多时间尺度奇异摄动系统次优调节器的并行设计

Y. Wang, P. Frank
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引用次数: 2

摘要

用广义变量方法研究了具有多时间尺度奇异摄动的线性系统的近最优控制问题。将具有多时间尺度奇异扰动的近最优调节器问题分解为若干N+1个子调节器问题。解相互独立,是无寄生参数Riccati方程的标准解。给出了这些子稳压器问题并行解的算法。这些次优调节器的分层组合导致了近最优反馈控制器。线性二次型调节器(LQR)的谱分解表明,对于未知的小奇异摄动参数,近似最优控制器将保持最优LQR所建立的鲁棒增益和相位裕度。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Parallel design of suboptimal regulators for singularly perturbed systems with multiple-time scales
The problem for near optimal control of linear systems with multiple-time-scale singular perturbations is studied by a descriptor variable approach. The near optimum regulator problem with multiple-time-scale singular perturbations is decomposed into a number of N+1 subregulator problems. The solutions are mutually independent, and are standard solutions of Riccati equations without parasitic parameters. The algorithm for parallel solutions of these subregulator problems is presented. A hierarchical combination of these suboptimal regulators leads to the near-optimal feedback controller. The spectral factorization of the linear quadratic regulator (LQR) shows that for small and unknown singularly perturbed parameters, the near-optimal controller will preserve the robustness gain and phase margin as established in the optimal LQR.<>
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