A Convex Optimization Approach to Synthesizing Sparse Dynamic Output Feedback Controllers∗. Issue 14 (2015)

• Record Type: Journal Article
• Authors: Wang, Yin; Lopez, Jose; Sznaier, Mario
• Is Part Of: IFAC-PapersOnLine. Volume 48:Issue 14(2015)
• Page Start: 95
• Page End: 100
• Publication Date: 2015
• Subjects: Sparse Controller Synthesis -- Decentralized Control -- Optimization; Automatic control -- Periodicals; 629.805
• DOI: 10.1016/j.ifacol.2015.09.440
• Languages: English
• ISSNs: 2405-8963

Abstract

Abstract: 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.