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Observer‐based control approach for fractional‐order delay systems of neutral type with saturating actuator
Author(s) -
Aghayan Zahra Sadat,
Alfi Alireza,
Tenreiro Machado Jose Antonio
Publication year - 2021
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.7282
Subject(s) - control theory (sociology) , observer (physics) , mathematics , convex optimization , nonlinear system , actuator , controller (irrigation) , type (biology) , linear matrix inequality , separation principle , regular polygon , mathematical optimization , control (management) , state observer , computer science , ecology , physics , geometry , quantum mechanics , artificial intelligence , agronomy , biology
In practice the states of a system are not directly available that are difficult to measure by sensors. This article proposes an observer‐based controller for fractional‐order neutral‐type delay systems with actuator saturation. A feedback algorithm is constructed by applying the Lyapunov direct method. Moreover, based on the observer, the gains of controller and observer are determined by solving a set of nonlinear matrix inequalities. Therefore, an iterative algorithm including the convex optimization is also proposed to solve the inequalities. An example is given to illustrate the theoretical results.