一类非线性系统基于LS-SVM的自适应滑模控制  

Adaptive Sliding Mode Control of a Class of Nonlinear Systems Using LS-SVM

作　　者：谢春利 赵丹丹 XIE Chun-li;ZHAO Dan-dan(School of Electromechanical Engineering;School of Computer Science and Engineering,Dalian Minzu University,Dalian Liaoning 116605,China)

机构地区：[1]大连民族大学机电工程学院,辽宁大连116605 [2]大连民族大学计算机科学与工程学院,辽宁大连116605

出　　处：《大连民族大学学报》2018年第5期404-407,共4页Journal of Dalian Minzu University

基　　金：国家自然科学基金资助项目(60975071);中央高校基本科研业务费专项资金资助项目(0102-20000101)

摘　　要：针对一类具有不确定性和外部扰动的非线性系统,研究了一种基于李雅普诺夫函数和最小二乘支持向量机的自适应滑模控制方案。该方案利用LS-SVM回归的逼近能力设计反馈线性化控制器,并推导出控制器权值参数向量的自适应律。通过滑模控制技术提高系统对外部干扰和逼近误差的鲁棒性。利用李雅普诺夫函数方法证明了整个闭环系统的稳定性。仿真研究验证了所提控制方案的可行性和有效性。A scheme of adaptive sliding mode control （SMC） based on least squares support vector machines （ LS - SVM） and Lyapunov function is studied for a class of nonlinear uncertain systems with uncertainty and external disturbances. In this method, the approximation capacity of LS - SVM regression is employed to design the feedback linearized controller, and an adaptive law for the weighting parameter vector is derived. The robustness of the system to external disturbances and the approximation errors are improved by the SMC technique. The stability of the closed - loop system is proved by Lyapunov function method. The simulation result shows the effectiveness and feasibility of the proposed method.

关 键 词：非线性系统 最小二乘支持向量机 自适应控制 滑模控制 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]