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Sparsity promotion in state feedback controller design
, Article IEEE Transactions on Automatic Control ; Volume 62, Issue 8 , 2017 , Pages 4066-4072 ; 00189286 (ISSN) ; Nobakhti, A ; Sharif University of Technology
Abstract
A globally convergent algorithm for synthesis of sparse optimal state feedback (SOSF) control of linear time-invariant (LTI) systems is proposed. This problem is known to be NP-hard due to its combinatorial nature. A structured H2 norm controller design problem is intrinsically non-convex, even if a fixed structure is known in advance. The proposed algorithm minimizes the H2 norm performance index, simultaneously regularizes the sparsity of the control structure using the norm. It guarantees that the solution converges to a stationary point of the original problem. The algorithm is implemented using Linear Matrix Inequalities (LMIs) which are efficient, reliable and extendable to other...