Selek, I., & Ikonen, E. (2019). Fundamental Limitations of the Decay of Generalized Energy in Controlled (Discrete–Time) Nonlinear Systems Subject to State and Input Constraints. International Journal of Applied Mathematics and Computer Science, 29(4), 629–639. https://doi.org/10.2478/amcs-2019-0046
Fundamental limitations of the decay of generalized energy in controlled (discrete–time) nonlinear systems subject to state and input constraints
|Author:||Selek, István1; Ikonen, Enso1|
1Systems Engineering Research Group University of Oulu, Pentti Kaiteran katu 1, 90570 Oulu, Finland
|Online Access:||PDF Full Text (PDF, 0.5 MB)|
|Persistent link:|| http://urn.fi/urn:nbn:fi-fe202002286865
|Publish Date:|| 2020-02-28
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.
International journal of applied mathematics and computer science
|Pages:||629 - 639|
|Type of Publication:||
A1 Journal article – refereed
|Field of Science:||
213 Electronic, automation and communications engineering, electronics
© 2019 I. Selek and E. Ikonen This is an open access article distributed under the Creative Commons Attribution-NonCommercial-NoDerivs license (http://creativecommons.org/licenses/by-nc-nd/3.0/).