一类时滞系统的模糊跟踪控制及其仿真

Fuzzy Tracking Control for Time-delay Systems and Its Simulation

研究了一种基于模糊T-S模型的非线性时滞系统模糊跟踪控制问题。首先利用模糊T-S模型对不确定非线性系统进行模糊建模,然后在此基础上研究了模糊系统在状态可测与不可测的情况下的模糊跟踪问题。控制器的设计避开了复杂的精确反馈线性化与自适应方法。采用本方法,可将控制器的设计问题转化为求解线性矩阵不等式问题,再利用凸优化技术可将其有效地解决。因此该方法既简单又实用,并且通过仿真实例说明了它的有效性与正确性。

A fuzzy tracking control technique for nonlinear time-delay system based on fuzzy T-S model was developed. Fuzzy T-S model with parametric uncertainties was employed to represent a nonlinear time-delay system. Based on fuzzy T-S model, fuzzy tracking control was researched on condition that the system is measurable and not, respectively. The advantage of proposed tracking control design is that only a simple fuzzy controller is used in approach without feedback liberalization technique and complicated adaptive scheme. By the proposed method, the controller design problem can be converted into a linear matrix inequality problem （LMI）. The LMI can be solved very efficiently using convex optimization techniques. Simulation example is given to testify the validity and efficiency of the proposed method.