Robust Reference Tracking and Load Rejection on Non-Linear System Using Controllers

DC-DC converters form a class of highly nonlinear systems and are widely used in most practical applications. Positive Output Elementary Luo Converter (POELC) is a fourth-order converter used to regulate dc voltages in low power applications with varying input voltage and load conditions. POELC is employed to regulate dc voltages for sensitive load applications like SMPS, powering hard disks etc. The control of higher-order converters is always a challenging task due to the highly nonlinear nature of these converters. Hence the development of an optimal controller for POELC is proposed in this paper. The proposed control methods are investigated for transient and steady-state performances considering practical operating conditions. The controllers are designed, simulated and the performance of POELC with various controllers is evaluated in the MATLAB/Simulink environment. The PI controller exhibits better performance in the linear region whereas, in the nonlinear region, due to time variance and switching nature. To minimize the sensitivity to external disturbances and to improve the stability margins, an LQR is designed to regulate the output of POELC. The result shows that a well-designed LQR feedback can stabilize the system and enhances its performance in terms of Integral Absolute Error (IAE), Integral Square Error (ISE). Certain case studies are discussed concerning practical applications.

Keywords:

Positive output elementary luo converter, Proportional integral controller, Linear quadratic regulator Integral absolute error, Integral square error,

PDF

___

[1] Achiammal, B., Thillaikarasi, M., “Performance Analysis of PI controller for power electronic Converter usinng evolutionary algorithm”, International Journal of Advance Research in Science and Engineering, 7(2): 1132–1140, (2018).
[2] Luo, F., L., Ye, H., Rashid, M., H., “Multiple-quadrant Luo-converters”, IEE Proceedings-Electric Power Applications, 149(1): 9–18, (2002).
[3] Luo, F., L., Ye, H., “Positive output cascade boost converters”, IEE Proceedings- Electric Power Applications, 151: 590–606, (2004).
[4] Muhammed Abuljaleel Ibrahim., “Performance evaluation of PI controller for positive output Luo converter”, International Journal Power Electronics and Drive System, 11: 1816-1825, (2020).
[5] Nouri, T., Hosseini, S., H., Babaei, E., Ebrahimi, J., “A non-isolated three- phase high step-up DC–DC converter suitable for renewable energy systems”, Electric Power Systems Research, 140: 209–224, (2016).
[6] Kaouane, M., Boukhelifa, A., Cheriti, A., “Regulated output voltage double switch Buck-Boost converter for photovoltaic energy application”, International Journal of Hydrogen Energy, 41(45): 20847–20857, (2016).
[7] Ramash Kumar, K., Jeevananthan, S., “PI control for positive output elementary super lift luo converter”, World Academy of Science, Engineering and Technology, 39(3): 732–737, (2009).
[8] Rebeiro, R., S., Uddin, M., N., “Performance analysis of an FLC-based online adaptation of both hysteresis and PI controllers for IPMSM drive”, IEEE Transactions on Industry Applications, 48(1): 12–19, (2011).
[9] Singh, S., Sharma, D., K., Kishore, K., Botre, B., A., Akbar, S., A., “Modeling, Simulation, and Implementation of Fast Settling Switched PI Controller for MOX Integrated Pt Micro heater”, IEEE Sensors Journal, 18(20): 8549–8557, (2018).
[10] Renwal, D., Kumar, M., “Hybrid PI-fuzzy logic controller based DC-DC converter”, Proceedings of the 2015 International Conference on Green Computing and Internet of Things, ICGCIoT 2015, 1: 753–757, (2016).
[11] Chincholkar, S., H., Chan, C., Y., “Comparative study of current-mode controllers for the positive output elementary Luo converter via state-space and frequency response approaches”, IET Power Electronics, 8(7): 1137–1145, (2015).
[12] Jazi, H., N., Goudarzian, A., Pourbagher, R., Derakhshandeh, S., Y., “PI and PWM Sliding Mode Control of POESLL Converter”, IEEE Transactions on Aerospace and Electronic Systems, 53(5): 2167–2177, (2017).
[13] Mahdavi, M., Shahriari-Kahkeshi, M. and Abjadi, N. R., “An Adaptive Estimator-Based Sliding Mode Control Scheme for Uncertain POESLL Converter”, IEEE Transactions on Aerospace and Electronic Systems, 55(6), 3551–3560, (2019).
[14] Usharani, V., Agasthiya, R., “Enhanced MPPT Technique For DC-DC Luo Converter Using Model Predictive Control For Photovoltaic Systems”, International Journal of Engineering Research and Development, 11(01), 2278–67, (2015).
[15] Wang, B., Kanamarlapudi, V., R., K., Xian, L., Peng, X., Tan, K., T., So, P., L., “Model Predictive Voltage Control for Single-Inductor Multiple-Output DC- DC Converter with Reduced Cross Regulation”, IEEE Transactions on Industrial Electronics, 63(7): 4187–4197, (2016).
[16] Montagner, V., F., and Fabricio, H., D., “A Robust LQR Applied To A Boost Converter With Response Optimized Using A Genetic Algorithm”, XVIII Brazilian Congress of Automatics, 2297–2302, (2010).
[17] Abdullah, M., A., Tan, C., W., and Yatim, A., H., “A simulation comparison of PI and Linear Quadratic Regulator controllers in DC-DC converter”, IEEE Conference on Energy Conversion, 1: 37–41, (2015).
[18] Mohammed Ahsan, A., d., M., Federico, M., “Modelling and Simulation of PI-controllers Limiters for the Dynamic Analysis of VSC-based Devices”, IEEE Transactions on Power Systems, 8950(c): 1–9, (2019).
[19] Luo, F.L., and Ye, H., “Advanced DC / DC Converters”, 3rd Edition, CRC Press, Boca Raton, USA, (2004).
[20] Mohan, N., Underland, T., Robbins, W., “Power Electronics - Converters, Applications and Design”, 2nd Edition, John Wiley and Sons Inc, USA, (2003).
[21] Lindiya, A., Palani, S., Iyyappan, M.,“Performance comparison of various controllers for DC-DC synchronous buck converter”, Procedia Engineering, 38: 2679– 2693, (2012).
[22] Guo, L., Hung, J., Y., Nelms, R., M., “Comparative evaluation of sliding mode fuzzy controller and PID controller for a boost converter”, Electric Power Systems Research, 81(1): 99–106, (2011).
[23] Paraskevopoulos, P., N., “Modern control engineering”, 1st Edition, CRC Press, (2001).
[24] Ogata, K., “Modern control engineering”, 5th Edition, Prentice Hall, (2017).