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Reduction of matched and unmatched uncertainties for a class of nonlinear perturbed systems via robust control
Author(s) -
Ordaz Patricio,
Ordaz Mario,
Cuvas Carlos,
Santos Omar
Publication year - 2019
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.4506
Subject(s) - control theory (sociology) , nonlinear system , ellipsoid , bounded function , sliding mode control , perturbation (astronomy) , robust control , trajectory , controller (irrigation) , mathematics , linear matrix inequality , computer science , control (management) , mathematical optimization , mathematical analysis , physics , quantum mechanics , artificial intelligence , astronomy , agronomy , biology
Summary The aim of this paper is to design a robust control for stabilization of a class of nonlinear perturbed system subject to matched and unmatched disturbances. Here, the concept of dynamic sliding mode control and the attractive ellipsoid method advantages are used to design a robust nonlinear control algorithm, which reduces considerably the perturbation effects. Hence, in finite time, the dynamic sliding mode control brings the system trajectory to a specific configuration. After this time, the controller reduces the perturbation effects by using the high‐gain control obtained in the attractive ellipsoid method. Thus, based on the solution of a specific matrix inequality, the feedback control of the system guarantees that the trajectory will be stabilized in the ultimate uniform bounded sense. To illustrate the theoretical results, a numerical example with a comparative study is introduced. Finally, the performance of the controller designed in this paper is tested on an electromechanical real‐time system.