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A Convex Optimization Approach to Synthesizing Sparse Dynamic Output Feedback Controllers ?

机译:合成稀疏动态输出反馈控制器的凸优化方法

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This paper considers the problem of synthesizing dynamic output feedback controllers subject to structural sparsity constraints. It is well known that unless the plant and sparsity pattern satisfy the so-called quadratic invariance property, this problem is generically NP-hard. The main result of this paper shows that in these cases, a computationally attractive convex relaxation can be obtained by recasting the problem into an estimation form and exploiting recent results on sparse filter design. As illustrated with an example, the proposed approach compares favorably with existing techniques, in terms of its ability to find a suitable controller and the resulting closed-loop performance.
机译:本文考虑了在结构稀疏性约束下综合动态输出反馈控制器的问题。众所周知,除非植物和稀疏度模式满足所谓的二次不变性,否则这个问题通常是NP难的。本文的主要结果表明,在这些情况下,通过将问题重铸为估计形式并利用稀疏滤波器设计的最新结果,可以获得具有计算吸引力的凸松弛。如示例所示,就其找到合适控制器的能力和所产生的闭环性能而言,所提出的方法与现有技术相比具有优势。

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