高阶不确定非线性系统切换自适应镇定  

ADAPTIVE STABILIZATION VIA SWITCHING FOR HIGH-ORDER UNCERTAIN NONLINEAR SYSTEMS

作　　者：满永超[1] 刘允刚[1] 

机构地区：[1]山东大学控制科学与工程学院,济南250061

出　　处：《系统科学与数学》2013年第6期661-670,共10页Journal of Systems Science and Mathematical Sciences

基　　金：国家自然科学基金(61273084;61233014);山东省自然科学杰出青年基金(JQ200919);山东大学自主创新基金(2012JC014)资助项目

摘　　要：研究了一类控制系数未知高阶不确定非线性系统的全局自适应稳定控制设计问题.值得指出的是,更高的系统幂次和未知的控制系数显示系统容许更强的非线性和更严重的不确定性/未知性,因而所研究的系统更具一般性.这里不是采用传统自适应技术,而是通过灵活运用基于切换的自适应技术和增加幂积分方法,给出了该控制问题的结构简单且易于实现的新型切换自适应控制器.所设计控制器保证闭环系统状态全局有界且最终趋于零.This paper considers the global adaptive stabilizing control design for a class of high-order uncertain nonlinear systems with unknown control coefficients. Notably, the systems under investigation are more general than those in the existing literature, since the higher system orders and the unknown control coefficients make the systems allow stronger nonlinearities and more serious uncertainties/unknowns. By skillfully applying the method of adaptive control via switching （rather than the traditional ones）, and adding a power integrator, this paper presents a novel adaptive controller via switching, which is simple and easy to implement. The involved con- troller guarantees that all states of the closed-loop system are globally bounded and furthermore ultimately converge to zero.

关 键 词：高阶非线性系统 未知控制系数 状态反馈镇定 基于切换的自适应控制 

分 类 号：O231[理学—运筹学与控制论]