The Analytical Design and Implementation of Inverted Pendulum Control System using Linear Quadratic Regulator
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ABSTRAK
Makalah ini menyajikan proses rancang bangun sistem kendali pendulum terbalik dengan menggunakan metode LQR. Model sistem diperoleh dengan melakukan analisis free body diagram dari sistem pendulum terbalik kemudian setelah diperoleh model sistem dilanjutkan dengan membuat persamaan ruang keadaan yang selanjutnya digunakan untuk sistem kendali LQR di mana energi yang digunakan dapat diatur sesuai dengan kebutuhan. Digunakan 10 skenario untuk mendapatkan kriteria perancangan yang diinginkan. Penentuan skenario yang tepat dapat dilakukan dengan simulasi MATLAB sehingga dapat dilihat tanggapan sistem dengan menentukan koefisien matriks Q dan matriks R yang tepat. Melalui beberapa pengujian dapat ditunjukkan bahwa untuk menjaga pendulum tetap stabil diperlukan pengaturan energi yang tepat.
Kata kunci: LQR, MATLAB, pendulum terbalik, variabel keadaan
ABSTRACT
This paper presents the design process of an inverted pendulum control system using the LQR method. The system model is obtained by analyzing the free body diagram of the inverted pendulum system, then after obtaining the system model, proceed with creating a state space equation which is then used for the LQR control system where the energy used can be adjusted according to needs. 10 scenarios were used to obtain the desired design criteria. Determining the right scenario can be done using MATLAB simulation so that the system response can be seen by determining the correct Q matrix and R matrix coefficients. Through several tests it can be shown that to keep the pendulum stable it requires proper energy settings.
Keywords: LQR, MATLAB, inverted pendulum, state-variable
Kata Kunci
Teks Lengkap:
PDF (English)Referensi
Banerjee, R., & Pal, A. (2018). Stabilization of Inverted Pendulum on Cart Based on LQG Optimal Control. 2018 International Conference on Circuits and Systems in Digital Enterprise Technology, ICCSDET 2018, (pp. 1–4).
Borkar, A. (2017). Hybrid Control Design for Swing up and Stabilization of Cart Pendulum System. 2017 International Conference on Intelligent Computing, Instrumentation and Control Technologies (ICICICT), (pp. 1051–1057).
Erkol, H. O. (2018). Linear Quadratic Regulator Design for Position Control of an Inverted Pendulum by Grey Wolf Optimizer. International Journal of Advanced Computer Science and Applications, 9(4).
Fahmizal, F., Arrofiq, M., Adrian, R., & Mayub, A. (2019). Robot Inverted Pendulum Beroda Dua (IPBD) dengan Kendali Linear Quadratic Regulator (LQR). ELKOMIKA: Jurnal Teknik Energi Elektrik, Teknik Telekomunikasi, & Teknik Elektronika , 7(2), 224.
Kuo, B. C. (1975). Automatic Control Systems (Third). Prentice-Hall.
Ogata, K. (2010). Modern control engineering. In Modern Control Engineering.
Owais, M., Ul-Haque, A., Rahim, H. A., & ... (2019). Control Design and Implementation of an Inverted Pendulum on a Cart. 2019 IEEE 6th.
Parvathy, S., & Daniel, V. P. (2015). Stabilization of an Inverted Pendulum using robust controller. Proceedings of 2015 IEEE 9th International Conference on Intelligent Systems and Control, ISCO 2015, 0–3.
Prakash, B., Khrisna, B., & Kumar, R. (2016). Design, Implementation and Comparison of Different Controllers for a Rotary Inverted Pendulum. 1–6.
Shuang, L., & Jian, F. (2014). Linear quadratic optimal controller design an inverted pendulum. Proceedings - 2014 International Symposium on Computer, Consumer and Control, IS3C 2014, 416–418.
Singh, G., & Singla, A. (2017). Modeling, analysis and control of a single stage linear inverted pendulum. IEEE International Conference on Power, Control, Signals and Instrumentation Engineering, ICPCSI 2017, (pp. 2728–2733).
Strakos, P., & Tuma, J. (2017). Mathematical modelling and controller design of inverted pendulum. 2017 18th International Carpathian Control.
Valluru, S. K. (2018). Experimental Validation of PID and LQR Control Techniques for Stabilization of Cart Inverted Pendulum System. 2018 3rd IEEE International Conference on Recent Trends in Electronics, Information & Communication Technology (RTEICT), (pp. 708–712).
Valluru, S. K., Singh, M., & Singh, M. (2018). Application of Linear Quadratic Methods to Stabilize Cart Inverted Pendulum Systems Sudarshan. 2nd IEEE International Conference on Power Electronics, Intelligent Control and Energy Systems (ICPEICES-2018).
Vijayalakshmi, V., Jenifer, Z., & Srinivasan, A. (2013). Real Time Pole Placement Controller Design And Implementation of a Rotary Inverted Pendulum-Using LabVIEW. In Ind Sci Journal. researchgate.net.
zjor. (2019). Inverted Pendulum on a Cart. https://projecthub.arduino.cc/zjor/invertedpendulum-on-a-cart-d4fdfc.
DOI: https://doi.org/10.26760/elkomika.v12i3.625
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