Stabilization of the cart-inverted-pendulum system using trivial state-feedback to output-feedback control conversion

References

• Boubaker O. The inverted pendulum benchmark in nonlinear control theory: a survey. Int J Adv Rob Syst. 2013;10:1–9.
   Web of Science ®Google Scholar
• Chatterjee S, Das SK. An analytical formula for optimal tuning of the state feedback controller gains for the cart-inverted pendulum system. IFAC-PapersOnLine. 2018;51(1):668–672.
   Google Scholar
• Messikh L, Guechi EH, Benloucif ML. Critically damped stabilization of inverted-pendulum systems using continuous-time cascade linear model predictive control. J Franklin Inst. 2017;354(16):7241–7265.
   Web of Science ®Google Scholar
• Shehu M, Ahmad MR, Shehu A, et al. LQR, double-PID, and pole placement stabilization and tracking control of single link inverted pendulum. In 2015 IEEE International Conference on Control System, Computing and Engineering (ICCSCE) (pp. 218-223). IEEE; 2015, November.
   Google Scholar
• Prasad LB, Tyagi B, Gupta HO. Optimal control of nonlinear inverted pendulum system using PID controller and LQR: performance analysis without and with disturbance input. Int J Autom Comput. 2014;11(6):661–670.
   Google Scholar
• Kuczmann M. Comprehensive survey of PID controller design for the inverted pendulum. Acta Technica Jaurinensis. 2019;12:55–81.
   Google Scholar
• Önen Ü, Cakan A, Ilhan I. Performance comparison of optimization algorithms in LQR controller design for a nonlinear system. Turkish J Electr Eng Comput Sci. 2019;27(3):1938–1953.
   Web of Science ®Google Scholar
• Saleem O, Rizwan M, Mahmood-ul-Hasan K. Self-tuning state-feedback control of a rotary pendulum system using adjustable degree-of-stability design. Automatika. 2021;62(1):84–97.
   Web of Science ®Google Scholar
• Krishnan TR. On stabilization of cart-inverted pendulum system: An experimental study. Master thesis, Department of electrical engineering, National Institute of technology, India; 2012.
   Google Scholar
• Lee J, Mukherjee R, Khalil HK. Output feedback stabilization of inverted pendulum on a cart in the presence of uncertainties. Automatica (Oxf). 2015;54:146–157.
   Web of Science ®Google Scholar
• Poloni T, Kolmanovsky I, Rohal’-Ilkiv B. Simple input disturbance observer-based control: case studies. J Dyn Syst Meas Contr. 2018;140:146–157.
   Web of Science ®Google Scholar
• Katariya AS. (2010). Optimal state-feedback and output-feedback controllers for the wheeled inverted pendulum system. Thesis, School of electrical and computer engineering, Georgia institute of technology.
   Google Scholar
• Ovalle L, Ríos H, Llama M. Robust output-feedback control for the cart-pole system: a coupled super-twisting sliding-mode approach. IET Control Theory Applic. 2019;13(2):269–278.
   Web of Science ®Google Scholar
• Aguilar-Ibáñez C, Suarez-Castanon MS, Cruz-Cortés N. Output feedback stabilization of the inverted pendulum system: a Lyapunov approach. Nonlinear Dyn. 2012;70:767–777.
   Web of Science ®Google Scholar
• Isidori A, Byrnes CI. Output regulation of nonlinear systems. IEEE Trans Autom Control. 1990;35:131–140.
   Web of Science ®Google Scholar
• Huang J, Chen Z. A general framework for tackling the output regulation problem. IEEE Trans Autom Control. 2004;49:2203–2218.
   Web of Science ®Google Scholar
• Huang J. Nonlinear Output Regulation: Theory and Applications. Philadelphia: SIAM; 2004.
   Google Scholar
• Huang J. Asymptotic tracking of a nonminimum phase nonlinear system with nonhyperbolic zero dynamics. IEEE Trans Autom Control. 2000;45:542–546.
   Web of Science ®Google Scholar
• Tzyh-Jong T, Sanposh P, Daizhan C, et al. Output regulation for nonlinear systems: some recent theoretical and experimental results. control systems technology. IEEE Trans. 2005;13:605–610.
   Google Scholar
• Postelnik L, Liu G, Stol K, et al. Approximate Output Regulation for a Spherical Inverted Pendulum, 2011 American Control Conference on O'Farrell Street, San Francisco, CA, USA June 29 - July 01; 2011.
   Google Scholar
• Adhikary N, Mahanta C. Integral backstepping sliding mode control for underactuated system: swing-up and stabilization of the cart-pendulum system. ISA Trans 213. 2013;52(6):870–880.
   PubMed Web of Science ®Google Scholar
• Coban R. Backstepping integral sliding mode control of an electromechanical system. Automatika. 2017;58(3):266–272.
   Web of Science ®Google Scholar
• Díaz-Rodríguez ID, Han S, Bhattacharyya SP. Analytical design of PID controllers. Cham, Switzerland: Springer International Publishing; 2019.
   Google Scholar
• Zak SH. System and control. Oxford: Oxford university press; 2003.
   Google Scholar