Work

Geometric stabilization of discrete‐time systems via dissipativity approach and output feedback control

Year: 2024

Type: article

Abstract: Geometric stabilizability is studied for nonlinear discrete‐time systems (DTS) utilizing linear static output feedback (SOF). Initially, a linear SOF controller is designed such that nonlinear DTS achieve geometric stabilizability. Utilizing the concept of geometric QSR‐dissipativity (GQSR‐D), a condition both sufficient and necessary is proffered to guarantee geometric stabilizability for nonlinear DTS. Subsequently, the necessary conditions of linear matrix inequality (LMI) are delineated to ascertain the stability of a system employing linear SOF. A new sufficient and necessary condition is provided aiming to stabilize the linear time‐invariant (LTI) DTS based on GQSR‐D. Lastly, examples are furnished to elucidate the efficacy of the results, thereby reinforcing their practical applicability.

Source: Asian Journal of Control

DOI: 10.1002/asjc.3502

Authors: Xinyuan Wen, Fan Yang, Yuanhong Ren, Xuejie Bai

Institution: Hebei Agricultural University

Language: English

Topic: Control and Stability of Dynamical Systems

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: bronze

Funders: National Natural Science Foundation of China, Natural Science Foundation of Hebei Province, Hebei Agricultural University