基于滞后型系统理论的半主动悬架控制系统稳定性分析

Stability analysis of semi-active suspension control system based on hysteresis system theory

为了研究时滞对于半主动悬架系统稳定性的影响,建立含时滞的二自由度半主动悬架模型,依据滞后型系统稳定性理论运用改进的全时滞稳定代数判据推导出满足系统全时滞稳定的充要条件,得到可控阻尼的取值范围。针对不符合全时滞稳定条件的半主动悬架参数,提出运用稳定性切换点分析法求取实际所需的稳定性切换点及其稳定性区间。通过时域仿真发现在全时滞稳定情况下时滞的产生并非会导致悬架性能的恶化。在非全时滞稳定的情况下,随着时滞的增加悬架性能不断下降并在超过稳定性切换点时发生剧烈恶化。

In order to study effects of time delay on stability of a semi-active suspension system,a 2-DOF semi-active suspension model with time delay was established,and sufficient and necessary conditions to satisfy all delay stability of the system was derived by using the improved all delay stability algebraic criterion according to the stability theory of time delay system,and the range of controllable damping value was obtained.Aiming at semi-active suspension parameters not satisfying the all delay stability condition,the stability switching point analysis method was proposed to solve and obtain the actual stability switching point and its stability interval.The time-domain simulation showed that the generation of time delay does not lead to the deterioration of suspension performance under the all delay stability condition;under the condition of non-all delay stability,the performance of suspension drops with increase in time delay and worsens sharply when time delay exceeds the stability switching point.