Impulsive observer–based stabilization for a class of Lipschitz nonlinear systems with time–varying uncertainties

In this paper, an impulsive observer–based controller is designed for a class of Lipschitz nonlinear systems with time–varying uncertainties. The impulsive observer uses only sampled measurements of the system output. Sufficient conditions for the existence of the controller are given in terms of Li...

Full description

Saved in:
Bibliographic Details
Published inJournal of the Franklin Institute Vol. 357; no. 17; pp. 12518 - 12537
Main Authors Jaramillo, O., Castillo–Toledo, B., Di Gennaro, S.
Format Journal Article
LanguageEnglish
Published Elmsford Elsevier Ltd 01.11.2020
Elsevier Science Ltd
Subjects
Computer simulation
Control systems design
Controllers
Estimating techniques
Feedback control systems
Linear matrix inequalities
Mathematical analysis
Nonlinear systems
State estimation
Systems stability
Uncertainty
Online AccessGet full text

Cover

More Information
Summary:In this paper, an impulsive observer–based controller is designed for a class of Lipschitz nonlinear systems with time–varying uncertainties. The impulsive observer uses only sampled measurements of the system output. Sufficient conditions for the existence of the controller are given in terms of Linear Matrix Inequalities, obtaining exponential stability to the origin of the system state and the state estimation error. The performance of the proposed impulsive observer–based controller is tested via simulations.
ISSN:0016-0032
1879-2693
0016-0032
DOI:10.1016/j.jfranklin.2020.09.046