非线性时变大系统递阶控制的PGOPO法  

HIERARCHICAL CONTROL OF LARGE-SCALE NONLINEAR TIME-VARYING SYSTEMS VIA PGOPO

作　　者：吴斌[1] 程鹏[1] 

机构地区：[1]北京航空航天大学自动控制系,北京100083

出　　处：《自动化学报》2001年第6期777-783,共7页Acta Automatica Sinica

基　　金：国家自然科学基金重点项目 (6993 40 1 0 );清华大学信息学院基础创新研究基金(985信息 -0 1 -基金 -0 1 )资助课题

摘　　要：提出了一类新型的线性、有界算子——分段广义正交多项式算子 (PGOPO) ,建立了其主要性质及运算规则 ;随后将 PGOPO法用于求解非线性时变大系统最优控制问题 .在这种新型逼近运算中将 PGOPO法和改进型关联预估法相结合 ,得出显式递阶递推算法更易于计算机计算和推广 .A new linear, continuous and bounded operator - piecewise general orthogonal polynomials operator (PGOPO) is proposed, and its main properties and operational rules are described. By applying PGOPO to the hierarchical control for large-scale nonlinear time-varying systems, an effective method is proposed. Some relevant algorithms are presented and they are simple and computationally advantageous. A numerical example is given for illustrative purposes.

关 键 词：非线性时变大系统 分段广义正交多项式算子 递阶控制 最优控制 PGOPO 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]