摘要
针对一类带有内部干扰和未知非线性函数的非线性系统,首先基于伸缩器和饱和器的概念,将一个时变伸缩因子ρ-1引入到T-S模糊逻辑系统的输入而形成扩展模糊逻辑系统,然后利用该模糊逻辑系统给出一种时变伸缩因子参数的自适应滑模控制器的设计方法。其中非线性系统中的未知非线性函数采用T-S模糊逻辑系统进行逼近,故只需较少的模糊规则即可达到逼近要求,而且参数自适应率的个数与模糊逻辑系统中的模糊规则数无关,因此该方法不仅有效地减少在线运算量,而且在有限的时间内实现跟踪控制。最后,对带有干扰项和未知非线性函数的Duffing混沌系统完成了目标跟踪仿真,仿真结果验证了该控制算法的有效性和可行性。
For a class of nonlinear systems with disturbances and unknown nonlinearities,at first,the inputs of the T-S fuzzy logic system by introducing a time varying scaling factorρ-1 be constructed to form the extended fuzzy logic system based on the definitions of scalars and saturators,then a design method of adaptive sliding control with adjustable scalars parameters is proposed by employing the extended fuzzy logic systems.As the T-S fuzzy logic systems is employed to approximate the unknown nonlinearities in the nonlinear systems,and can reach the requirement of approximation by small number of fuzzy rules,and the number of adaptive laws is no matter with the number of rules,so the tracking control algorithm proposed in this paper is able not only to reduce the online computation but also to achieve tracking control in limited time.Finally,the simulation of target tracking is achieved for the Duffing chaotic system with disturbances and unknown nonlinearities,and the simulation results show the validity and feasibility of the proposed control algorithm.
出处
《重庆师范大学学报（自然科学版）》
CAS
CSCD
北大核心
2016年第5期128-132,共5页
Journal of Chongqing Normal University:Natural Science
基金
国家自然科学基金(No.61273219)
重庆市教委科学技术研究项目(No.KJ131108
No.KJ1401029)
重庆三峡学院科学研究项目计划(No.14QN30)
