A review on fuzzy differential equations

M Mazandarani, L Xiu - IEEE access, 2021 - ieeexplore.ieee.org
Since the term “Fuzzy differential equations”(FDEs) emerged in the literature in 1978,
prevailing research effort has been dedicated not only to the development of the concepts …

Granular differentiability of fuzzy-number-valued functions

M Mazandarani, N Pariz… - IEEE Transactions on …, 2017 - ieeexplore.ieee.org
In this paper, using the concept of horizontal membership functions, a new definition of fuzzy
derivative called granular derivative is proposed based on granular difference. Moreover, a …

Optimal fractional order PID controller design for automatic voltage regulator system based on reference model using particle swarm optimization

X Li, Y Wang, N Li, M Han, Y Tang, F Liu - International Journal of Machine …, 2017 - Springer
Automatic voltage regulator (AVR) system is an important equipment in power system for
maintaining the terminal voltage of the generator at a specific level. Recently, fractional …

Sub-optimal control of fuzzy linear dynamical systems under granular differentiability concept

M Mazandarani, N Pariz - ISA transactions, 2018 - Elsevier
This paper deals with sub-optimal control of a fuzzy linear dynamical system. The aim is to
keep the state variables of the fuzzy linear dynamical system close to zero in an optimal …

Fuzzy fractional quadratic regulator problem under granular fuzzy fractional derivatives

M Najariyan, Y Zhao - IEEE Transactions on Fuzzy Systems, 2017 - ieeexplore.ieee.org
In this paper, a class of uncertain linear dynamical systems called fuzzy fractional linear
dynamical systems is investigated. The aim is to find control inputs to keep the states of the …

Z-differential equations

M Mazandarani, Y Zhao - IEEE Transactions on Fuzzy Systems, 2019 - ieeexplore.ieee.org
This paper is devoted to make a framework for studying a class of uncertain differential
equations called Z-differential equations. In order to achieve the purpose, we first introduce …

Fuzzy bang-bang control problem under granular differentiability

M Mazandarani, Y Zhao - Journal of the Franklin Institute, 2018 - Elsevier
In this paper, a class of fuzzy optimal control problem called fuzzy Bang-Bang (FBB) control
problem is revisited. The FBB control problem aims at finding control inputs which transfer …

Granular fuzzy PID controller

M Najariyan, Y Zhao - Expert Systems with Applications, 2021 - Elsevier
In this paper an uncertain dynamical system is investigated in which the coefficients are as a
class of fuzzy sets and the fuzzy derivative is considered as the granular derivative …

Fuzzy tracking control of fuzzy linear dynamical systems

SMM Abbasi, A Jalali - ISA transactions, 2020 - Elsevier
This paper deals with the fuzzy tracking control problem of a class of uncertain linear
dynamical systems. In the uncertain linear dynamical system the uncertainty is considered …

Fuzzy linear singular differential equations under granular differentiability concept

M Najariyan, N Pariz, H Vu - Fuzzy Sets and Systems, 2022 - Elsevier
In this paper, fuzzy linear singular differential equations under so-called granular
differentiability are investigated in which the coefficients and initial conditions are as fuzzy …