Design of interval type-2 fuzzy precompensated PID controller applied to two-DOF robotic manipulator with variable payload.

The interval type-2 fuzzy logic controller (IT2-FLC), with footprint of uncertainty (FOU) in membership functions (MF), has increasingly recognized for controlling uncertainties and nonlinearities. Within the ambit of this, the efficient interval type-2 fuzzy precompensated PID (IT2FP-PID) controller is designed for trajectory tracking of 2-DOF robotic manipulator with variable payload. A systematic strategy for optimizing the controller parameters along with scaling factors and the antecedent MF parameters for minimization of performance metric integral time absolute error (ITAE) is presented. Prominently, recently proposed optimization technique hybridizing grey wolf optimizer and artificial bee colony algorithm (GWO-ABC) is utilized for solving this high-dimensional constrained optimization problem. In order to witness effectiveness, the performance is compared with type-1 fuzzy precompensated PID (T1FP-PID), fuzzy PID (FPID), and conventional PID controllers. More significantly, the robustness of IT2FP-PID is examined for payload variation, model uncertainties, external disturbance, and noise cancellation. After experimental outcome, it is inferred that IT2FP-PID controller outperforms others and can be referred as a viable alternative for controlling nonlinear complex systems with higher uncertainties.

[1]  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.

[2]  Juan R. Castro,et al.  A comparative study of type-1 fuzzy logic systems, interval type-2 fuzzy logic systems and generalized type-2 fuzzy logic systems in control problems , 2016, Inf. Sci..

[3]  Vijay Kumar,et al.  Evolving an interval type-2 fuzzy PID controller for the redundant robotic manipulator , 2017, Expert Syst. Appl..

[4]  Dervis Karaboga,et al.  A powerful and efficient algorithm for numerical function optimization: artificial bee colony (ABC) algorithm , 2007, J. Glob. Optim..

[5]  J. Mendel.  Uncertain Rule-Based Fuzzy Logic Systems: Introduction and New Directions , 2001 .

[6]  N. N. Karnik,et al.  Introduction to type-2 fuzzy logic systems , 1998, 1998 IEEE International Conference on Fuzzy Systems Proceedings. IEEE World Congress on Computational Intelligence (Cat. No.98CH36228).

[7]  Aydogan Savran,et al.  A fuzzy model based adaptive PID controller design for nonlinear and uncertain processes. , 2014, ISA transactions.

[8]  Andrew Lewis,et al.  Grey Wolf Optimizer , 2014, Adv. Eng. Softw..

[9]  Anupam Kumar,et al.  A nonlinear fractional order PID controller applied to redundant robot manipulator , 2017, 2017 6th International Conference on Computer Applications In Electrical Engineering-Recent Advances (CERA).

[10]  Víctor Santibáñez,et al.  Fuzzy Self-Tuning PID Semiglobal Regulator for Robot Manipulators , 2012, IEEE Transactions on Industrial Electronics.

[11]  Richa Sharma,et al.  Performance analysis of two-degree of freedom fractional order PID controllers for robotic manipulator with payload. , 2015, ISA transactions.

[12]  Tarun Kumar Rawat,et al.  Design of optimal digital FIR filters using evolutionary and swarm optimization techniques , 2016 .

[13]  Jerry M. Mendel,et al.  Interval Type-2 Fuzzy Logic Systems Made Simple , 2006, IEEE Transactions on Fuzzy Systems.

[14]  J Viola,et al.  Fractional order PID for tracking control of a parallel robotic manipulator type delta. , 2018, ISA transactions.

[15]  Jerry M. Mendel,et al.  Type-2 fuzzy logic systems , 1999, IEEE Trans. Fuzzy Syst..

[16]  Jerry M. Mendel,et al.  Enhanced Karnik--Mendel Algorithms , 2009, IEEE Transactions on Fuzzy Systems.

[17]  Madhav J. Nigam,et al.  A hybrid grey wolf optimizer and artificial bee colony algorithm for enhancing the performance of complex systems , 2018, J. Comput. Sci..

[18]  Tufan Kumbasar,et al.  An Open Source Matlab/Simulink Toolbox for Interval Type-2 Fuzzy Logic Systems , 2015, 2015 IEEE Symposium Series on Computational Intelligence.

[19]  Chuen-Chien Lee.  FUZZY LOGIC CONTROL SYSTEMS: FUZZY LOGIC CONTROLLER - PART I , 1990 .

[20]  Meng Joo Er,et al.  Hybrid fuzzy proportional-integral plus conventional derivative control of linear and nonlinear systems , 2001, IEEE Trans. Ind. Electron..

[21]  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..

[22]  Edwin K. P. Chong,et al.  Fuzzy precompensated PID controllers , 1994, IEEE Trans. Control. Syst. Technol..

[23]  Oscar Castillo,et al.  Genetic Optimization of Interval Type-2 Fuzzy Systems for Hardware Implementation on FPGAs , 2012 .

[24]  Oscar Castillo,et al.  A review on interval type-2 fuzzy logic applications in intelligent control , 2014, Inf. Sci..

[25]  Pramod Kumar Singh,et al.  Empirical Study of Grey Wolf Optimizer , 2015, SocProS.

[26]  Saptarshi Das,et al.  Tuning of an optimal fuzzy PID controller with stochastic algorithms for networked control systems with random time delay. , 2011, ISA transactions.

[27]  M. J. Nigam,et al.  Bacterial Foraging Optimized Hybrid Fuzzy Precompensated PD Control of Two Link Rigid-Flexible Manipulator , 2009, Int. J. Comput. Intell. Syst..

[28]  Hani Hagras,et al.  A hierarchical type-2 fuzzy logic control architecture for autonomous mobile robots , 2004, IEEE Transactions on Fuzzy Systems.

[29]  Richa Sharma,et al.  Design of two-layered fractional order fuzzy logic controllers applied to robotic manipulator with variable payload , 2016, Appl. Soft Comput..

[30]  Lotfi A. Zadeh,et al.  The concept of a linguistic variable and its application to approximate reasoning-III , 1975, Inf. Sci..

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

[32]  Daijin Kim,et al.  An implementation of fuzzy logic controller on the reconfigurable FPGA system , 2000, IEEE Trans. Ind. Electron..

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

[34]  Anupam Kumar,et al.  Tuning of two-DOF-FOPID controller for magnetic levitation system: A multi-objective optimization approach , 2017, 2017 6th International Conference on Computer Applications In Electrical Engineering-Recent Advances (CERA).

[35]  Vijay Kumar,et al.  Hybridized ABC-GA optimized fractional order fuzzy pre-compensated FOPID control design for 2-DOF robot manipulator , 2017 .

[36]  Hani Hagras,et al.  Interval Type-2 Fuzzy PID Controllers , 2015, Handbook of Computational Intelligence.

[37]  Edwin K. P. Chong,et al.  Fuzzy Precompensation of PD Controllers For Systems with Deadzones , 1993, J. Intell. Fuzzy Syst..

[38]  Ahmad M. El-Nagar,et al.  Interval type-2 fuzzy PID controller for uncertain nonlinear inverted pendulum system. , 2014, ISA transactions.

[39]  John J. Craig,et al.  Introduction to Robotics Mechanics and Control , 1986 .

[40]  Yogendra Arya,et al.  BFOA-scaled fractional order fuzzy PID controller applied to AGC of multi-area multi-source electric power generating systems , 2017, Swarm Evol. Comput..

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

[42]  Javier Echanobe,et al.  Fuzzy systems, neural networks and neuro-fuzzy systems: A vision on their hardware implementation and platforms over two decades , 2014, Eng. Appl. Artif. Intell..

[43]  Hani Hagras,et al.  Big Bang-Big Crunch optimization based interval type-2 fuzzy PID cascade controller design strategy , 2014, Inf. Sci..

[44]  Hwa Jen Yap,et al.  Cuckoo search algorithm based design of interval Type-2 Fuzzy PID Controller for Furuta pendulum system , 2017, Eng. Appl. Artif. Intell..