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- W2972329834 abstract "In this paper, quasi-norms are utilized to sparsify a pre-given well-performing state-feedback controller stabilizing a linear time-invariant (LTI) system. To do so, an unconstrained optimization problem is firstly formulated which incorporates two terms: (i) the Frobenius norm of difference of the pre-given feedback controller and the one to be designed; (ii) the 0 < q < 1 quasi-norm of the feedback controller to be designed. The former term heuristically features the disturbance attenuation performance and the latter term promotes the sparsity. Next, obtaining an analytic threshold for the sparsity-promoting parameter, the analytic solution of the formulated unconstrained optimization problem is expressed which is basically the designed sparse feedback controller. Throughout the numerical simulations, it is observed that when 0 < q < 1 decreases, the sparsity-performance balance is significantly improved. Furthermore, the proposed method is interestingly capable of being applied to the large-scale systems with thousands of states." @default.
- W2972329834 created "2019-09-19" @default.
- W2972329834 creator A5043710051 @default.
- W2972329834 date "2019-07-01" @default.
- W2972329834 modified "2023-10-11" @default.
- W2972329834 title "State-Feedback Controller Sparsification via Quasi-Norms" @default.
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- W2972329834 doi "https://doi.org/10.23919/acc.2019.8814436" @default.
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