车辆主动悬架系统的双率采样H_∞控制  

Dual-rate Sampled-Data H_∞ Control for Vehicle Active Suspension Systems

作　　者：贾新春[1] 白伟[1] 张大伟[1] 

机构地区：[1]山西大学数学科学学院,山西太原030006

出　　处：《山西大学学报（自然科学版）》2015年第2期253-262,共10页Journal of Shanxi University(Natural Science Edition)

基　　金：国家自然科学基金(61374059;61403240);山西省国际科技合作计划(2013081040);山西省留学基金(2012-001)

摘　　要：研究了车辆主动悬架系统的双率采样H∞控制问题。系统的状态变量是由采样频率不同的两类传感器进行采样的,且假设两个采样频率的比值是一个正整数。根据两个不同采样率下的采样状态是否同时可利用,设计了一个周期切换控制器。利用输入时滞方法,将车辆主动悬架系统建模成一个带有不同输入时滞的切换系统。根据Lyapunov稳定性理论,得到具有特定H∞性能的系统指数稳定的充分条件以及关于切换控制器存在性的一个时滞依赖判据。最后,通过一个仿真例子说明了本文所提方法的有效性。The problem of dual-rate sampled-data H∞control for vehicle active suspension systems is studied.The state variables of the system are sampled by two types of sensors with different sampling rates,and the ratio of the two sampling rates is assumed to be a positive integer.According to whether the sampled states with two different sampling rates are available to be used simultaneously or separately,aperiodic switched controller is designed.By using an input delay approach,the vehicle active suspension system is modelled as a switched system with different input delays in the state.Based on the Lyapunov stability theory,a sufficient condition is obtained to ensure that the system is exponential stability with a prescribed H∞ performance.Moreover,a delay-dependent criterion on the existence of the switched controller is established.Finally,a numerical example is given to illustrate the effectiveness of the proposed method.

关 键 词：主动悬架系统 H∞控制 双率采样控制 输入时滞方法 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]