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本文描述了Ｈ２ 性能约束下的离散控制系统ｌ１ 设计问题，并提出了该无穷维优化问题的一种上逼近解法，通过求解一系列的截断问题能够得到无穷维问题的次优解，混合ｌ１／ Ｈ２ 问题最优值对Ｈ２ 约束连续依赖的性质也在本文得到研究
This paper describes the design of discrete control system under the constraint of H2 performance, and proposes an approximate approach to the infinite dimensional optimization problem. By solving a series of truncation problems, a suboptimal solution of infinite dimensional problems can be obtained. The hybrid l1 / The nature of the H2-dependent optimal dependence on the H2 constraint is also studied in this paper