Artificial Chattering Free on-line Modified Sliding Mode Algorithm: Applied in Continuum Robot Manipulator

Full Text (PDF, 370KB), PP.57-69

Views: 0 Downloads: 0

Author(s)

MohammadMahdi Ebrahimi 1 Farzin Piltan 1,* Mansour Bazregar 1 AliReza Nabaee 1

1. Research and Development Department, Artificial Control and Robotics Lab., Institute of Advance Science and Technology-SSP, Shiraz/Iran

* Corresponding author.

DOI: https://doi.org/10.5815/ijieeb.2013.05.08

Received: 2 Jul. 2013 / Revised: 14 Aug. 2013 / Accepted: 15 Sep. 2013 / Published: 8 Nov. 2013

Index Terms

Chattering phenomenon, chattering free adaptive sliding mode fuzzy control, nonlinear controller, fuzzy logic controller, sliding mode controller, continuum robot manipulator

Abstract

In this research, an artificial chattering free adaptive fuzzy modified sliding mode control design and application to continuum robotic manipulator has proposed in order to design high performance nonlinear controller in the presence of uncertainties. Regarding to the positive points in sliding mode controller, fuzzy logic controller and online tuning method, the output improves. Each method by adding to the previous controller has covered negative points. The main target in this research is design of model free estimator on-line sliding mode fuzzy algorithm for continuum robot manipulator to reach an acceptable performance. Continuum robot manipulators are highly nonlinear, and a number of parameters are uncertain, therefore design model free controller by both analytical and empirical paradigms are the main goal. Although classical sliding mode methodology has acceptable performance with known dynamic parameters such as stability and robustness but there are two important disadvantages as below: chattering phenomenon and mathematical nonlinear dynamic equivalent controller part. To solve the chattering fuzzy logic inference applied instead of dead zone function. To solve the equivalent problems in classical sliding mode controller this paper focuses on applied on-line tuning method in classical controller. This algorithm works very well in certain and uncertain environment. The system performance in sliding mode controller is sensitive to the sliding function. Therefore, compute the optimum value of sliding function for a system is the next challenge. This problem has solved by adjusting sliding function of the on-line method continuously in real-time. In this way, the overall system performance has improved with respect to the classical sliding mode controller. This controller solved chattering phenomenon as well as mathematical nonlinear equivalent part by applied modified PID supervisory method in modified fuzzy sliding mode controller and tuning the sliding function.

Cite This Paper

Mohammad Mahdi Ebrahimi, Farzin Piltan, Mansour Bazregar, AliReza Nabaee, "Artificial Chattering Free on-line Modified Sliding Mode Algorithm: Applied in Continuum Robot Manipulator", International Journal of Information Engineering and Electronic Business(IJIEEB), vol.5, no.5, pp.57-69, 2013. DOI:10.5815/ijieeb.2013.05.08

Reference

[1]G. Robinson, and J. Davies, “Continuum robots – a state of the art,”Proc. IEEE International Conference on Robotics and Automation, Detroit, MI, 1999, vol. 4, pp. 2849-2854.

[2]I.D. Walker, D. Dawson, T. Flash, F. Grasso, R. Hanlon, B. Hochner, W.M. Kier, C. Pagano,C.D. Rahn, Q. Zhang, “Continuum Robot Arms Inspired by Cephalopods, Proceedings SPIE Conference on Unmanned Ground Vehicle Technology VII, Orlando, FL, pp 303-314, 2005.

[3]K. Suzumori, S. Iikura, and H. Tanaka, “Development of Flexible Microactuator and it’s Applications to Robotic Mechanisms”, Proceedings IEEE International Conference on Robotics and Automation, Sacramento, California, pp. 1622-1627, 1991.

[4]D. Trivedi, C.D. Rahn, W.M. Kier, and I.D. Walker, “Soft Robotics: Biological Inspiration, State of the Art, and Future Research”, Applied Bionics and Biomechanics, 5(2), pp. 99-117, 2008.

[5]W. McMahan, M. Pritts, V. Chitrakaran, D. Dienno, M. Grissom, B. Jones, M. Csencsits, C.D. Rahn, D. Dawson, and I.D. Walker, “Field Trials and Testing of “OCTARM” Continuum Robots”, Proc. IEEE International Conference on Robotics and Automation, pp. 2336-2341, 2006.

[6]W. McMahan, I.D. Walker, “Octopus-Inspired Grasp Synergies for Continuum Manipulators”, Proc. IEEE International Conference on Robotics and Biomimetics, pp. 945- 950, 2009.

[7]I. Boiko, L. Fridman, A. Pisano and E. Usai, "Analysis of chattering in systems with second-order sliding modes," IEEE Transactions on Automatic Control, No. 11, vol. 52,pp. 2085-2102, 2007.

[8]J. Wang, A. Rad and P. Chan, "Indirect adaptive fuzzy sliding mode control: Part I: fuzzy switching," Fuzzy Sets and Systems, No. 1, vol. 122,pp. 21-30, 2001.

[9]M. Bazregar, Farzin Piltan, A. Nabaee and M.M. Ebrahimi, “Parallel Soft Computing Control Optimization Algorithm for Uncertainty Dynamic Systems”, International Journal of Advanced Science and Technology, 51, 2013.

[10]Farzin Piltan, M.H. Yarmahmoudi, M. Mirzaei, S. Emamzadeh, Z. Hivand, “Design Novel Fuzzy Robust Feedback Linearization Control with Application to Robot Manipulator”, International Journal of Intelligent Systems and Applications, 5(5), 2013.

[11]Sh. Tayebi Haghighi, S. Soltani, Farzin Piltan, M. kamgari, S. Zare, “Evaluation Performance of IC Engine: Linear Tunable Gain Computed Torque Controller Vs. Sliding Mode Controller”, International Journal of Intelligent Systems and Applications, 5(6), 2013.

[12]Farzin Piltan, A. R. Salehi & Nasri B Sulaiman,“Design Artificial Robust Control of Second Order System Based on Adaptive Fuzzy Gain Scheduling”, World Applied Science Journal (WASJ), 13 (5): 1085-1092, 2011.

[13]Farzin Piltan, N. Sulaiman, Atefeh Gavahian, Samira Soltani & Samaneh Roosta, “Design Mathematical Tunable Gain PID-Like Sliding Mode Fuzzy Controller with Minimum Rule Base”, International Journal of Robotic and Automation, 2 (3): 146-156, 2011.

[14]Farzin Piltan , N. Sulaiman, Zahra Tajpaykar, Payman Ferdosali & Mehdi Rashidi, “Design Artificial Nonlinear Robust Controller Based on CTLC and FSMC with Tunable Gain”, International Journal of Robotic and Automation, 2 (3): 205-220, 2011.

[15]Farzin Piltan, Mohammad Mansoorzadeh, Saeed Zare, Fatemeh Shahriarzadeh, Mehdi Akbari, “Artificial tune of fuel ratio: Design a novel siso fuzzy backstepping adaptive variable structure control”, International Journal of Electrical and Computer Engineering (IJECE), 3 (2): 183-204, 2013.

[16]Farzin Piltan, M. Bazregar, M. Kamgari, M. Akbari, M. Piran, “Adjust the fuel ratio by high impact chattering free sliding methodology with application to automotive engine”, International Journal of Hybrid Information Technology (IJHIT), 6 (1): 13-24, 2013.

[17]Shahnaz Tayebi Haghighi, S. Soltani, Farzin Piltan, M. Kamgari, S. Zare, “Evaluation Performance of IC Engine: linear tunable gain computed torque controller Vs. Sliding mode controller”, I. J. Intelligent system and application, 6 (6): 78-88, 2013. 

[18]Farzin Piltan, N. Sulaiman, Payman Ferdosali & Iraj Assadi Talooki, “Design Model Free Fuzzy Sliding Mode Control: Applied to Internal Combustion Engine”, International Journal of Engineering, 5 (4):302-312, 2011.

[19]Farzin Piltan, N. Sulaiman, A. Jalali & F. Danesh Narouei, “Design of Model Free Adaptive Fuzzy Computed Torque Controller: Applied to Nonlinear Second Order System”, International Journal of Robotics and Automation, 2 (4):245-257, 2011

[20]A. Jalali, Farzin Piltan, M. Keshtgar, M. Jalali, “Colonial Competitive Optimization Sliding Mode Controller with Application to Robot Manipulator”, International Journal of Intelligent Systems and Applications, 5(7), 2013.

[21]Farzin Piltan, Amin Jalali, N. Sulaiman, Atefeh Gavahian & Sobhan Siamak, “Novel Artificial Control of Nonlinear Uncertain System: Design a Novel Modified PSO SISO Lyapunov Based Fuzzy Sliding Mode Algorithm”, International Journal of Robotics and Automation, 2 (5): 298-316, 2011.

[22]Farzin Piltan, N. Sulaiman, Iraj Asadi Talooki & Payman Ferdosali, “Control of IC Engine: Design a Novel MIMO Fuzzy Backstepping Adaptive Based Fuzzy Estimator Variable Structure Control”, International Journal of Robotics and Automation, 2 (5):360-380, 2011.

[23]Farzin Piltan, N. Sulaiman, S.Soltani, M. H. Marhaban & R. Ramli, “An Adaptive Sliding Surface Slope Adjustment in PD Sliding Mode Fuzzy Control For Robot Manipulator”, International Journal of Control and Automation, 4 (3): 65-76, 2011. 

[24]Farzin Piltan, N. Sulaiman, Mehdi Rashidi, Zahra Tajpaikar & Payman Ferdosali, “Design and Implementation of Sliding Mode Algorithm: Applied to Robot Manipulator-A Review”, International Journal of Robotics and Automation, 2 (5):265-282, 2011.

[25]Farzin Piltan, N. Sulaiman , Arash Zargari, Mohammad Keshavarz & Ali Badri, “Design PID-Like Fuzzy Controller with Minimum Rule Base and Mathematical Proposed On-line Tunable Gain: Applied to Robot Manipulator”, International Journal of Artificial Intelligence and Expert System, 2 (4):184-195, 2011.

[26]Farzin Piltan, SH. Tayebi HAGHIGHI, N. Sulaiman, Iman Nazari & Sobhan Siamak, “Artificial Control of PUMA Robot Manipulator: A-Review of Fuzzy Inference Engine and Application to Classical Controller”, International Journal of Robotics and Automation, 2 (5):401-425, 2011.

[27]A. Salehi, Farzin Piltan, M. Mousavi, A. Khajeh, M. R. Rashidian, “Intelligent Robust Feed-forward Fuzzy Feedback Linearization Estimation of PID Control with Application to Continuum Robot”, International Journal of Information Engineering and Electronic Business, 5(1), 2013.

[28]Farzin Piltan, N. Sulaiman & I.AsadiTalooki, “Evolutionary Design on-line Sliding Fuzzy Gain Scheduling Sliding Mode Algorithm: Applied to Internal Combustion Engine”, International Journal of Engineering Science and Technology, 3 (10):7301-7308, 2011.

[29]Farzin Piltan, Nasri B Sulaiman, Iraj Asadi Talooki & Payman Ferdosali, ”Designing On-Line Tunable Gain Fuzzy Sliding Mode Controller Using Sliding Mode Fuzzy Algorithm: Applied to Internal Combustion Engine” World Applied Science Journal (WASJ), 15 (3): 422-428, 2011.

[30]Farzin Piltan, M.J. Rafaati, F. Khazaeni, A. Hosainpour, S. Soltani, “A Design High Impact Lyapunov Fuzzy PD-Plus-Gravity Controller with Application to Rigid Manipulator”, International Journal of Information Engineering and Electronic Business, 5(1), 2013.

[31]A. Jalali, Farzin Piltan, A. Gavahian, M. Jalali, M. Adibi, “Model-Free Adaptive Fuzzy Sliding Mode Controller Optimized by Particle Swarm for Robot manipulator”, International Journal of Information Engineering and Electronic Business, 5(1), 2013.

[32]Farzin Piltan, N. Sulaiman, Payman Ferdosali, Mehdi Rashidi & Zahra Tajpeikar, “Adaptive MIMO Fuzzy Compensate Fuzzy Sliding Mode Algorithm: Applied to Second Order Nonlinear System”, International Journal of Engineering, 5 (5): 380-398, 2011. 

[33]Farzin Piltan, N. Sulaiman, Hajar Nasiri, Sadeq Allahdadi & Mohammad A. Bairami, “Novel Robot Manipulator Adaptive Artificial Control: Design a Novel SISO Adaptive Fuzzy Sliding Algorithm Inverse Dynamic Like Method”, International Journal of Engineering, 5 (5): 399-418, 2011.

[34]Farzin Piltan, N. Sulaiman, Sadeq Allahdadi, Mohammadali Dialame & Abbas Zare, “Position Control of Robot Manipulator: Design a Novel SISO Adaptive Sliding Mode Fuzzy PD Fuzzy Sliding Mode Control”, International Journal of Artificial Intelligence and Expert System, 2 (5):208-228, 2011.

[35]M. M. Ebrahimit Farzin Piltan, M. Bazregar and A.R. Nabaee “Intelligent Robust Fuzzy-Parallel Optimization Control of a Continuum Robot Manipulator”, International Journal of Control and Automation, 6(3), 2013.

[36]Farzin Piltan, M.A. Bairami, F. Aghayari, M.R. Rashidian, “Stable Fuzzy PD Control with Parallel Sliding Mode Compensation with Application to Rigid Manipulator”, International Journal of Information Technology and Computer Science, 5(7), 2013.

[37]Farzin Piltan, N. Sulaiman, Samaneh Roosta, Atefeh Gavahian & Samira Soltani, “Evolutionary Design of Backstepping Artificial Sliding Mode Based Position Algorithm: Applied to Robot Manipulator”, International Journal of Engineering, 5 (5):419-434, 2011. 

[38]Farzin Piltan, N. Sulaiman, Amin Jalali, Sobhan Siamak & Iman Nazari, “Control of Robot Manipulator: Design a Novel Tuning MIMO Fuzzy Backstepping Adaptive Based Fuzzy Estimator Variable Structure Control”, International Journal of Control and Automation, 4 (4):91-110, 2011.

[39]Farzin Piltan, N. Sulaiman, Atefeh Gavahian, Samaneh Roosta & Samira Soltani, “On line Tuning Premise and Consequence FIS: Design Fuzzy Adaptive Fuzzy Sliding Mode Controller Based on Lyaponuv Theory”, International Journal of Robotics and Automation, 2 (5):381-400, 2011.

[40]Farzin Piltan, N. Sulaiman, Samira Soltani, Samaneh Roosta & Atefeh Gavahian, “Artificial Chattering Free on-line Fuzzy Sliding Mode Algorithm for Uncertain System: Applied in Robot Manipulator”, International Journal of Engineering, 5 (5):360-379, 2011.

[41]Farzin Piltan, F. ShahryarZadeh, M. Mansoorzadeh, M. kamgari, S. Zare, “Robust Fuzzy PD Method with Parallel Computed Fuel Ratio Estimation Applied to Automotive Engine “International Journal of Intelligent Systems and Applications, 5(8), 2013.

[42]Farzin Piltan, Sadeq Allahdadi, Mohammad A.Bairami & Hajar Nasiri, “Design Auto Adjust Sliding Surface Slope: Applied to Robot Manipulator”, International Journal of Robotics and Automation, 3 (1):27-44, 2011.

[43]Farzin Piltan, Mohammadali Dialame, Abbas Zare & Ali Badri, “Design Novel Lookup Table Changed Auto Tuning FSMC:Applied to Robot Manipulator”, International Journal of Engineering, 6 (1):25-41, 2012.

[44]Farzin Piltan, M. Keshavarz, A. Badri & A. Zargari, “Design Novel Nonlinear Controller Applied to RobotManipulator: Design New Feedback Linearization Fuzzy Controller with Minimum Rule Base Tuning Method”, International Journal of Robotics and Automation, 3 (1):1-12, 2012.

[45]Farzin Piltan, Mohammad A.Bairami, Farid Aghayari & Sadeq Allahdadi, “Design Adaptive Artificial Inverse Dynamic Controller: Design Sliding Mode Fuzzy Adaptive New Inverse Dynamic Fuzzy Controller”, International Journal of Robotics and Automation, (1):13-26, 2012.

[46]Farzin Piltan, Sadeq Allahdadi, Mohammad A.Bairami & Hajar Nasiri, “Design Auto Adjust Sliding Surface Slope: Applied to Robot Manipulator”, International Journal of Robotics and Automation, 3 (1):27-44, 2012.

[47]Farzin Piltan, F. Aghayari, M. Rashidian & M. Shamsodini, “A New Estimate Sliding Mode Fuzzy Controller for RoboticManipulator”, International Journal of Robotics and Automation, 3 (1):45-60, 2012.

[48]Farzin Piltan, Iman Nazari, Sobhan Siamak, Payman Ferdosali, “Methodology of FPGA-Based Mathematical error-Based Tuning Sliding Mode Controller”, International Journal of Control and Automation, 5(1), 89-118, 2012.

[49]Farzin Piltan, Bamdad Boroomand, Arman Jahed & Hossein Rezaie, “Methodology of Mathematical Error-Based Tuning Sliding Mode Controller”, International Journal of Engineering, 6 (2):96-117, 2012.

[50]Farzin Piltan, S. Emamzadeh, Z. Hivand, F. Shahriyari & Mina Mirazaei. ” PUMA-560 Robot Manipulator Position Sliding Mode Control Methods Using MATLAB/SIMULINK and Their Integration into Graduate/Undergraduate Nonlinear Control, Robotics and MATLAB Courses”, International Journal of Robotics and Automation, 3(3):106-150, 2012.

[51]Farzin Piltan, A. Hosainpour, E. Mazlomian, M.Shamsodini, M.H Yarmahmoudi. ”Online Tuning Chattering Free Sliding Mode Fuzzy Control Design: Lyapunov Approach”, International Journal of Robotics and Automation, 3(3):77-105, 2012.

[52]Farzin Piltan, R. Bayat, F. Aghayari, B. Boroomand. “Design Error-Based Linear Model-Free Evaluation Performance Computed Torque Controller”, International Journal of Robotics and Automation, 3(3):151-166, 2012.

[53]Farzin Piltan, J. Meigolinedjad, S. Mehrara, S. Rahmdel. ”Evaluation Performance of 2nd Order Nonlinear System: Baseline Control Tunable Gain Sliding Mode Methodology”, International Journal of Robotics and Automation, 3(3): 192-211, 2012.

[54]Farzin Piltan, Mina Mirzaei, Forouzan Shahriari, Iman Nazari, Sara Emamzadeh, “Design Baseline Computed Torque Controller”, International Journal of Engineering, 6(3): 129-141, 2012.

[55]Farzin Piltan, Sajad Rahmdel, Saleh Mehrara, Reza Bayat , “Sliding Mode Methodology Vs. Computed Torque Methodology Using MATLAB/SIMULINK and Their Integration into Graduate Nonlinear Control Courses” , International Journal of Engineering, 6(3): 142-177, 2012.

[56]Farzin Piltan , M.H. Yarmahmoudi, M. Shamsodini, E.Mazlomian, A.Hosainpour. ”PUMA-560 Robot Manipulator Position Computed Torque Control Methods Using MATLAB/SIMULINK and Their Integration into Graduate Nonlinear Control and MATLAB Courses”, International Journal of Robotics and Automation, 3(3): 167-191, 2012.

[57]Farzin Piltan, Hossein Rezaie, Bamdad Boroomand, Arman Jahed. “Design Robust Backstepping on-line Tuning Feedback Linearization Control Applied to IC Engine”, International Journal of Advance Science and Technology, 11:40-22, 2012. 

[58]Farzin Piltan, S. Siamak, M.A. Bairami and I. Nazari. ” Gradient Descent Optimal Chattering Free Sliding Mode Fuzzy Control Design: Lyapunov Approach”, International Journal of Advanced Science and Technology, 43: 73-90, 2012.

[59]Farzin Piltan, M.R. Rashidian, M. Shamsodini and S. Allahdadi. ” Effect of Rule Base on the Fuzzy-Based Tuning Fuzzy Sliding Mode Controller: Applied to 2nd Order Nonlinear System”, International Journal of Advanced Science and Technology, 46:39-70, 2012.

[60]Farzin Piltan, A. Jahed, H. Rezaie and B. Boroomand. ” Methodology of Robust Linear On-line High Speed Tuning for Stable Sliding Mode Controller: Applied to Nonlinear System”, International Journal of Control and Automation, 5(3): 217-236, 2012.

[61]Farzin Piltan, R. Bayat, S. Mehara and J. Meigolinedjad. ”GDO Artificial Intelligence-Based Switching PID Baseline Feedback Linearization Method: Controlled PUMA Workspace”, International Journal of Information Engineering and Electronic Business, 5: 17-26, 2012.

[62]Farzin Piltan, B. Boroomand, A. Jahed and H. Rezaie. ”Performance-Based Adaptive Gradient Descent Optimal Coefficient Fuzzy Sliding Mode Methodology”, International Journal of Intelligent Systems and Applications, 11: 40-52 2012.

[63]Farzin Piltan, S. Mehrara, R. Bayat and S. Rahmdel. ” Design New Control Methodology of Industrial Robot Manipulator: Sliding Mode Baseline Methodology”, International Journal of Hybrid Information Technology, 5(4):41-54, 2012.

[64]AH Aryanfar, MR Khammar, Farzin Piltan, “Design a robust self-tuning fuzzy sliding mode control for second order systems”, International Journal of Engineering Science REsearch, 3(4): 711-717, 2012.

[65]Farzin Piltan, Shahnaz Tayebi Haghighi, “Design Gradient Descent Optimal Sliding Mode Control of Continuum Robots”, International Journal of Robotics and Automation, 1(4): 175-189, 2012.

[66]Farzin Piltan, A. Nabaee, M.M. Ebrahimi, M. Bazregar, “Design Robust Fuzzy Sliding Mode Control Technique for Robot Manipulator Systems with Modeling Uncertainties”, International Journal of Information Technology and Computer Science, 5(8), 2013.

[67]Farzin Piltan, M. Akbari, M. Piran , M. Bazregar. ”Design Model Free Switching Gain Scheduling Baseline Controller with Application to Automotive Engine”, International Journal of Information Technology and Computer Science, 01:65-73, 2013.

[68]Farzin Piltan, M. Piran , M. Bazregar, M. Akbari, “Design High Impact Fuzzy Baseline Variable Structure Methodology to Artificial Adjust Fuel Ratio”, International Journal of Intelligent Systems and Applications, 02: 59-70, 2013.

[69]Farzin Piltan, M. Mansoorzadeh, M. Akbari, S. Zare, F. ShahryarZadeh “Management of Environmental Pollution by Intelligent Control of Fuel in an Internal Combustion Engine“ Global Journal of Biodiversity Science And Management, 3(1), 2013.