Enhanced adaptive grey-prediction self-organizing fuzzy sliding-mode controller for robotic systems

A grey-prediction self-organizing fuzzy controller (GPSOFC) has been proposed to control robotic systems. It solves the problems caused by the inappropriate selection of parameters in a self-organizing fuzzy controller (SOFC) and eliminates the dynamic coupling effects between degrees of freedom (DOFs) in robotic systems. However, its stability is difficult to demonstrate. To overcome the stability issue, this study developed an enhanced adaptive grey-prediction self-organizing fuzzy sliding-mode controller (EAGSFSC) for robotic systems. The EAGSFSC not only solves the problem of a GPSOFC implementation by determining the stability of the system but also applies an adaptive law to modify the fuzzy consequent parameter of a fuzzy logic controller for manipulating a robotic system to improve its control performance. The stability of the EAGSFSC was proven using the Lyapunov stability theorem. To confirm the suitability of the proposed method, this study applied the EAGSFSC to manipulate a 6-DOF robot to determine its control performance. Experimental results showed that the EAGSFSC achieved better control performance than the GPSOFC as well as the SOFC for robotic motion control.

[1]  Nurkan Yagiz,et al.  MIMO fuzzy sliding mode controlled dual arm robot in load transportation , 2011, J. Frankl. Inst..

[2]  Chieh-Li Chen,et al.  Self-organizing fuzzy logic controller design , 1993 .

[3]  Shiuh-Jer Huang,et al.  A stable self-organizing fuzzy controller for robotic motion control , 2000, IEEE Trans. Ind. Electron..

[4]  Tzuu-Hseng S. Li,et al.  Fuzzy terminal sliding-mode controller for robotic manipulators , 2005, IEEE International Conference on Mechatronics, 2005. ICM '05..

[5]  Ruey-Jing Lian,et al.  Grey-prediction self-organizing fuzzy controller for robotic motion control , 2012, Inf. Sci..

[6]  Ying Peng,et al.  A hybrid approach of HMM and grey model for age-dependent health prediction of engineering assets , 2011, Expert Syst. Appl..

[7]  S. Shao Fuzzy self-organizing controller and its application for dynamic processes , 1988 .

[8]  Ming-Kun Chang,et al.  An adaptive self-organizing fuzzy sliding mode controller for a 2-DOF rehabilitation robot actuated by pneumatic muscle actuators , 2010 .

[9]  Dr. Hans Hellendoorn,et al.  An Introduction to Fuzzy Control , 1996, Springer Berlin Heidelberg.

[10]  Fevrier Valdez,et al.  Comparative study of bio-inspired algorithms applied to the optimization of type-1 and type-2 fuzzy controllers for an autonomous mobile robot , 2012, Inf. Sci..

[11]  Weiping Li,et al.  Applied Nonlinear Control , 1991 .

[12]  Daniel W. C. Ho,et al.  Sliding mode control of singular stochastic hybrid systems , 2010, Autom..

[13]  Ricardo Martínez-Soto,et al.  Optimization of Interval Type-2 Fuzzy Logic Controllers for a Perturbed Autonomous Wheeled Mobile Robot Using Genetic Algorithms , 2009, Soft Computing for Hybrid Intelligent Systems.

[14]  Benoîte de Saporta,et al.  Numerical method for impulse control of piecewise deterministic Markov processes , 2010, Autom..

[15]  B. Zhang,et al.  Self-organising fuzzy logic controller , 1992 .

[16]  Ruey-Jing Lian,et al.  Self-organizing fuzzy controller for injection molding machines , 2010 .

[17]  Ebrahim H. Mamdani,et al.  A linguistic self-organizing process controller , 1979, Autom..

[18]  Okyay Kaynak,et al.  Single-step ahead prediction based on the principle of concatenation using grey predictors , 2009, 2009 IEEE International Conference on Grey Systems and Intelligent Services (GSIS 2009).

[19]  K. Narendra,et al.  A new adaptive law for robust adaptation without persistent excitation , 1987 .

[20]  Shiuh-Jer Huang,et al.  A hybrid fuzzy logic and neural network algorithm for robot motion control , 1997, IEEE Trans. Ind. Electron..

[21]  Tsung-Chih Lin,et al.  ROBUST ADAPTIVE FUZZY SLIDING MODE CONTROL FOR A CLASS OF UNCERTAIN DISCRETE-TIME NONLINEAR SYSTEMS , 2012 .

[22]  Ruey-Jing Lian,et al.  Enhancing grey prediction fuzzy controller for active suspension systems , 2006 .

[23]  Kyoung Kwan Ahn,et al.  Wave prediction based on a modified grey model MGM(1,1) for real-time control of wave energy converters in irregular waves , 2012 .

[24]  Shiuh-Jer Huang,et al.  A fuzzy controller with grey prediction for robot motion control , 1998, Int. J. Syst. Sci..

[25]  Peter Xiaoping Liu,et al.  Robust Sliding Mode Control for Robot Manipulators , 2011, IEEE Transactions on Industrial Electronics.

[26]  Frank L. Lewis,et al.  Control of Robot Manipulators , 1993 .

[27]  Ruey-Jing Lian,et al.  Stability indices for a self-organizing fuzzy controlled robot: A case study , 2010, Eng. Appl. Artif. Intell..

[28]  Shiuh-Jer Huang,et al.  Adaptive fuzzy controller with sliding surface for vehicle suspension control , 2003, IEEE Trans. Fuzzy Syst..

[29]  Ligang Wu,et al.  Sliding mode control with bounded L2 gain performance of Markovian jump singular time-delay systems , 2012, Autom..

[30]  Chaio-Shiung Chen,et al.  Dynamic structure adaptive neural fuzzy control for MIMO uncertain nonlinear systems , 2009, Inf. Sci..

[31]  Antonella Ferrara,et al.  Trajectory Planning and Second-Order Sliding Mode Motion/Interaction Control for Robot Manipulators in Unknown Environments , 2012, IEEE Transactions on Industrial Electronics.

[32]  Ruey-Jing Lian,et al.  Intelligent Control of Active Suspension Systems , 2011, IEEE Transactions on Industrial Electronics.

[33]  Jian-Shiang Chen,et al.  A self-organizing fuzzy sliding-mode controller design for a class of nonlinear servo systems , 1994, IEEE Trans. Ind. Electron..

[34]  Koksal Erenturk,et al.  Gray-fuzzy control of a nonlinear two-mass system , 2010, J. Frankl. Inst..

[35]  Yongduan Song,et al.  A Novel Approach to Filter Design for T–S Fuzzy Discrete-Time Systems With Time-Varying Delay , 2012, IEEE Transactions on Fuzzy Systems.

[36]  J. Deng,et al.  Introduction to Grey system theory , 1989 .

[37]  Tzuu-Hseng S. Li,et al.  EP-based kinematic control and adaptive fuzzy sliding-mode dynamic control for wheeled mobile robots , 2009, Inf. Sci..

[38]  Jianbin Qiu,et al.  Model Approximation for Discrete-Time State-Delay Systems in the T–S Fuzzy Framework , 2011, IEEE Transactions on Fuzzy Systems.

[39]  Ruey-Jing Lian,et al.  New modifying self-organizing fuzzy controller for robotic motion control , 2006 .

[40]  C. S. G. Lee,et al.  Robotics: Control, Sensing, Vision, and Intelligence , 1987 .

[41]  Charles J. Fallaha,et al.  Sliding-Mode Robot Control With Exponential Reaching Law , 2011, IEEE Transactions on Industrial Electronics.