摘要
研究了MIMO(多输入多输出)离散时间系统的混合l1/H2优化问题,该问题可描述为最优化一个传递函数矩阵的l1范数同时保证另一个传递函数矩阵的H2范数满足预定的指标.研究了最优目标函数值关于H2范数指标的连续性.证明了MIMO系统混合l1/H2控制问题最优解的存在性.由于基于标定＿Q(scaled＿Q)方法求解MIMO混合l1/H2问题,避免了进行零点插值运算的困难.通过求解有限维非线性规划问题可得到最优目标值的收敛的上下界.
The mixed l_1/H_2 optimization problem for MIMO discrete-time systems was presented. This problem was formulated as minimizing the l_1-norm of a closed-loop transfer matrix while maintaining the H_2-norm of another closed-loop transfer matrix at prescribed index. The existence of the optimal solutions of mixed l_1/H_2 problem is proved. A solving method of the mixed l_1/H_2 problem was given based on the scaled-Q method. A numeric simulation example indicated the effectiveness of the method.
出处
《控制理论与应用》
EI
CAS
CSCD
北大核心
2004年第1期101-106,共6页
Control Theory & Applications
基金
国家自然科学基金项目(60374009)
广东省自然科学基金项目(990795).
