A study on different configurations of fractional order fuzzy logic controller scheme for robotic manipulator using NSGA-II

In this paper, the performance and design analysis of two different configurations of fractional order fuzzy logic controller (FLC) schemes are investigated for two-link planar robotic manipulator plant. The plant under consideration is carrying a payload which is varying with time. The scaling gains of FLC and the other parameters of controller are obtained using an efficient multi-objective optimization technique named as non-dominating sorted genetic algorithm-II (NSGA-II). Two different performance/objective functions are chosen for minimization to witness trade-off between them and to obtain better closed loop response. Using the MATLAB/Simulink platform for simulation, the performance of the proposed controller techniques are compared with the fractional version of PID (FOPID) and traditional Proportional-Integral-Derivative (PID) controller. For the robustness testing, the results for the disturbance rejections are presented for all the control schemes.

[1]  Chieh-Li Chen,et al.  Analysis and design of fuzzy control system , 1993 .

[2]  Eric Michielssen,et al.  Genetic algorithm optimization applied to electromagnetics: a review , 1997 .

[3]  Alain Oustaloup,et al.  Frequency-band complex noninteger differentiator: characterization and synthesis , 2000 .

[4]  Kalyanmoy Deb,et al.  A fast and elitist multiobjective genetic algorithm: NSGA-II , 2002, IEEE Trans. Evol. Comput..

[5]  Feng-Yi Lin.  Robust Control Design: An Optimal Control Approach , 2007 .

[6]  Nasser Sadati,et al.  Design of a fractional order PID controller for an AVR using particle swarm optimization , 2009 .

[7]  Lixiang Li,et al.  Optimum design of fractional order PIλDμ controller for AVR system using chaotic ant swarm , 2012, Expert Syst. Appl..

[8]  Saptarshi Das,et al.  Chaotic multi-objective optimization based design of fractional order PIλDμ controller in AVR system , 2012, ArXiv.

[9]  Shantanu Das,et al.  A novel fractional order fuzzy PID controller and its optimal time domain tuning based on integral performance indices , 2012, Eng. Appl. Artif. Intell..

[10]  Leandro dos Santos Coelho,et al.  Tuning of PID controller based on a multiobjective genetic algorithm applied to a robotic manipulator , 2012, Expert Syst. Appl..

[11]  Shantanu Das,et al.  Performance Comparison of Optimal Fractional Order Hybrid Fuzzy PID Controllers for Handling Oscillatory Fractional Order Processes with Dead Time , 2013, ISA transactions.

[12]  Wang Sheng,et al.  Fruit fly optimization algorithm based fractional order fuzzy-PID controller for electronic throttle , 2013 .

[13]  Nazmul Siddique,et al.  Computational Intelligence: Synergies of Fuzzy Logic, Neural Networks and Evolutionary Computing , 2013 .

[14]  Vineet Kumar,et al.  Performance analysis of fractional order fuzzy PID controllers applied to a robotic manipulator , 2014, Expert Syst. Appl..

[15]  Prerna Gaur,et al.  Performance evaluation of cuckoo search algorithm based FOPID controllers applied to a robotic manipulator with actuator , 2015, 2015 International Conference on Advances in Computer Engineering and Applications.

[16]  Lu Liu,et al.  Variable-order fuzzy fractional PID controller. , 2015, ISA transactions.

[17]  Saptarshi Das,et al.  Fractional Order Fuzzy Control of Hybrid Power System with Renewable Generation Using Chaotic PSO , 2016, ISA transactions.

[18]  Celaleddin Yeroglu,et al.  Optimal fractional order PID design via Tabu Search based algorithm. , 2016, ISA transactions.

[19]  Rachid Mansouri,et al.  Closed-loop step response for tuning PID-fractional-order-filter controllers. , 2016, ISA transactions.

[20]  Sudhir Agashe,et al.  Review of fractional PID controller , 2016 .

[21]  Wenlong Fu,et al.  An adaptively fast fuzzy fractional order PID control for pumped storage hydro unit using improved gravitational search algorithm , 2016 .

[22]  Saeed Tavakoli,et al.  Adaptive fractional order fuzzy proportional–integral–derivative control of smart base-isolated structures equipped with magnetorheological dampers , 2017 .

[23]  Richa Sharma,et al.  Optimum Design of Fractional-Order Hybrid Fuzzy Logic Controller for a Robotic Manipulator , 2017 .

[24]  Vijay Kumar,et al.  A novel interval type-2 fractional order fuzzy PID controller: Design, performance evaluation, and its optimal time domain tuning. , 2017, ISA transactions.

[25]  Nan Zhang,et al.  Design of a fractional-order PID controller for a pumped storage unit using a gravitational search algorithm based on the Cauchy and Gaussian mutation , 2017, Inf. Sci..

[26]  Vijander Singh,et al.  Two degree of Freedom Fractional Order PID based Temperature control of Fermentation Process , 2018 .