LMI-Based Luenberger Observer Design for Uncertain Nonlinear Systems With External Disturbances and Time-Delays

被引：3

作者：

Karami, Hamede ^{[1
]}

Nguyen, Ngoc Phi ^{[2
]}

Ghadiri, Hamid ^{[3
]}

Mobayen, Saleh ^{[4
]}

Bayat, Farhad ^{[1
]}

Skruch, Pawel ^{[5
]}

Mostafavi, Fatemeh ^{[1
]}

机构：

[1] Univ Zanjan, Fac Engn, Dept Elect Engn, Zanjan 4537138791, Iran

[2] Sejong Univ, Dept Aerosp Engn, Seoul 05006, South Korea

[3] Islamic Azad Univ, Dept Elect Engn, Qazvin Branch, Qazvin 3419915195, Iran

[4] Natl Yunlin Univ Sci & Technol, Grad Sch Intelligent Data Sci, Touliu 640301, Yunlin, Taiwan

[5] AGH Univ Sci & Technol, Dept Automat Control & Robot, PL-30059 Krakow, Poland

来源：

IEEE ACCESS | 2023年 / 11卷

关键词：

Linear matrix inequality; controller design; state-observer; external disturbance; time-delay; flexible-link manipulator; SWITCHED NEUTRAL SYSTEMS; MODEL-PREDICTIVE CONTROL; GUARANTEED COST CONTROL; STABILIZATION; MANIPULATOR;

D O I：

10.1109/ACCESS.2023.3293493

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

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.

引用

页码：71823 / 71839

页数：17

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