船舶力控减摇鳍模糊控制器设计及稳定性分析

建立了船舶力控减摇鳍控制系统的T-S(Takagi-Sugeno)模糊模型.根据输入采用标准模糊分划的模糊控制系统的定义和性质,通过构建分段光滑的Lyapunov函数提出了一个新的判定闭环T-S模糊控制系统稳定性的充分条件.该方法只需在各最大交叠规则组内分别寻找公共的正定矩阵,减小了以往稳定性判定方法的保守性和难度.在此基础上利用并行分布补偿(PDC)原理,进一步探讨了T-S模糊控制器的系统化设计方法,并具体设计了一种船舶力控减摇鳍的模糊控制器.计算机仿真结果验证了本文模糊控制器设计方法的有效性.

Fuzzy Controller Design and Stability Analysis for Ship Lift Feedback Fin Stabilizer

A Takagi-Sugeno (T-S) fuzzy model of ship lift feedback fin stabilizer control system is established. Based on the definitions and properties of fuzzy control systems employing standard fuzzy partition inputs, a new sufficient condition used for checking the stability of a closed-loop T-S fuzzy control system is proposed via Lyapunov direct method. This condition only requires to find a common positive-definite matrix in each maximal overlapped-rule group. It can reduce the conservatism and difficulty of the former stability analysis approaches. Using the principle of parallel distributed compensation (PDC), the systematic design method of fuzzy controller is proposed and applied to the fuzzy controller design of ship lift feedback fin stabilizer. The computer simulation results of a ship lift feedback fin stabilizer control system show that both the systematic design method and the stability analysis methods proposed by authors are effective.