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Pessim, Paulo S. P., Silva, Felipe A., Peixoto, Marcia L.C., Palhares, Reinaldo M. and Lacerda, Marcio J. (2024) State-feedback control for discrete-time uncertain positive linear systems under denial of service attacks. In: CONTROL 2024: 14th United Kingdom Automatic Control Council International Conference on Control, 10-12 April 2024, Winchester, UK. (Unpublished)
This paper presents conditions in the form of Linear Matrix Inequalities to design state-feedback controllers for discrete-time uncertain positive linear systems in the presence of denial of service (DoS) attacks. The system under attack is modeled after a switched model that allows us to derive the synthesis conditions. Two strategies for control are considered, a hold strategy and a packet-based approach. Numerical experiments illustrate the efficacy of the proposed method of keeping the positiveness and stability of the closed-loop system under the presence of DoS attacks.
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