针对随机干扰环境下的车辆座椅悬架系统,给出鲁棒H∞控制器设计方法。首先建立座椅悬架系统的动力学模型,在建模过程中同时考虑了系统中存在的参数不确定(质量、刚度、阻尼)和座椅随机振动因素。其次,基于随机微分方程理论和Lyapunov泛函理论设计出半主动控制器,给出控制器参数线性矩阵不等式解的形式,并保证系统的H∞性能指标。最后,随机输入下的时域和频域仿真结果表明,所提方法在参数不确定和随机干扰下能够有效衰减座椅悬架垂直加速度,提高人体乘坐舒适性。
The paper proposes the design method of robust H∞ controller of vehicle seat suspension system.The dynamic model of seat suspension is developed,and the parameters uncertainties(mass,stiffness,damping) and stochastic vibration are introduced into the model system.Based on stochastic differential theory and Lyapunov functional,a semi-controller is designed,and the controller parameters are solved by linear matrix inequality(LMI) which guarantees H∞ performance index.The simulation results in time domain and frequency domain show that the controller designed for parameter uncertainties and stochastic vibration can attenuate the vertical acceleration of suspension system and improve riding comfort of human.