摘要
本文讨论具有闭环极点约束的线性振动系统状态反馈主动控制设计问题。极点约束集是左半复平面上一个由圆形和带状区域构成的凸域 ,以闭环系统的H2 指标为优化目标 ,将该设计问题转化成一个易于计算的线性矩阵不等式 (LMI)约束的凸优化问题求解。最后运用本文方法对一个双层隔振系统模型进行状态反馈控制设计 。
A state-feedback active control design for linear vibration systems with regional pole placement is discussed.The regional pole constraints area is the intersection of a vertical strip and a disk in the open left-half complex plane.Taking the H 2 performance of the closed-loop vibration systems as a optimization objective,the design problem is converted into a convex optimization problem with linear matrix inequalities(LMIs) constraints,which is numerically tractable,Finally as an example a state-feedback control design of a two-storeyed isolation system is presented by using the method in the paper and the numerical simulation results are given out.
出处
《振动与冲击》
EI
CSCD
北大核心
2002年第3期67-69,共3页
Journal of Vibration and Shock
基金
武汉工业学院科研项目 (2 0 0 1B0 1 30 )