摘要
研究了广义系统带最坏初始条件和干扰抑制的奇异线性二次优化问题。通过引入广义逆矩阵和半受限等价变换等手段,将文[7]对参数的限制条件换成一个系统系数矩阵的秩约束条件,仍得到最坏干扰和最优控制状态对均存在且唯一,最优控制可被综合为状态回馈,并且闭环系统的所有有限特征值均落在左半开复平面。由于验证系统系数矩阵的秩约束条件比寻找符合限制条件的参数更容易一些,从而本文提出的方法更有利于工程实现。
The problem of singular linear quadratic （LQ） performance with the worst initial condition and disturb- ance rejection for rectangular descriptor systems is considered. Using generalized inverses of matrices and semi - re- stricted equivalent transformations, the restricted conditions on parameters in [ 7 ] is replaced by a rank constraint condition of coefficient matrices of systems, under which the existence and uniqueness of the worst disturbance and the optimal control - state pair can be obtained, the optimal control can be synthesized as state feedback, and all the finite eigenvalues of the closed - loop system are located on the open left - half complex plane. Since verifying the rank constraint condition of coefficient matrices is easier than finding a parameter to satisfy some restricted conditions, the proposed method is available and convenient to the realization of engineering.
出处
《黑龙江大学自然科学学报》
CAS
北大核心
2008年第1期34-41,共8页
Journal of Natural Science of Heilongjiang University
基金
黑龙江省博士后科研启动基金资助项目
黑龙江省教育厅科研项目资助(11521313)
关键词
广义系统
半受限等价变换
初始条件
干扰抑制
状态反馈
descriptor systems
semi - restricted equivalent transaction
initial condition
disturbance rejection
state feedback
