Design of output feedback proportional–integral controller for polynomial fuzzy systems

In this paper, the design of dynamic output feedback control law for polynomial fuzzy systems is studied. The main purpose is to design a tracker control law for fuzzy polynomial systems that are subject to external bounded disturbances. The structure of the control law is considered as fuzzy propor...

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Bibliographic Details
Published inAsian journal of control Vol. 25; no. 3; pp. 2153 - 2164
Main Authors Radmanesh, Hamid Reza, Moarefianpour, Ali, Jahed‐Motlagh, Mohammad Reza
Format Journal Article
LanguageEnglish
Published Hoboken Wiley Subscription Services, Inc 01.05.2023
Subjects
bounded disturbance
Control systems
Control theory
Feedback control
Fuzzy control
fuzzy PI controller
Fuzzy systems
H-infinity control
Output feedback
polynomial fuzzy systems
Polynomials
State vectors
sum of squares (SOS)
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ISSN1561-8625
1934-6093
DOI10.1002/asjc.2889

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Summary:In this paper, the design of dynamic output feedback control law for polynomial fuzzy systems is studied. The main purpose is to design a tracker control law for fuzzy polynomial systems that are subject to external bounded disturbances. The structure of the control law is considered as fuzzy proportional–integral control. The conditions for deriving the control law are formulated in the form of a sum of square (SOS) feasibility problem. The designed control law will be able to force the system state vector to follow the state vector of a stable reference model in addition to guaranteeing the H∞ performance measure. The simulation results show the efficiency of the proposed method exposed to external disturbance.
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ISSN:1561-8625
1934-6093
DOI:10.1002/asjc.2889