基于Popov超稳定性理论的模糊自适应控制器设计方法

DESIGN OF FUZZY ADAPTIVE CONTROLLER BASED ON POPOV'S HYPERSTABILITY THEORY

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 。

By using Popov's hyperstability theory, a fuzzy adaptive control scheme is proposed to control a class of nonlinear systems. 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 auxiliary control term is employed to keep the stability of the system. So, the proposed method is generally applicable to a class of discrete or continuous nonlinear systems.