Optimal adaptive state feedback control for a three degree-of-freedom series-type double inverted pendulum system by using particle swarm optimisation

References

• Abedi Pahnehkolaei, S. M., A. Alfi, and J. A. Tenreiro Machado. 2017. “Chaos Suppression in Fractional Systems Using Adaptive Fractional State Feedback Control, Chaos.” Solitons & Fractals 103: 488–503. doi:10.1016/j.chaos.2017.06.003.
   Web of Science ®Google Scholar
• Albi, G., M. Herty, and L. Pareschi. 2019. “Linear Multistep Methods for Optimal Control Problems and Applications to Hyperbolic Relaxation Systems.” Applied Mathematics and Computation 354: 460–477. doi:10.1016/j.amc.2019.02.021.
   Web of Science ®Google Scholar
• Chang, Q., Y. Yang, X. Sui, and Z. Shi. 2019. “The Optimal Control Synchronization of Complex Dynamical Networks with time-varying Delay Using PSO.” Neurocomputing 333: 1–10. doi:10.1016/j.neucom.2018.12.020.
   Web of Science ®Google Scholar
• Chen, X., R. Yu, K. Huang, S. Zhen, K. Shao, and Ke Shao. 2018. “Linear Motor Driven Double Inverted Pendulum: A Novel Mechanical Design as A Testbed for Control Algorithms.” Simulation Modelling Practice and Theory 81: 31–50. doi:10.1016/j.simpat.2017.11.009.
   Web of Science ®Google Scholar
• Cheng, L., Z. Zuo, J. Song, and X. Liang. 2019. “Robust three-dimensional path-following Control for an under-actuated Stratospheric Airship.” Advances in Space Research 63 (1): 526–538. doi:10.1016/j.asr.2018.09.008.
   Web of Science ®Google Scholar
• Gao, S., H. Dong, H. Song, and M. Zhou. 2019a. “On State Feedback Control and Lyapunov Analysis of car-following Model.” Physica A: Statistical Mechanics and Its Applications 53415: 122320. doi:10.1016/j.physa.2019.122320.
   Google Scholar
• Gao, S., H. Dong, H. Song, and M. Zhou. 2019b. “On State Feedback Control and Lyapunov Analysis of car-following Model.” Physica A: Statistical Mechanics and Its Applications 534: 122320. doi:10.1016/j.physa.2019.122320.
   Web of Science ®Google Scholar
• Gu, N., D. Wang, Z. Peng, and L. Liu. 2019. “Distributed Containment Maneuvering of Uncertain under-actuated Unmanned Surface Vehicles Guided by Multiple Virtual Leaders with a Formation.” Ocean Engineering 187: 105996. doi:10.1016/j.oceaneng.2019.04.077.
   Web of Science ®Google Scholar
• Jennawasin, T., and D. Banjerdpongchai. 2018. “Design of state-feedback Control for Polynomial Systems with Quadratic Performance Criterion and Control Input Constraints.” Systems & Control Letters 117: 53–59. doi:10.1016/j.sysconle.2018.05.004.
   Web of Science ®Google Scholar
• Kennedy, J., and R. Eberhart. “Particle Swarm Optimization.” Proceedings of ICNN’95 - International Conference on Neural Networks, 1995, Perth, WA, Australia.
   Google Scholar
• L. Zhang, J., and W. Zhang. 2012. “LQR self-adjusting Based Control for the Planar Double Inverted Pendulum.” Physics Procedia, Part C 24: 1669–1676. doi:10.1016/j.phpro.2012.02.246.
   Google Scholar
• Laina, R., F. E.Z. Lamzouri, E.M. Boufounas, A. E. Amrani, and I. Boumhidi. 2018. “Intelligent Control of a DFIG Wind Turbine Using a PSO Evolutionary Algorithm.” Procedia Computer Science 127: 471–480. doi:10.1016/j.procs.2018.01.145.
   Google Scholar
• Le, T.L., C.M. Lin, and T.T. Huynh. 2018. “Self-evolving Type-2 Fuzzy Brain Emotional Learning Control Design for Chaotic Systems Using PSO.” Applied Soft Computing 73: 418–433. doi:10.1016/j.asoc.2018.08.022.
   Web of Science ®Google Scholar
• li, X., X. Peng, and Z. Geng. 2019. “Anti-swing Control for 2-D under-actuated Cranes with Load hoisting/lowering: A coupling-based Approach.” ISA Transactions, in Press, Corrected Proof, Available Online 95: 372–378.
   PubMedGoogle Scholar
• Li, Y., Y. Yin, S. Zhang, J. Dong, and R. Johansson. 2020. “Composite Adaptive Control for Bilateral Teleoperation Systems without Persistency of Excitation.” Journal of the Franklin Institute. In press, journal pre. In press, journal preproof, Available online 357 2: 773–795. DOI:10.1016/j.jfranklin.2019.04.001.
   Web of Science ®Google Scholar
• Li, B., X. Du, H. Fan, Z. Liu, and C. Liu. 2022. “Microgrid Inverter Control Strategy Based on Augmented State Feedback and Dynamic Feedforward Compensation.” Energy Reports 8: 723–732. doi:10.1016/j.egyr.2022.03.200.
   Web of Science ®Google Scholar
• Liu, F., Z. Zhang, and M. Buss. 2019. “Robust Optimal Control of Deterministic Information Epidemics with Noisy Transition Rates.” Physica A: Statistical Mechanics and Its Applications 517: 577–587. doi:10.1016/j.physa.2018.11.025.
   Web of Science ®Google Scholar
• Ma, W., and S. Ouyang. 2019. “Control Strategy for Inverters in Microgrid Based on Repetitive and State Feedback Control.” International Journal of Electrical Power & Energy Systems 111: 447–458. doi:10.1016/j.ijepes.2019.04.002.
   Web of Science ®Google Scholar
• Maafi, R. A., S. E. Haghighi, and M. J. Mahmoodabadi. 2022. “A Novel multi-objective Optimization Algorithm for Pareto Design of A Fuzzy Full State Feedback Linearization Controller Applied on A Ball and Wheel System.” Transactions of the Institute of Measurement and Control 44 (7): 1388–1409. doi:10.1177/01423312211056150.
   Web of Science ®Google Scholar
• Mahapatra, S., R. Daniel, D. Narayan Dey, and S. Kumar Nayak. 2015. “Induction Motor Control Using PSO-ANFIS.” Procedia Computer Science 48: 753–768. doi:10.1016/j.procs.2015.04.212.
   Google Scholar
• Mahmoodabadi, M.J., A. Bagheri, N. Nariman-zadeh, A. Jamali, and R. Abedzadeh Maafi. 2012. “Pareto Design of Decoupled sliding-mode Controllers for Nonlinear Systems Based on a Multiobjective Genetic Algorithm.” Journal of Applied Mathematics 2012: 1–22. doi:10.1155/2012/639014.
   Web of Science ®Google Scholar
• Mahmoodabadi, M. J., M. Taherkhorsandi, and A. Bagheri. 2014. “Optimal Robust Sliding Mode Tracking Control of a Biped Robot Based on Ingenious multi-objective PSO.” Neurocomputing 124: 194–209. doi:10.1016/j.neucom.2013.07.009.
   Web of Science ®Google Scholar
• Mahmoodabadi, M. J., and A. Ziaei. 2019. “Inverse Dynamics Based Optimal Fuzzy Controller for a Robot Manipulator via Particle Swarm Optimization.” Journal of Robotics 2019: 1–10. doi:10.1155/2019/5052185.
   Web of Science ®Google Scholar
• Mahmoodabadi, M.J., and N. Nejadkourki. 2020. “Optimal Fuzzy Adaptive Robust PID Control for an Active Suspension System.” Australian Journal of Mechanical Engineering 1–11. doi:10.1080/14484846.2020.1734154.
   Web of Science ®Google Scholar
• Muramatsu, H., and S. Katsura. 2019. “Separated periodic/aperiodic State Feedback Control Using periodic/aperiodic Separation Filter Based on Lifting.” Automatica 101: 458–466. doi:10.1016/j.automatica.2018.12.023.
   Web of Science ®Google Scholar
• Nejadkourki, N., and M. J. Mahmoodabadi. 2019. “Fuzzy Adaptive state-feedback Control for a revolute-prismatic-revolute Robot Manipulator.” Cogent Engineering 6 (1): 1698690. doi:10.1080/23311916.2019.1698690.
   Web of Science ®Google Scholar
• Niu, B., P. Zhao, J. D. Liu, H. J. Ma, and Y. J. Liu. 2020. “Global Adaptive Control of Switched Uncertain Nonlinear Systems: An Improved MDADT Method.” Automatica 115: 108872. doi:10.1016/j.automatica.2020.108872.
   Web of Science ®Google Scholar
• Ole, H. H., and M. Aamo. 2020. “Adaptive set-point Regulation of Linear N+1 Hyperbolic Systems with Uncertain Affine Boundary Condition Using Collocated Sensing and Control.” Systems & Control Letters 145: 104777. doi:10.1016/j.sysconle.2020.104777.
   Web of Science ®Google Scholar
• Soares, R. W., L. R. Barroso, and O. A. S. Al-Fahdawi. 2020. “Response Attenuation of cable-stayed Bridge Subjected to Central US Earthquakes Using neuro-fuzzy and Simple Adaptive Control.” Engineering Structures 20315: 109874. doi:10.1016/j.engstruct.2019.109874.
   Google Scholar
• Spong, M. W., S. Hutchinsom, and M. Vidyasagar. 2005. Robot Modeling and Control, First Edition. New York: John Wiley and Sons.
   Google Scholar
• Strah, B., and S. Rinderknecht. 2013. “Autonomous Stair Climbing of a Wheeled Double Inverted Pendulum.” IFAC Proceedings Volumes 46 (5): 670–677. doi:10.3182/20130410-3-CN-2034.00024.
   Google Scholar
• Sun, Z., N. Wang, and Y. Bi. 2015. “Type-1/type-2 Fuzzy Logic Systems Optimization with RNA Genetic Algorithm for Double Inverted Pendulum.” Applied Mathematical Modelling 39 (1): 70–85. doi:10.1016/j.apm.2014.04.035.
   Web of Science ®Google Scholar
• Vaswani, P.D., P.K. Tamboli, S. Datta, and D. Chakraborty. 2022. “Optimised Structured State Feedback Controller for Zone Power and Bulk Power Control of PHWRs.” Annals of Nuclear Energy 167: 108835. doi:10.1016/j.anucene.2021.108835.
   Web of Science ®Google Scholar
• Wang, M., H. Dong, X. Li, Y. Zhang, and J. Yu. 2019. “Control and Optimization of a Bionic Robotic Fish through a Combination of CPG Model and PSO.” Neurocomputing 337: 144–152. doi:10.1016/j.neucom.2019.01.062.
   Web of Science ®Google Scholar
• Wang, B., X. Yu, L. Mu, and Y. Zhang. 2020. “A Dual Adaptive fault-tolerant Control for A Quadrotor Helicopter against Actuator Faults and Model Uncertainties without Overestimation.” Aerospace Science and Technology 99: 105744. doi:10.1016/j.ast.2020.105744.
   Web of Science ®Google Scholar
• Wang, C., C. Wen, and L. Guo. 2020. “Multivariable Adaptive Control with Unknown Signs of the high-frequency Gain Matrix Using Novel Nussbaum Functions.” Automatica 111: 108618. doi:10.1016/j.automatica.2019.108618.
   Web of Science ®Google Scholar
• Wasilewski, M., D. Pisarski, and C.I. Bajer. 2019. “Adaptive Optimal Control for Seismically Excited Structures.” Automation in Construction 106: 102885. doi:10.1016/j.autcon.2019.102885.
   Web of Science ®Google Scholar
• Xu, J., C. Guo, and H. Zhang. 2018. “Joint Channel Allocation and Power Control Based on PSO for Cellular Networks with D2D Communications.” Computer Networks 133: 104–119. doi:10.1016/j.comnet.2018.01.017.
   Web of Science ®Google Scholar
• Zaka Ullah, M., F. Mallawi, D. Baleanu, and A. Saleh Alshomrani. 2020. “A New Fractional Study on the Chaotic Vibration and state-feedback Control of A Nonlinear Suspension System, Chaos.” Solitons & Fractals 132: 109530. doi:10.1016/j.chaos.2019.109530.
   Web of Science ®Google Scholar
• Zhao, L., H. Cheng, J. Zhang, and Y. Xia. 2021. “Adaptive Control for a Motion Mechanism with Pneumatic Artificial Muscles Subject to dead-zones.” Mechanical Systems and Signal Processing 148: 107155. doi:10.1016/j.ymssp.2020.107155.
   Web of Science ®Google Scholar
• Zhen, Z., G. Tao, Y. Xu, and G. Song. 2019. “Multivariable Adaptive Control Based Consensus Flight Control System for UAVs Formation.” Aerospace Science and Technology 93O: 105336. doi:10.1016/j.ast.2019.105336.
   Google Scholar
• Zhou, M., H. Jing, J. Yang, S. Yao, and L. He. 2018. “An Extended Adaptive Control System for EDM.” Procedia CIRP 68: 672–677. doi:10.1016/j.procir.2017.12.152.
   Google Scholar