参数不确定离散广义系统的H_2/H_∞优化控制

H_2/H_∞ Optimal Control for Discrete Singular Systems with Parameter Uncertainties

利用线性矩阵不等式(LMI)研究一类不确定离散广义系统的鲁棒H2/H∞优化控制问题.对系统所有允许的不确定参数,提出了满足鲁棒H2/H∞混合性能的一个充分条件,以设计状态反馈控制律,保证闭环系统是允许的且满足鲁棒H2/H∞混合性能,得到了该问题可解的一个矩阵不等式的充分条件,并给出一个控制律的设计.

The problem of robust H2/H∞ optimal control for uncertain discrete singular systems was studied with the help of linear matrix inequality approach.A sufficient condition was presented for the systems to satisfy the robust H2/H∞ mixed performance for all admissible uncertainties.The condition can be used to design state feedback controllers,and the resulting closed-loop system is admissible and satisfies the robust H2/H∞ performance.A sufficient condition of matrices inequalities was obtained and a state feedback controller was designed.