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Control of an Uncertain Robot Manipulator Using an Observation-based Modified Fuzzy Sliding Mode Controller

Shahnaz Tayebihaghighi, Farzin Piltan, Jong-Myon Kim
2018 International Journal of Intelligent Systems and Applications  
The sliding surface is divided into two main categories, linear and nonlinear. The nonlinear sliding surface algorithm is used to improve the performance of the sliding mode controller.  ...  Control of an Uncertain Robot Manipulator Using an Observation-based Modified Fuzzy Sliding Mode Controller  ...  The model referencing an adaptive sliding mode controller for an uncertain system dynamic fault tolerant was given by Xiao et al. [10] .  ... 
doi:10.5815/ijisa.2018.03.05 fatcat:hobymohoyzayhbbb5tfctdvca4

Solving Fuzzy Linear Fractional Programming Problem using LU Decomposition Method

S. Muruganandam, P. Ambika
2017 Annals of Pure and Applied Mathematics  
Jayanth Karthik and Chandrasekaran [3] solved fully fuzzy linear systems with trapezoidal fuzzy number matrices by partitioning the block matrices.  ...  Swarup [8] proposed a simplex algorithm to solve linear fractional programming problem. Tantawy [9] presented an iterative method based on the conjugate gradient  ...  projection method for solving LFPP. LU Decomposition is just a compact and relatively numerically stable method to solve a system of linear equations.  ... 
doi:10.22457/apam.v13n1a9 fatcat:buheos5ljjb6jg6zjpgnxrlv44

Numerical solution of a fuzzy linear system by using PSO method

R. Firouzdor, M. Amirfakhrian, R. Salehi, Sh. S. Asari
2016 Journal of Fuzzy Set Valued Analysis  
In this paper a numerical algorithm for solving a fuzzy linear system of equations (FLS) is considered.  ...  This system would be changed into an optimazition problem which is based on Particle Swarm obtimization (PSO) algorithm. The efficiency of algorithm is illustrated by some numerical examples.  ...  PSO algorithm for solving fuzzy linear systems In this section we used PSO algorithms for solving a fuzzy linear system by crisp coefficients.  ... 
doi:10.5899/2016/jfsva-00272 fatcat:uflzni62yndu3kadv63iuxpnki

Adaptive Finite-Time Convergence Fuzzy ARXLaguerre System Estimation

Farzin Piltan, Shahnaz TayebiHaghighi, Amirzubir Sahamijoo, Hossein Rashidi Bod, Somayeh Jowkar, Jong-Myon Kim
2019 International Journal of Intelligent Systems and Applications  
In this paper, adaptive fuzzy inverse dynamic system estimation is used to improve robust modeling, especially for a serial links robot manipulator.  ...  Convergence speed for system identification and estimation is a popular topic for determining the kinematics and dynamic identification/estimation of the parameters of robot manipulators.  ...  Intelligent Systems and Applications, Block diagram of the adaptive fuzzy ARX- Fig. 4 . 4 Linear system estimation for the robot manipulatorThe rate of error for linear system estimation is illustrated  ... 
doi:10.5815/ijisa.2019.05.04 fatcat:nlwzcsseqbholna5os3d7nhrwy

Mathematical Tools of Soft Computing

Ker-Wei Yu, Yang Xu, Jer-Guang Hsieh
2014 Mathematical Problems in Engineering  
Together with the filter method, an improved filter algorithm with decomposition strategy is proposed for solving nonlinear complementarity problem.  ...  The fuzzy approximate solution of the fuzzy linear differential equation is then obtained by solving the crisp linear equations. Some numerical examples are given to illustrate the proposed method.  ...  Acknowledgments We wish to express our sincere appreciation to the authors for their excellent contributions. The hard work of all reviewers is greatly acknowledged.  ... 
doi:10.1155/2014/904014 fatcat:gs4ugjintbf5xopjwjq34tx5sq

Minimal Solution of Singular LR Fuzzy Linear Systems

M. Nikuie, M. Z. Ahmad
2014 The Scientific World Journal  
Such systems are divided into two parts: singular consistent LR fuzzy linear systems and singular inconsistent LR fuzzy linear systems.  ...  In this paper, the singular LR fuzzy linear system is introduced.  ...  Singular LR Fuzzy Linear Systems In this section, singular LR fuzzy linear systems are introduced and the existing methods for solving LR fuzzy linear systems are investigated.  ... 
doi:10.1155/2014/517218 pmid:24737977 pmcid:PMC3967711 fatcat:5fqs6abgp5cz3nh2t4otizg77i

Page 7444 of Mathematical Reviews Vol. , Issue 90M [page]

1990 Mathematical Reviews  
Systems Sci. 20 (1989), no. 8, 1577. The paper presents a resolution method for a fuzzy linear pro- gramming problem with fuzzy numbers in the right-hand side of the constraints.  ...  This paper presents an algorithm for solving surrogate duals in zero-one linear programming. The proofs of the algorithm are also given.  ... 

Interior Point Method for Solving Fuzzy Number Linear Programming Problems Using Linear Ranking Function

Yi-hua Zhong, Yan-lin Jia, Dandan Chen, Yan Yang
2013 Journal of Applied Mathematics  
Finally, the method proposed in this paper is an alternative method for solving fuzzy number linear programming problems.  ...  Recently, various methods have been developed for solving linear programming problems with fuzzy number, such as simplex method and dual simplex method.  ...  Acknowledgments The authors thank the anonymous referees for their suggestions and comments to improve an earlier version of this paper.  ... 
doi:10.1155/2013/795098 fatcat:7ekr2sqiuzak5isvnlkg4mvfi4

Page 602 of The Journal of the Operational Research Society Vol. 56, Issue 5 [page]

2005 The Journal of the Operational Research Society  
Fuzzy Multi Objective Decision Making: Methods and Applications. Spinger-Verlag: Berlin. Guu SM and Wu YK (1999). Two phase approach for solving the fuzzy linear programming problems.  ...  Solving multiobjective linear programming problems—a generic approach. Fuzzy Sets and Systems 82: 35-38. Wang HF and Wang ML (1997). A fuzzy multi objective linear programming.  ... 

Solving fuzzy inequalities with piecewise linear membership functions

Cheng-Feng Hu, Shu-Cherng Fang
1999 IEEE transactions on fuzzy systems  
An augmented Lagrangean algorithm is then applied to solve the resulting problem. Some computational results are included.  ...  This paper deals with systems of fuzzy inequalities.  ...  ACKNOWLEDGMENT The authors would like to thank the referees for their very constructive comments in revising this paper.  ... 
doi:10.1109/91.755403 fatcat:uz7kvwr2dnerbmp5ducfmp4oqq

Soft Computing Techniques for Process Control Applications

Rahul Malhotra, Narinder Singh, Yaduvir Singh
2011 International Journal of Soft Computing  
Process control is an important application of any industry for controlling the complex system parameters, which can greatly benefit from such advancements.  ...  Conventional control theory is based on mathematical models that describe the dynamic behaviour of process control systems.  ...  Fuzzy logic helps an engineer for solving non-linear control problems in process control applications.  ... 
doi:10.5121/ijsc.2011.2303 fatcat:7bofesi5mvgdbmfuihic66msmi

Linear Equations And Systems In Fuzzy Environment

Sanhita Banerjee, Tapan Kumar Roy
2015 Journal of Mathematics and Computer Science  
The paper discusses fuzzy real and complex linear equations and system of linear equations with coefficients as crisp and the right-hand side as generalized trapezoidal fuzzy number where fuzzy numbers  ...  We have solved each case by using the concept of Strong and Weak solution with numerical examples.  ...  A general model for solving a Fuzzy linear system whose coefficient matrix is crisp and the right-hand side column is an arbitrary fuzzy number was first proposed by Friedman et al. [12] .  ... 
doi:10.22436/jmcs.015.01.02 fatcat:2cbnbzwju5eltgfk4fzq2zddna

New Developments in Mathematical Control and Information for Fuzzy Systems

Hamid Reza Karimi, Mohammed Chadli, Peng Shi
2013 Mathematical Problems in Engineering  
To solve this problem and to improve control precision, B.  ...  Then, they, respectively, use two partition methods to divide the input universes and utilize fuzzy marginal linearization method to obtain the corresponding fuzzy system.  ...  We are also very grateful to the reviewers for their efforts in reviewing the papers on time. Hamid Reza Karimi Mohammed Chadli Peng Shi  ... 
doi:10.1155/2013/126878 fatcat:jqd2cnhbrvexnb3uceubjego54

A dual approach to solve the fuzzy linear programming problem

Jose L Verdegay
1984 Fuzzy sets and systems (Print)  
Then a new approach is proposed for solving this FFLP problem. An example is also presented to demonstrate the new method. Chronicle:  ...  Linear programming technique may be used for solving broad range of problems arising in business, government, industry, hospitals, libraries, etc.  ...  Acknowledgment The authors would like to appreciate from the anonymous referees who offered their valuable comments to improve the earlier version of this study.  ... 
doi:10.1016/0165-0114(84)90096-4 fatcat:ruabgkj3prch3a7n7bgfygimvu

Granular Differentiability of Fuzzy-Number-Valued Functions

Mehran Mazandarani, Naser Pariz, Ali Vahidian Kamyad
2018 IEEE transactions on fuzzy systems  
In this paper optimal control problem of fuzzy linear time invariant systems is considered.  ...  The quality of obtaining system optimal input by solving the FPDEs system has been studied based on new definition of fuzzy functions differentiability.  ...  Wan developed an optimal fuzzy controller to stabilize a Linear Time Invariant [LTI] system via Pontryagin Minimum Principle [1] , in [2] application of optimal fuzzy control will reduce the energy  ... 
doi:10.1109/tfuzz.2017.2659731 fatcat:3y3xjorrzngmjndz5akrytzxqe
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