Trajectory Tracking with Input Constraint based on LMI Approach of a Nonholonomic Mobile Robot

Penulis

  • Auliya Nabila Institut Teknologi Sepuluh Nopember
  • Trihastuti Agustinah Institut Teknologi Sepuluh Nopember

DOI:

https://doi.org/10.12962/jaree.v5i1.193

Abstrak

Nonholonomic Mobile Robot (NMR) is a mode of transportation that is widely used in industry. To achieve flexibility in carrying out its duties, an adequate control system is needed in transportation arrangements so that it is used as an object of research. The problem that is taken in this study is about tracking control for several reference trajectories with input constraint. To solve this problem two controllers were designed, kinematics controller and dynamics controller. Kinematics controller is designed so that the additional speed converges to the desired speed by adjusting the gain value. Dynamic controller is designed using  performance to overcome the input constraint and the Lyapunoc inequality is soleved by Linear Matric Inequalities (LMI) so the gain state-feedback can be obtained. Simulation results show that the designed controller is capable of tracking according to the reference trajectory with input constraint given.Keywords: 𝑯∞ performance, input constraint, linear matrix inequalities, NMR.

Referensi

T. C. Lee dan Z. P. Jiang, “Uniform Asymptotic Stability of Nonlinear Switched Systems with An Application to Mobile Robotsâ€, IEEE Trans. Automat. Control, Vol. 53, No. 1235-1252, 2008

T. Fukao, H. Nakagawa, dan N. Adachi, “Adaptive Tracking Control of a Nonholonomic Mobile Robotâ€, IEEE Trans. Robot Automat., Vol. 16, No. 609-615, 2000.

S. H. Yu, C. H. Yun, dan H. S. Kang, “Robust Dynamic Surface Tracking Control for Uncertain Wheeled Mobile Robot with Skidding and Slipping†IEEE International Conference on Control and Robotics Engineer, Singapore, 2016.

J. Chang dan Q. X. Meng, “Sliding Mode Control of Trajectory Tracking for Nonholonomic Wheeled Mobile Robotsâ€, Control Engineering, Vol. 17, No. 6, 849-852, 2010.

Y. Wang, Z. Miao, H. Zhong, dan Qi Pan, “Simultaneous Stabilization and Tracking of Nonholonomic Mobile Robot: A Lyapunov – Based Approachâ€, IEEE Translation on Control System Technology, Vol. 23, No. 4, 2015.

T. C. Lee dan K. T. Song, “Tracking Control of Unicycle-Modeled Mobile Robots Using A Saturation Feedback Controllerâ€, IEEE Trans.

S. Wuxi, Y. Junxiong, dan L. Rui, “Linear Active Disturbance Rejection Control for Mobile Robot with Input Saturationâ€, Proceedings of the 37th Chinese Control Conference, 2018.

N. O. Perez-Arancibia, T. C. Tsao, dan J. S. Gibson, “Saturation-Induced Instability and Its Avoidance in Adaptive Control of Hard Disk Drivesâ€, IEEE Trans. Control System Technology, 18 (2010) 368-382.

V. Kapila, dan K. Grigoriadis, “Actuator Saturation Controlâ€, Automation and Control Engineering, CRC Press, 2002.

J. Huang, C. Wen, W. Wang, dan Z. P. Jiang, “Adaptive Stabilization and Tracking Control of a Nonholonomic Mobile Robot with Input Saturation and Disturbanceâ€, Systems & Control Letters 62 (2013) 234-241.

T. T. Yang, Z. Y. Liu, H. Chen, dan R. Pei, “The Research on Robust Tracking Control of Constrained Wheeled Mobile Robotsâ€, Proceedings of the Fourth International Conference on Machine Learning and Cybernetics, Guangzhou, 18-21 August, 2005.

Omid Mohareri, “Mobile Robot Trajectory Tracking Using Neural Networksâ€, Sharjah, UAE, december, 2009.

K. Ogata, “Modern Control Engineeringâ€, Prentice-Hall, New Jersey, 1997.

Zhou dan Kemin, “Essentials of Robust Controlâ€, New Jersey: Prentice-Hall, may, 1999.

S. Boyd, L. El Ghaoui, E. Feron, dan V. Balakrishnan, “Linear Matrix Inequalities in System and Control Theoryâ€, Philadelphia: Society for Industrial and Applied Mathematics, 1994.

##submission.downloads##

Diterbitkan

2021-04-01

Terbitan

Bagian

Articles(Jaree lama)