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
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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.数值仿真实例说明了给出的算法是有效的.
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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
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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