rossler chaotic system is taken as the simulation object Simulation shows that the method is effective.