智能悬臂梁的降阶H_2控制  

Reduced order H_2 control of a smart cantilever beam

作　　者：彭程[1] 王永[1] 

机构地区：[1]中国科学技术大学自动化系,安徽合肥230027

出　　处：《中国科学技术大学学报》2008年第3期252-256,共5页JUSTC

摘　　要：利用频域辨识方法得到智能悬臂梁的传递函数模型,在此基础上研究了柔性梁的降阶H2控制问题.首先利用系统增广技术将降阶H2控制问题转化为静态输出反馈问题;然后利用CCL(cone complementarity linearization)算法求解该静态输出反馈问题,给出了降阶控制器设计的结果,并与全阶控制器进行了性能比较.由于CCL算法是一种依赖于初值的迭代求解算法,无法保证得到全局最优解,迭代初值的选取就显得尤为重要,为此对初值选取进行了讨论;最后,对设计的控制器在柔性梁物理实验系统上进行了验证,实验结果表明了设计的有效性.The model of a cantilever beam using piezoceramics was identified in the frequency domain. Reduced order H2 control of the beam was studied on the basis of this model. The problem was first reduced to a static output feedback problem of an augmented system. The cone complementarity linearization （CCL） algorithm was then used to solve the static output feedback problem. The reduced order output feedback controllers were given and compared with the full order controller. The initial point of the CCL algorithm was also addressed. Finally, the experimental results show that the reduced order H2 controller can suppress the vibration of the flexible beam effectively.

关 键 词：降阶H2控制 输出反馈控制 柔性梁 线性矩阵不等式 CCL算法 

分 类 号：TB535[理学—物理]