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时滞闭环力平衡传感系统的最优控制
Optimal control of a close-loop force-balance sensing system with time-delay
【Author】 Zhiqiang Liu;Lei Xia;Bin Wu;Ronghua Huan;Zhilong Huang;Department of Mechanics,Key Laboratory of Soft Machines and Smart,Zhejiang University;Advanced Technology Research Institute,Zhejiang University;
【机构】 浙江大学软机械与智能重点实验室; 浙江大学先进技术研究院;
【摘要】 与土木工程应用中的响应控制不同,力平衡传感系统中的激励是未知的,而控制器是为了实时测量未知激励而设计的。本文针对具有时滞的闭环力平衡传感系统提出了一种最优控制方法。通过引入测量误差作为新变量,将力平衡控制问题转化为具有时滞的响应最小化问题。然后,应用离散化方法,将连续时滞系统转化为无时滞的扩展离散系统,得到了最优力平衡控制力的解析表达式。为了说明所提出的控制方法的有效性,以一种实用的力平衡石英挠性加速度计(FBA)为例进行了优化控制。数值结果表明,该控制方法可以实现对宽带随机加速度信号的精确测量,其时延可达控制周期的10倍。此外,在保证测量精度的同时,该控制还能显著抑制FBA的振动响应,有利于获得较大的动态测量范围作为传感应用。
【Abstract】 Differing from the response control in civil and engineering application,the excitation in force-balance sensing system is unknown and the control is designed to measure the unknown excitation in real-time.In this paper,an optimal control for a close-loop force-balance sensing system with time-delay is proposed.By introducing the measurement errors as new variables,the force-balance control problem is transformed into a response minimization one with time-delay.Then,the discretization method is applied,the continuous time system with time-delay is converted into an extended discrete system without time-delay,from which the analytical expression of the optimal force-balance control force is obtained.To illustrate the effectiveness of the proposed control,the optimal control of a practical quartz flexible force-balance accelerometer(FBA) is solved as an application.Numerical results show that the proposed control can realize accurate measurement of wide-band random acceleration signals with a time-delay up to 10 times of control period.Besides,the proposed control can also significantly inhibit the vibration response of the FBA while guaranteeing the measurement accuracy,which will benefit the obtaining of a large dynamic measurement range as a sensing application.
【Key words】 random excitation; time-delay; optimal control; force-balance sensing;
- 【会议录名称】 第十三届全国随机振动理论与应用学术会议暨第十一届全国随机动力学学术会议论文摘要集
- 【会议名称】第十三届全国随机振动理论与应用学术会议暨第十一届全国随机动力学学术会议
- 【会议时间】2023-03-24
- 【会议地点】中国辽宁大连
- 【分类号】TP212;O232
- 【主办单位】中国振动工程学会