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

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.