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Hierarchical Control of Large-Scale Nonlinear Time-Varying Systems via Pgopo
非线性时变大系统递阶控制的PGOPO法

Keywords: Large,scale nonlinear time,varying system,piecewise general orthogonal polynomials operator,hierarchical control,optimal control
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

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Abstract:

In this paper 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.

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