摘要
针对一类非线性系统,研究基于T-S模型的跟踪控制问题。利用T-S模型对非线性系统建模并考虑到建模误差。非线性系统的跟踪目标是一个稳定的线性模型。针对被控系统的跟踪误差,推导出跟踪误差稳定的约束条件。在跟踪误差稳定的前提下,设计模糊控制器保证系统的稳定性。基于李亚普诺夫稳定性理论和线性矩阵不等式理论,得到闭环系统渐进稳定的充分条件。仿真结果验证了所提控制方法的有效性。
The problem on fuzzy robust tracking control for a class of nonlinear systems was studied. The nonlinear system is approximated by T-S model with the modeling error being considered. The tracking aim is a stable linear system. The condition of the tracking error being exponential stability is proposed. Under this condition, a fuzzy robust controller is designed to guarantee the controlled system to be stable. The coherence of tracking control and stabilization control of the fuzzy systems is proved by using Lyapunov stability theory combining with linear matrix inequalities （LMIs）. Simulation results demonstrate the effectiveness of the proposed approach.
出处
《辽宁工业大学学报（自然科学版）》
2013年第4期220-222,226,共4页
Journal of Liaoning University of Technology(Natural Science Edition)
