The parametric optimization of a system with two delays and a PI controller

• Autorzy: Duda Jozef

Identyfikatory

DOI

10.24425/acs.2019.131231

• Języki publikacji: EN

Abstrakty

EN

In the paper a Lyapunov matrices approach to the parametric optimization problem of a time-delay system with two commensurate delays and a PI-controller is presented. The value of integral quadratic performance index is equal to the value of the Lyapunov functional for the initial function of the time-delay system. The Lyapunov functional is determined by means of the Lyapunov matrix. In the paper is presented the example of a scalar system with two delays and a PI controller.

Słowa kluczowe

EN

time-delay system; Lyapunov matrix; Lyapunov functional

• Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
• Czasopismo: Archives of Control Sciences
• Rocznik: 2019
• Tom: Vol. 29, No. 4
• Strony: 667--686
• Opis fizyczny: Bibliogr. 15 poz., rys., tab., wykr., wzory

Twórcy

autor

Duda Jozef

• AGH University of Science and Technology, Department of Automatic Control and Robotics, Krakow, Poland

Bibliografia

• [1] J. Duda: Lyapunov matrices approach to the parametric optimization of time-delay systems. Archives of Control Sciences, 25 (2015), 279–288.
• [2] J. Duda: A Lyapunov functional for a neutral system with a distributed time delay. Mathematics and Computers in Simulation, 119 (2016), 171–181.
• [3] J. Duda: Lyapunov matrices approach to the parametric optimization of a neutral system. Archives of Control Sciences, 26 (2016), 81–93.
• [4] J. Duda: Lyapunov matrices approach to the parametric optimization of a system with two delays. Archives of Control Sciences, 26 (2016), 281–295.
• [5] J. Duda: A Lyapunov functional for a system with both lumped and distributed delay. Archives of Control Sciences, 27 (2017), 527–540.
• [6] V. L. Kharitonov: Lyapunov functionals and Lyapunov matrices for neutral type time delay systems: a single delay case. International Journal of Control, 78 (2005), 783–800.
• [7] V. L. Kharitonov: Lyapunov matrices for a class of neutral type time delay systems. International Journal of Control, 81 (2008), 883–893.
• [8] V. L. Kharitonov: Lyapunov functional and matrices. Annual Reviews in Control, 34 (2010), 13–20.
• [9] V. L. Kharitonov: Lyapunov matrices: Existence and uniqueness issues. Automatica, 46 (2010), 1725–1729.
• [10] V. L. Kharitonov: On the uniqueness of Lyapunov matrices for a time-delay system. Systems & Control Letters, 61 (2012), 397–402.
• [11] V. L. Kharitonov: Time-delay systems. Basel, Birkhauser, 2013.
• [12] V. L. Kharitonov and E. Plischke: Lyapunov matrices for time-delay systems. Systems & Control Letters, 55 (2006), 697–706.
• [13] Yu. M. Repin: Quadratic Lyapunov functionals for systems with delay. Prikladnaya Matematika i Mekhanika, 29 (1965), 564–566.
• [14] S. Rodriguez, V. L. Kharitonov, J. Dion and L. Dugard: Robust stability of neutral systems: a Lyapunov-Krasovskii constructive approach. International Journal of Robust and Nonlinear Control, 14 (2004), 1345–1358.
• [15] J. E. Velazquez-Velazquez and V. L. Kharitonov: Lyapunov-Krasovskii functionals for scalar neutral type time delay equations. Systems & Control Letters, 58 (2009), 17–25.

Uwagi

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).