基于解析結(jié)構(gòu)的模糊控制器的穩(wěn)定性和一致逼近性分析

基于模糊控制的解析結(jié)構(gòu)理論，設(shè)計(jì)了輸入變量采用三角形、全交迭，等差間距分布的隸屬函數(shù)，輸出變量采用對稱、均勻分布的單點(diǎn)隸屬函數(shù)和線性控制規(guī)則的二維模糊控制器，推導(dǎo)了模糊控制器的解析表達(dá)式。利用Lyapunov 第二法論證了該模糊控制系統(tǒng)在平衡點(diǎn)處的局部穩(wěn)定性，并證明了模糊控制器的一致逼近性。
關(guān)鍵詞：模糊控制器；解析結(jié)構(gòu)；穩(wěn)定性；一致逼近性
Abstract: Based on the theory of analytical structure, a fuzzy controller with two inputs and one output is designed in this paper, whose input-membership is triangular, full-overlapped, unevenly and difference-space distribution, output-membership is symmetric, singleton and evenly distribution. With the analytical expression of fuzzy controller, it is discussed that the fuzzy control system has the same local stability as a linear PI controller at equilibrium point, and then it is proved that the fuzzy controller is universal approximation.
Key words: fuzzy controller, analytical structures, stability, universal approximation,