摘要
区域极点和稳态方差是表征控制系统性能的两个重要指标,通过把扇形区域极点指标和稳态方差指标融入到一个修正的Lyapunov方程,研究了扇形区域极点和稳态方差上界约束下的状态反馈控制问题。利用矩阵广义逆和矩阵分解的方法得到了扇形区域极点和稳态方差可配置条件以及控制器的求取方法,所得控制器表达式中含有自由参数,便于控制器的工程实现,也为选取控制器的自由参数来使控制系统满足更多的性能指标留下了余地。
Regional pole and steady covariance are the two important indices to indicate the performances of the control system. By mixing the indices of sector pole and steady covariance into one modified Lyapunov equation, state feedback control problem with these two indices is studied for a class of linear stochastic systems. Based on the method of the generalized matrix inverse and matrix decomposition, a sufficient condition is formulated for the pole assignment and upper-bound variance being assigned via state feedback. Also formulated is the expression of the corresponding state feedback, which explicitly contatins two free matrices. Therefore,the design method proposed this paper is convenient for the control implementation ,and can also give space for control system to meet other indices by selecting the free parameter.
出处
《火力与指挥控制》
CSCD
北大核心
2006年第11期12-14,共3页
Fire Control & Command Control
基金
国家自然科学基金资助项目(60174028)
高校博士点基金资助项目(20040288002)
关键词
扇形区域
极点配置
稳态方差
满意控制
矩阵分解
sector, pole placement, steady covariance ,satisfactory control, matrix decomposing
