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抛物型系统点切换控制下的近似能控性

发表时间:2011-01-15  浏览量:1580  下载量:675
全部作者: 张凤岩,贾超华
作者单位: 北京航空航天大学数学与系统科学学院
摘 要: 考虑带有2个控制函数的一维抛物型系统,证明了在内部点控制和分布控制2种控制形式下,均可找到2个控制函数以切换作用的形式使系统近似能控。这里切换作用是指任意时刻系统的2个控制函数必须有1个是无效的,即它的函数值为零。研究的主要思想依据是变分法,关键是针对不同的系统构造恰当的二次泛函,并利用其极小值点构造控制函数,使其满足切换条件并使系统近似能控。
关 键 词: 控制理论;切换控制; 近似能控性; 抛物型系统
Title: Approximate controllability of 1-d parabolic system with switched internal controllers
Author: ZHANG Fengyan, JIA Chaohua
Organization: School of Mathematics and Systems Science, Beihang University
Abstract: This paper considers the 1-d parabolic system with two internal controls. At each moment one of the controls must be switched off, that is, its control value must be equal to zero. There must exist two switching controls making the system controllable approximately with the pointwise controls. The main research frame is calculus of variations. This paper first minimizes some quadratic functional, and then uses the point of minimum to construct the appropriate control functions, which make the system approximately controllable with just one effective at arbitrary instants of time.
Key words: control theory; switching control; approximate controllability; parabolic system
发表期数: 2011年1月第1期
引用格式: 张凤岩,贾超华. 抛物型系统点切换控制下的近似能控性[J]. 中国科技论文在线精品论文,2011,4(1):11-16.
 
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