一类非线性系统模糊自适应鲁棒控制  

Stable fuzzy adaptive robust control for a class of nonlinear system

作　　者：魏立新[1] 陈增伟[1] 王洪瑞[1] 李静[2] 

机构地区：[1]燕山大学电气工程学院,河北秦皇岛066004 [2]石家庄铁道学院计算与信息工程分院,河北石家庄050043

出　　处：《电机与控制学报》2008年第1期65-68,共4页Electric Machines and Control

基　　金：河北省自然科学基金资助项目(F2004000260);燕山大学博士基金资助项目(B230)

摘　　要：针对一类不确定性非线性系统的传统模糊自适应控制方案存在的缺陷,利用第一类模糊逻辑系统直接作为非线性系统控制器,提出了一种模糊自适应鲁棒控制策略。在传统方案的基础上加入鲁棒补偿项,取消监督控制项,进一步放宽稳定条件到最小近似误差有界,利用Lyapunov稳定性理论证明了系统的全局稳定性。通过对二阶混沌对象仿真结果表明,鲁棒控制有效地补偿了稳态误差,解决了单一模糊自适应控制寻优空间有限问题。Aiming at the system with uncertainty, shortcoming of traditional fuzzy adaptive control strategy for a kind of nonlinear using the first kind of fuzzy logic system as the controller for nonlinear system, a kind of fuzzy adaptive robust control strategy is presented. Robust compensation is added based on original control proposal, the supervision control term is deleted and the stable condition is further broaden to minimum approximation error bound. Global stability of the system is proved via the theory of Lyapunov stability. At last, the simulation for Second-order chaotic object shows that the steady-state error is compensated effectively. The optimization space limitation problem for single fuzzy adaptive control has been settled.

关 键 词：非线性系统 模糊自适应 鲁棒补偿 LYAPUNOV稳定性 

分 类 号：TP273.4[自动化与计算机技术—检测技术与自动化装置]