能量平衡控制的稳态误差和全局稳定性分析

石冰清; 赵争鸣; 袁立强; 冯高辉

doi:10.16511/j.cnki.qhdxxb.2020.21.008

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清华大学学报（自然科学版） ›› 2020, Vol. 60 ›› Issue (9) : 740-750. DOI: 10.16511/j.cnki.qhdxxb.2020.21.008

电机工程

能量平衡控制的稳态误差和全局稳定性分析

石冰清, 赵争鸣, 袁立强, 冯高辉

作者信息 +

Steady-state error and global stability analysis of energy balance control

SHI Bingqing, ZHAO Zhengming, YUAN Liqiang, FENG Gaohui

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文章历史 +

摘要

能量平衡控制是从能量角度出发的一种控制策略。相比传统控制方法，能量平衡控制通过将电压电流归结为储能元件中的能量而达到协调统一控制多个目标；根据系统数学模型由能量或功率控制目标精确计算控制信号，从而达到控制性能的协调提升。但现有的能量平衡控制既没有稳态误差分析也没有减小稳态误差的方法，还缺少全局稳定性分析。该文针对能量平衡控制提出了稳态误差和全局稳定性分析，首先将现有的3种能量平衡控制等价为“外环滑模面+内环”的形式，在此基础上定量分析稳态误差并加入了全局Lyapunov稳定性分析，给出了能量平衡控制参数的设置方法。

Abstract

Energy balance control uses electromagnetic energy conversion for system control. Energy balance control can provide coordinated, unified control of multiple goals that conditional controllers cannot provide by replacing the voltage and current with the energy into the energy storage elements. A system model is used to determine the control variable from the energy or power control target to improve the control system. However, the energy balance control method does not have either a steady state error analysis or a method to reduce the steady state error and there is no global stability analysis. This paper presents a steady-state error and global stability analysis for energy balance control. The three existing energy balance control methods have equivalent forms of the outer loop sliding mode surface and the inner loop controller. These are used to quantitatively analyze the steady-state error. A global Lyapunov stability analysis is provided along with a method for setting the energy balance control parameters.

导出引用

石冰清, 赵争鸣, 袁立强, 冯高辉. 能量平衡控制的稳态误差和全局稳定性分析[J]. 清华大学学报（自然科学版）. 2020, 60(9): 740-750 https://doi.org/10.16511/j.cnki.qhdxxb.2020.21.008

SHI Bingqing, ZHAO Zhengming, YUAN Liqiang, FENG Gaohui. Steady-state error and global stability analysis of energy balance control[J]. Journal of Tsinghua University(Science and Technology). 2020, 60(9): 740-750 https://doi.org/10.16511/j.cnki.qhdxxb.2020.21.008

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基金

赵争鸣,教授,E-mail:zhaozm@tsinghua.edu.cn

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收稿日期	出版日期
2020-01-17	2020-09-15
发布日期
2020-07-04

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