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Finite-Time Contractively Bounded Control of Positive Linear Systems under H∞ Performance and Its Application to Pest Management

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Titel: Finite-Time Contractively Bounded Control of Positive Linear Systems under H∞ Performance and Its Application to Pest Management
Autoren: Liang Zhu, Baolong Zhu, Zhiguo Yan, Guolin Hu
Quelle: Mathematics ; Volume 10 ; Issue 12 ; Pages: 1997
Verlagsinformationen: Multidisciplinary Digital Publishing Institute
Publikationsjahr: 2022
Bestand: MDPI Open Access Publishing
Schlagwörter: finite-time contractive boundedness, positive linear systems, H ∞ performance, cone complementary linearization
Beschreibung: This paper investigates the finite-time contractively bounded control issue for positive linear systems under H∞ performance. The notion of H∞ finite-time contractive boundedness is first extended to positive systems. Finite-time contractively bounded control is considered to ensure the H∞ finite-time contractive boundedness of the considered positive systems. A state feedback finite-time contractively bounded controller design method is proposed. The corresponding sufficient condition for the existence of the desired controller is derived by using the Lyapunov function method and the matrix inequality technique. Moreover, a computable scheme for solving the controller gain is established by employing the cone complementary linearization approach. Finally, a numerical example and an application example about pest management are used to validate the effectiveness of proposed conditions.
Publikationsart: text
Dateibeschreibung: application/pdf
Sprache: English
Relation: https://dx.doi.org/10.3390/math10121997
DOI: 10.3390/math10121997
Verfügbarkeit: https://doi.org/10.3390/math10121997
Rights: https://creativecommons.org/licenses/by/4.0/
Dokumentencode: edsbas.FEC1D39
Datenbank: BASE
Beschreibung
Abstract:This paper investigates the finite-time contractively bounded control issue for positive linear systems under H∞ performance. The notion of H∞ finite-time contractive boundedness is first extended to positive systems. Finite-time contractively bounded control is considered to ensure the H∞ finite-time contractive boundedness of the considered positive systems. A state feedback finite-time contractively bounded controller design method is proposed. The corresponding sufficient condition for the existence of the desired controller is derived by using the Lyapunov function method and the matrix inequality technique. Moreover, a computable scheme for solving the controller gain is established by employing the cone complementary linearization approach. Finally, a numerical example and an application example about pest management are used to validate the effectiveness of proposed conditions.
DOI:10.3390/math10121997