Fundamental limitations of the decay of generalized energy in controlled (discrete-time) nonlinear systems subject to state and input constraints

• Autorzy: Selek István , Ikonen Enso

Identyfikatory

DOI

10.2478/amcs-2019-0046

• Języki publikacji: EN

Abstrakty

EN

This paper is devoted to the analysis of fundamental limitations regarding closed-loop control performance of discrete-time nonlinear systems subject to hard constraints (which are nonlinear in state and manipulated input variables). The control performance for the problem of interest is quantified by the decline (decay) of the generalized energy of the controlled system. The paper develops (upper and lower) barriers bounding the decay of the system’s generalized energy, which can be achieved over a set of asymptotically stabilizing feedback laws. The corresponding problem is treated without the loss of generality, resulting in a theoretical framework that provides a solid basis for practical implementations. To enhance understanding, the main results are illustrated in a simple example.

Słowa kluczowe

EN

decay rate maximization; Lyapunov function; nonlinear control system

PL

rozkład wykładniczy; funkcja Lapunowa; układ sterowania nieliniowy

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2019
• Tom: Vol. 29, no. 4
• Strony: 629--639
• Opis fizyczny: Bibliogr. 18 poz., rys.

Twórcy

autor

Selek István

• Systems Engineering Research Group, University of Oulu, Pentti Kaiteran katu 1, 90570 Oulu, Finland

autor

Ikonen Enso

• Systems Engineering Research Group, University of Oulu, Pentti Kaiteran katu 1, 90570 Oulu, Finland

Bibliografia

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• [18] Selek, I. and Ikonen, E. (2018). On the bounds of the fastest admissible decay of generalized energy in controlled LTI systems subject to state and input constraints, 15th International Conference on Electrical Engineering, Computing Science and Automatic Control (CCE2018), Mexico City, Mexico, p. ID: 19.

Uwagi

PL

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