Improved method of step length estimation based on inverted pendulum model by Qi Zhao, Boxue Zhang, Jingjing Wang, Wenquan Feng, Wenyan Jia, Mingui Sun

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Stabilizing a Rotary Inverted Pendulum Based on Logarithmic Lyapunov Function by Jie Wen, Yuanhao Shi, Xiaonong Lu

“…The stabilization of a Rotary Inverted Pendulum based on Lyapunov stability theorem is investigated in this paper. …”
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Neural Network Supervision Control Strategy for Inverted Pendulum Tracking Control by Hongliang Gao, Xiaoling Li, Chao Gao, Jie Wu

“…The tracking control simulation of the inverted pendulum system under three different signals is given to illustrate the effectiveness of the proposed method.…”
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Implementation of a Controller to Eliminate the Limit Cycle in the Inverted Pendulum on a Cart by Mayra Antonio-Cruz, Victor Manuel Hernández-Guzmán, Ramón Silva-Ortigoza, Gilberto Silva-Ortigoza

“…Hence, the main aim of the present paper is to study the applicability of the control strategy to eliminate the limit cycle in the inverted pendulum on a cart. The successful results that are obtained in experiments corroborate that the approach introduced by the authors to eliminate the limit cycle in the Furuta pendulum and pendubot is also valid for the inverted pendulum on a cart.…”
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Fuzzy Sliding Mode Control with Moving Sliding Surface of Rotary Inverted Pendulum by Oğuz Yakut, Muhammet Aydın

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Stabilization and Tracking Control of Inverted Pendulum Using Fractional Order PID Controllers by Sunil Kumar Mishra, Dinesh Chandra

“…This work focuses on the use of fractional calculus to design robust fractional-order PID (PIλDμ) controller for stabilization and tracking control of inverted pendulum (IP) system. A particle swarm optimisation (PSO) based direct tuning technique is used to design two PIλDμ controllers for IP system without linearizing the actual nonlinear model. …”
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Optimal LQG controller design for inverted pendulum systems using a comprehensive approach by Monika Rani, Sushma S. Kamlu

Subjects: “…Inverted pendulum…”
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About Stabilization of the Controlled Inverted Pendulum Under Stochastic Perturbations of the Type of Poisson’s Jumps by Leonid Shaikhet

Subjects: “…controlled inverted pendulum…”
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Human Control Law and Brain Activity of Voluntary Motion by Utilizing a Balancing Task with an Inverted Pendulum by Satoshi Suzuki, Fumio Harashima, Katsuhisa Furuta

“…Using a force feedback haptic device and a balancing task of a virtual inverted pendulum, participants were trained in the task, and hand motion/force was measured, and brain activity was monitored. …”
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Optimal Control for a Family of Systems in Novel State Derivative Space Form with Experiment in a Double Inverted Pendulum System by Yuan-Wei Tseng, Jer-Guang Hsieh

“…The LQR design for a double inverted pendulum system is implemented to illustrate the use of our method.…”
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Funnel-Based Adaptive Neural Fault-Tolerant Control for Nonlinear Systems with Dead-Zone and Actuator Faults: Application to Rigid Robot Manipulator and Inverted Pendulum Systems by Ymnah Alruwaily, Mohamed Kharrat

“…Finally, simulations of a rigid robot manipulator system and an inverted pendulum system are conducted to validate the practicality and effectiveness of the proposed control method.…”
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Corrigendum to “Funnel-Based Adaptive Neural Fault-Tolerant Control for Nonlinear Systems with Dead-Zone and Actuator Faults: Application to Rigid Robot Manipulator and Inverted Pendulum Systems” by Ymnah Alruwaily, Mohamed Kharrat

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Adaptive Parameter Approaching Law-Based Sliding Mode Control for Wheeled Robots by Ming Hou, Limeng Jia, Zhengqin Wang

Subjects: “…Wheeled inverted pendulum robot…”
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Smooth and Energy Saving Gait Planning for Humanoid Robot Using Geodesics by Liandong Zhang, Changjiu Zhou

“…Both the linear inverted pendulum model and the exact Single Support Phase (SSP) are studied in our energy optimal gait planning based on geodesics. …”
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Event-Based Stabilization over Networks with Transmission Delays by Xiangyu Meng, Tongwen Chen

“…Finally, the proposed techniques are illustrated by an inverted pendulum system and a numerical example.…”
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On the Dynamics of the Furuta Pendulum by Benjamin Seth Cazzolato, Zebb Prime

“…The Furuta pendulum, or rotational inverted pendulum, is a system found in many control labs. …”
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Design and Assessment of a Multiple Sensor Fault Tolerant Robust Control System by S.S. Yang, J. Chen

“…A design example is illustrated with a fast, multivariable and unstable system, that is, the double inverted pendulum system. Results indicate the potential of this design framework to handle fast systems with multiple sensor faults.…”
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Controller Design of Multiinput Multioutput Time-Delay Large-Scale System by Chia-Wei Lin, Tzuu-Hseng S. Li, Chung-Cheng Chen

“…We have simulated the two-inverted-pendulum system coupled by a spring for networked control systems which has been used as a test bed for the study of decentralized control of large-scale systems.…”
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Proportional PDC Design-Based Robust Stabilization and Tracking Control Strategies for Uncertain and Disturbed T-S Model by Chekib Ghorbel, Amira Tiga, Naceur Benhadj Braiek

“…Finally, to illustrate the merit of our purpose, numerical simulation studies of stabilizing and tracking an inverted pendulum system are presented.…”
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STABILITY CONTROL MODELLING UNDER DYNAMIC MOTION SCENARIO OF A DIFFERENTIAL DRIVE ROBOT by ADEDOTUN O. OWOJORI, KAYODE F. AKINGBADE, WALIU O. APENA, ERASTUS O. OGUNTI

“…Basically, differential drive robotic system describes an unstable, nonlinear system related to an inverted pendulum. The research attempts to harness the parameters obtained from a computer-aided design tool (Solid works) to model the system for complete stability control and dynamic motion of the system within a planned trajectory. …”
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