Mixed l1/H2 control for MIMO discrete-time systems
MIMO离散时间系统混合l1/H2控制

The mixed l1/H2 optimization problem for MIMO discrete-time systems was presented. This problem was formulated as minimizing the l1-norm of a closed-loop transfer matrix while maintaining the H2-norm of another closed-loop transfer matrix at prescribed index. The existence of the optimal solutions of mixed l1/H2 problem is proved. A solving method of the mixed l1/H2 problem was given based on the scaled-Q method. A numeric simulation example indicated the effectiveness of the method.