基于Lyapunov方法的一类非线性系统分段线性化自适应控制  

Adaptive control of a class of nonlinear system using piecewise linearization based on Lyapunov's law

作　　者：刘小河[1] 殷杰[2] 张奇志[1] 

机构地区：[1]北京机械工业学院计算机及自动化系,北京100085 [2]清华大学自动化系,北京100084

出　　处：《控制理论与应用》2005年第5期829-833,共5页Control Theory & Applications

基　　金：国家自然科学基金资助项目(50277032);北京市教委科研基金项目

摘　　要：非仿射非线性系统在非线性系统领域的研究中还不够成熟.本文针对一类非仿射单输入单输出的非线性系统,采用分段线性化方法来处理对象的非线性,基于Lyapunov第二方法对分段线性化后的系统进行了自适应律的设计,并旦证明了其渐近稳定性,这为使用分段线性化方法来处理一类非线性系统提供了理论支持,基于所设计的自适应律,以电弧炉电极调节系统的自适应控制为例,进行了数字仿真.仿真结果表明了该设计方法的有效性,为处理一类非线性系统提供有益的思路.The piecewise linearization method is used to approach the nonlinearity of the plant when a class of non affme SISO nonlinear system is under consideration. The adaptive control law is induced on the base of the Lyapunov＇ s second law to ensure the global stability of the system and verified by the plant of the electrode regulator system of arc furnace. The simulation result shows the effectiveness of the design, which is of significant importance in dealing with a class of nonlinear system and can provide meaningful idea for the solving of some nonlinear system problem.

关 键 词：非线性系统 分段线性化 LYAPUNOV方法 自适应控制 

分 类 号：TP273.2[自动化与计算机技术—检测技术与自动化装置]