Research Article
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Year 2018, Volume: 6 Issue: 1, 29 - 35, 15.02.2018
https://doi.org/10.17694/bajece.401992

Abstract

References

  • [1] M. Raibert et al., Bigdog, “the rough-terrain quadruped robot”, Proceedings of the 17th World Congress The International Federation of Automatic Control, pp. 10822-10825, Seoul, Korea, 2008.
  • [2] M. Hutter et al., “Anymal-a highly mobile and dynamic quadrupedal robot”, Intelligent Robots and Systems (IROS), 2016 IEEE/RSJ International Conference on. IEEE, 2016.
  • [3] J. Cho et al., “Simple Walking Strategies for Hydraulically Driven Quadruped Robot over Uneven Terrain”, Journal of Electrical Engineering & Technology, vol. 11, no. 5, pp. 1921-718, 2016.
  • [4] C. Semini et al., “Design of the Hydraulically-Actuated Torque-Controlled Quadruped Robot HyQ2Max”, IEEE/ASME Transactions on Mechatronics, vol. 22, no. 2, pp. 635-646, 2017.
  • [5] K. R. Das, D. Das, and Das J., “Optimal tuning of PID controller using GWO algorithm for speed control in DC motor”, Soft Computing Techniques and Implementations (ICSCTI), 2015 International Conference on. IEEE, 2015.
  • [6] A. Madadi and M. M. Motlagh, “Optimal control of DC motor using grey wolf optimizer algorithm”, TJEAS Journal-2014-4-04/373-379, vol. 4, no. 4, pp.373-79, 2014.
  • [7] R. G. Kanojiya and P. M. Meshram, “Optimal tuning of PI controller for speed control of DC motor drive using particle swarm optimization”, Advances in Power Conversion and Energy Technologies (APCET), 2012 International Conference on. IEEE, 2012.
  • [8] P.B. de Moura Oliveira, H. Freire, and E.J. Solteiro Pires, “Grey wolf optimization for PID controller design with prescribed robustness margins”, Soft Computing, vol.20, pp.4243-4255, 2016.
  • [9] S.K. Verma, S. Yadav, and S.K. Nagar, “Optimization of Fractional Order PID Controller Using Grey Wolf Optimizer”, Journal of Control Automation and Electrical Systems, vol. 28, pp. 314-322, 2017. https://doi.org/10.1007/s40313-017-0305-3
  • [10] D. K. Lal, A. K. Barisal, and M. Tripathy, “Grey wolf optimizer algorithm based fuzzy PID controller for AGC of multi-area power system with TCPS”, Procedia Computer Science, vol. 92, pp. 99-105, 2016.
  • [11] P. W. Tsai, T. T. Nguyen, T. K. Dao, “Robot Path Planning Optimization Based on Multiobjective Grey Wolf Optimizer”, In: Pan JS., Lin JW., Wang CH., Jiang X. (eds) Genetic and Evolutionary Computing. ICGEC 2016. Advances in Intelligent Systems and Computing, Springer, Cham, vol 536, pp.166-173, 2017.
  • [12] N. Razmjooy, M. Ramezani, and A. Namadchian, “A New LQR Optimal Control for a Single-Link Flexible Joint Robot Manipulator Based on Grey Wolf Optimizer”, Majlesi Journal of Electrical Engineering vol.10, no. 3, pp.53-60, 2016.
  • [13] A. H. V. Hultmann, C. L. do Santos, “Tuning of PID Controller Based on a Multiobjective Genetic Algorithm Applied to a Robotic Manipulator”, Expert Systems with Applications, vol. 39, pp. 8968–8974, 2012.
  • [14] R. A. Krohling and J. P. Rey, “Design of optimal disturbance rejection PID controllers using genetic algorithms”, IEEE Transactions on Evolutionary Computation, vol. 5, no. 1, pp. 78–82, 2001.
  • [15] S. Mirjalili, S. M. Mirjalili, and A. Lewis, “Grey wolf optimizer”, Advances in Engineering Software, vol. 69, pp. 46-6, 2014.
  • [16] S. Mirjalili et al., “Multi-objective grey wolf optimizer: a novel algorithm for multi-criterion optimization”, Expert Systems with Applications vol. 47, pp.106-119, 2016.
  • [17] Mirjalili S., “How effective is the Grey Wolf optimizer in training multi-layer perceptrons, Applied Intelligence”, vol. 43, no. 1, pp. 150-161, 2015.
  • [18] S. Shahrzad, S. Z. Mirjalili, and S. M. Mirjalili, “Evolutionary population dynamics and grey wolf optimizer”, Neural Computing and Applications vol. 26, no. 5, pp. 1257-1263, 2015.
  • [19] X. Song, et al., “Grey Wolf Optimizer for parameter estimation in surface waves”, Soil Dynamics and Earthquake Engineering vol. 75, pp. 147-157, 2015.
  • [20] J. Kennedy, “Particle swarm optimization, Encyclopedia of machine learning”, Springer US, pp.760-766, 2011.
  • [21] M. Zarringhalami, S. M. Hakimi and M. Javadi, “Optimal Regulation of STATCOM Controllers and PSS Parameters Using Hybrid Particle Swarm Optimization”, IEEE conference, 2010.
  • [22] S. Panda, and N. Padhy, “Comparison of particle swarm optimization and Genetic Algorithm for FACTS-based controller design”, International journal of Applied Soft Computing, pp. 1418-1427, 2008.
  • [23] S. S. Rao, “Engineering Optimization Theory and Practice”, 4th Edition, John Wiley & Sons Inc. 2009.
  • [24] MATLAB Global Optimization Toolbox User’s Guide (Release 2015b), http://www.mathworks.com/help/gads/index.html

Optimal Tuning of PID Controller Using Grey Wolf Optimizer Algorithm for Quadruped Robot

Year 2018, Volume: 6 Issue: 1, 29 - 35, 15.02.2018
https://doi.org/10.17694/bajece.401992

Abstract

The research and
development of quadruped robots is grown steadily in during the last two
decades. Quadruped robots present major advantages when compared with tracked
and wheeled robots, because they allow locomotion in terrains inaccessible.
However, the design controller is a major problem in quadruped robots because
of they have complex structure. This paper presents the optimization of two PID
controllers for a quadruped robot to ensure single footstep control in a
desired trajectory using a bio-inspired meta-heuristic soft computing method
which is name the Grey Wolf Optimizer (GWO) algorithm. The main objective of
this paper is the optimization of KP, KI and KD
gains with GWO algorithm in order to obtain more effective PID controllers for
the quadruped robot leg. The importance to this work is that GWO is used first
time as a diversity method for a quadruped robot to tune PID controller.
Moreover, to investigate the performance of GWO, it is compared with widespread
search algorithms. Firstly, the computer aided design (CAD) of the system are
built using SolidWorks and exported to MATLAB/SimMechanics. After that, PID
controllers are designed in MATLAB/Simulink and tuned gains using the newly
introduced GWO technique. Also, to show the efficacy of GWO algorithm
technique, the proposed technique has been compared by Genetic Algorithm (GA)
and Particle Swarm Optimization (PSO) algorithm. The system is simulated in
MATLAB and the simulation results are presented in graphical forms to
investigate the controller’s performance.

References

  • [1] M. Raibert et al., Bigdog, “the rough-terrain quadruped robot”, Proceedings of the 17th World Congress The International Federation of Automatic Control, pp. 10822-10825, Seoul, Korea, 2008.
  • [2] M. Hutter et al., “Anymal-a highly mobile and dynamic quadrupedal robot”, Intelligent Robots and Systems (IROS), 2016 IEEE/RSJ International Conference on. IEEE, 2016.
  • [3] J. Cho et al., “Simple Walking Strategies for Hydraulically Driven Quadruped Robot over Uneven Terrain”, Journal of Electrical Engineering & Technology, vol. 11, no. 5, pp. 1921-718, 2016.
  • [4] C. Semini et al., “Design of the Hydraulically-Actuated Torque-Controlled Quadruped Robot HyQ2Max”, IEEE/ASME Transactions on Mechatronics, vol. 22, no. 2, pp. 635-646, 2017.
  • [5] K. R. Das, D. Das, and Das J., “Optimal tuning of PID controller using GWO algorithm for speed control in DC motor”, Soft Computing Techniques and Implementations (ICSCTI), 2015 International Conference on. IEEE, 2015.
  • [6] A. Madadi and M. M. Motlagh, “Optimal control of DC motor using grey wolf optimizer algorithm”, TJEAS Journal-2014-4-04/373-379, vol. 4, no. 4, pp.373-79, 2014.
  • [7] R. G. Kanojiya and P. M. Meshram, “Optimal tuning of PI controller for speed control of DC motor drive using particle swarm optimization”, Advances in Power Conversion and Energy Technologies (APCET), 2012 International Conference on. IEEE, 2012.
  • [8] P.B. de Moura Oliveira, H. Freire, and E.J. Solteiro Pires, “Grey wolf optimization for PID controller design with prescribed robustness margins”, Soft Computing, vol.20, pp.4243-4255, 2016.
  • [9] S.K. Verma, S. Yadav, and S.K. Nagar, “Optimization of Fractional Order PID Controller Using Grey Wolf Optimizer”, Journal of Control Automation and Electrical Systems, vol. 28, pp. 314-322, 2017. https://doi.org/10.1007/s40313-017-0305-3
  • [10] D. K. Lal, A. K. Barisal, and M. Tripathy, “Grey wolf optimizer algorithm based fuzzy PID controller for AGC of multi-area power system with TCPS”, Procedia Computer Science, vol. 92, pp. 99-105, 2016.
  • [11] P. W. Tsai, T. T. Nguyen, T. K. Dao, “Robot Path Planning Optimization Based on Multiobjective Grey Wolf Optimizer”, In: Pan JS., Lin JW., Wang CH., Jiang X. (eds) Genetic and Evolutionary Computing. ICGEC 2016. Advances in Intelligent Systems and Computing, Springer, Cham, vol 536, pp.166-173, 2017.
  • [12] N. Razmjooy, M. Ramezani, and A. Namadchian, “A New LQR Optimal Control for a Single-Link Flexible Joint Robot Manipulator Based on Grey Wolf Optimizer”, Majlesi Journal of Electrical Engineering vol.10, no. 3, pp.53-60, 2016.
  • [13] A. H. V. Hultmann, C. L. do Santos, “Tuning of PID Controller Based on a Multiobjective Genetic Algorithm Applied to a Robotic Manipulator”, Expert Systems with Applications, vol. 39, pp. 8968–8974, 2012.
  • [14] R. A. Krohling and J. P. Rey, “Design of optimal disturbance rejection PID controllers using genetic algorithms”, IEEE Transactions on Evolutionary Computation, vol. 5, no. 1, pp. 78–82, 2001.
  • [15] S. Mirjalili, S. M. Mirjalili, and A. Lewis, “Grey wolf optimizer”, Advances in Engineering Software, vol. 69, pp. 46-6, 2014.
  • [16] S. Mirjalili et al., “Multi-objective grey wolf optimizer: a novel algorithm for multi-criterion optimization”, Expert Systems with Applications vol. 47, pp.106-119, 2016.
  • [17] Mirjalili S., “How effective is the Grey Wolf optimizer in training multi-layer perceptrons, Applied Intelligence”, vol. 43, no. 1, pp. 150-161, 2015.
  • [18] S. Shahrzad, S. Z. Mirjalili, and S. M. Mirjalili, “Evolutionary population dynamics and grey wolf optimizer”, Neural Computing and Applications vol. 26, no. 5, pp. 1257-1263, 2015.
  • [19] X. Song, et al., “Grey Wolf Optimizer for parameter estimation in surface waves”, Soil Dynamics and Earthquake Engineering vol. 75, pp. 147-157, 2015.
  • [20] J. Kennedy, “Particle swarm optimization, Encyclopedia of machine learning”, Springer US, pp.760-766, 2011.
  • [21] M. Zarringhalami, S. M. Hakimi and M. Javadi, “Optimal Regulation of STATCOM Controllers and PSS Parameters Using Hybrid Particle Swarm Optimization”, IEEE conference, 2010.
  • [22] S. Panda, and N. Padhy, “Comparison of particle swarm optimization and Genetic Algorithm for FACTS-based controller design”, International journal of Applied Soft Computing, pp. 1418-1427, 2008.
  • [23] S. S. Rao, “Engineering Optimization Theory and Practice”, 4th Edition, John Wiley & Sons Inc. 2009.
  • [24] MATLAB Global Optimization Toolbox User’s Guide (Release 2015b), http://www.mathworks.com/help/gads/index.html
There are 24 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Araştırma Articlessi
Authors

Muhammed Arif Şen

Mete Kalyoncu This is me

Publication Date February 15, 2018
Published in Issue Year 2018 Volume: 6 Issue: 1

Cite

APA Şen, M. A., & Kalyoncu, M. (2018). Optimal Tuning of PID Controller Using Grey Wolf Optimizer Algorithm for Quadruped Robot. Balkan Journal of Electrical and Computer Engineering, 6(1), 29-35. https://doi.org/10.17694/bajece.401992

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