LMI-based Luenberger observer design for uncertain nonlinear systems with external disturbances and time-delays

This paper investigates the simultaneous design of a controller and Luenberger state observer for systems with time-delays, external disturbances, uncertainties, modeling errors, and unknown nonlinear perturbations. The state-feedback control approach and state-observer existence conditions are form...

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Bibliographic Details
Published in:IEEE access 2023-01, Vol.11, p.1-1
Main Authors: Karami, Hamede, Nguyen, Ngoc Phi, Ghadiri, Hamid, Mobayen, Saleh, Bayat, Farhad, Skruch, Pawel, Mostafavi, Fatemeh
Format: Article
Language:English
Subjects:
Closed loops
Continuously stirred tank reactors
Control systems
Control systems design
controller design
Delays
Disturbances
external disturbance
Feedback control
flexible-link manipulator
Linear matrix inequalities
Linear matrix inequality
Mathematical analysis
Modelling
Nonlinear systems
Numerical stability
Observers
Perturbation
Perturbation methods
Stability analysis
State feedback
State observers
state-observer
time-delay
Uncertainty
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Summary:This paper investigates the simultaneous design of a controller and Luenberger state observer for systems with time-delays, external disturbances, uncertainties, modeling errors, and unknown nonlinear perturbations. The state-feedback control approach and state-observer existence conditions are formulated using the Linear Matrix Inequalities (LMIs). By defining the estimation error, the equations of the closed-loop system are rewritten. External disturbances, uncertainties, unknown nonlinear perturbations, and constant time-delays are considered in system modeling. By using LMI techniques, the estimation error is converged to zero. Therefore, the time-delays, uncertainties, and external disturbance effects on the system output, which have not been considered simultaneously before, are minimized, and the closed-loop system is stabilized. The performance of the proposed approach is verified by simulation of two examples, Flexible-Link Manipulator (FLM) dynamics, and Continuous Stirred Tank Reactor (CSTR) system. These examples illustrate the reliability of the suggested method.
ISSN:2169-3536
2169-3536
DOI:10.1109/ACCESS.2023.3293493