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Synthesis of sparse dynamic structures via semidefinite programming

Babazadeh, M | 2016

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  1. Type of Document: Article
  2. DOI: 10.1109/TCST.2015.2468598
  3. Publisher: Institute of Electrical and Electronics Engineers Inc , 2016
  4. Abstract:
  5. This brief presents a systematic approach for the design of sparse dynamic output feedback control structures. A supplementary complexity cost function term is used to promote sparsity in the structure while optimizing an H2 performance cost simultaneously. Optimization problems in which a combinatorial sparsity measure is combined with a nonlinear performance cost function are NP-hard. NP-hard problems do not have tractable solutions, requiring either a numerical solution or a relaxation into a solvable form. Relaxations will introduce conservatism, but at the same time retain stability and performance guarantees. In this brief, a new relaxation methodology is proposed, which allows the problem to be formulated as a convex semidefinite program. This is made possible via use of a new state-space form that establishes a direct relationship between the state-space and the resulting transfer function matrix parameters. © 1993-2012 IEEE
  6. Keywords:
  7. Control structure selection ; Group sparsity ; H2 performance index ; l1 norm ; Sparse control structure ; Computational complexity ; Cost functions ; Costs ; Feedback control ; State space methods ; Dynamic output feedback control ; Numerical solution ; Optimization problems ; Performance guarantees ; Semi-definite programming ; Semidefinite programs ; Sparsity measures ; Transfer function matrix ; Optimization
  8. Source: IEEE Transactions on Control Systems Technology ; Volume 24, Issue 3 , 2016 , Pages 1028-1035 ; 10636536 (ISSN)
  9. URL: http://ieeexplore.ieee.org/document/7271037/?reload=true