烟台大学学报（自然科学与工程版）2017，Vol.30Issue(3)：180-184,5.DOI:10.13951/j.cnki.37-1213/n.2017.03.002
质量-弹簧-阻尼系统的随机跟踪控制
Stochastic Tracking Control of Mass-Spring-Damper System
摘要
Abstract
The tracking control problem is considered for a class of mass-spring-damper system in random vibration environment.The deterministic dynamic model is established according to the principle of Lagrange mechanics, and then, the random vibration of the environment is transformed to the equivalent random disturbance according to the dynamic static method and the relative motion principle, to obtain the stochastic Lagrange equation of the mass-spring-damper system.The second order Lagrange equation is transformed into a first-order system in the quasi lower triangle structure, then the tracking controller is designed by using backstepping technique in vector form, such that all signals of the closed-loop system are bounded in probability and the tracking error can be adjusted arbitrarily small.The simulation results show the effectiveness of the control strategy.关键词
随机系统/Lagrange系统/Backstepping/平稳过程Key words
stochastic system/Lagrange system/Backstepping/stationary process分类
数理科学引用本文复制引用
耿良超,吴昭景..质量-弹簧-阻尼系统的随机跟踪控制[J].烟台大学学报（自然科学与工程版）,2017,30(3):180-184,5.基金项目
国家自然科学基金资助项目(61273128) （61273128）
研究生科技创新基金(YDYB1613). （YDYB1613）
