基于Popov超稳定性理论的模糊自适应控制器设计方法

摘要

对一类常见的非线性系统,利用Popov超稳定性理论得到一种模糊自适应控制方案,该方案在模型匹配的条件下能保证闭环系统的(渐近)稳定性.当模型匹配条件不满足时,通过引入一个辅助控制量使系统仍保持稳定.因此,文中提出的方法普遍适用于一类非线性离散或连续控制系统的设计.%By using Popov's hyperstability theory，a fuzzy adaptive control scheme is proposed to control a class of nonlinear systems in this paper.The asymptotic stability of the closed-loop system can be assured by this control scheme under the model-match condition.When the model-match condition does not hold, an accessory control term is employed to keep the stability of the system.So，the method proposed is generally applicable to a class of nonlinear systems，discrete or continuous.