State and output feedback local control schemes for nonlinear discrete-time 2-D Roesser systems under saturation, quantization and slope restricted input
Saddam Hussain Malik,
Muhammad Tufail,
Muhammad Rehan and
Shakeel Ahmed
Applied Mathematics and Computation, 2022, vol. 423, issue C
Abstract:
Control theory of one dimensional (1-D) systems is not directly applicable to two dimensional (2-D) systems due to involvement of complex dynamics in space and time. This paper deals with the control of nonlinear Roesser systems by employing feedback strategies with multiple constraints on the input signal. The input constraints are slope restriction, quantization, and generalized nonlinearities related to actuator overflow. Modeling deficiencies are also handled with the generalized actuator nonlinearities in a robust fashion. Novel results for state and output feedback topologies are furnished. Local stability criteria are developed for both feedback topologies by considering intrinsic nonlinearity as one-sided Lipschitz and generalized nonlinearity in a bounded sector. To the best of our knowledge, the outcomes of present paper are novel for nonlinear Roesser discrete-time systems while considering such nested restrictions on input signal. The results are verified by applying the proposed method on different 2-D practical systems.
Keywords: Actuator saturation; Local sector nonlinearity; One-sided Lipschitz function; Roesser model; State and output feedback (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations:
Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300322000510
Full text for ScienceDirect subscribers only
Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.
Export reference: BibTeX
RIS (EndNote, ProCite, RefMan)
HTML/Text
Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:423:y:2022:i:c:s0096300322000510
DOI: 10.1016/j.amc.2022.126965
Access Statistics for this article
Applied Mathematics and Computation is currently edited by Theodore Simos
More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().