Creator:

Selek, István ; Ikonen, Enso

Contributor:

Clempner, Julio B. - ed. ; Ikonen, Enso - ed. ; Kurdyukov, Alexander P. - ed.

Title:

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

Subtitle:

.

Group publication title:

AMCS, volume 29 (2019)

Subject and Keywords:

decay rate maximization ; Lyapunov function ; nonlinear control systems

Abstract:

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.

Publisher:

Zielona Góra: Uniwersytet Zielonogórski

Date:

2019

Resource Type:

artykuł

DOI:

10.2478/amcs-2019-0046

Pages:

629-639

Source:

AMCS, volume 29, number 4 (2019) ; click here to follow the link

Language:

eng

License CC BY 4.0:

click here to follow the link

Rights:

Biblioteka Uniwersytetu Zielonogórskiego