Authors: Dai Kinoshita, Shigeki Nakayama, Itaru Matsumoto
Abstract: The inverted pendulum is one of the most common experimental devices used to illustrate nonlinear control techniques, and various studies have been conducted on its swing-up and stabilization control from different perspectives. In real-world inverted pendulums, there are limitations on the displacement and velocity of the fulcrum, making it crucial to consider these constraints in control strategies.In this study, we propose a new swing-up and stabilization control method for the inverted pendulum that allows independent setting of the displacement and velocity limits of the fulcrum. The effectiveness of this method is verified through simulations and experimental tests.
63
Authors: Yang Hua, Zi Jian Yang
Abstract: Inverted pendulum control system is a complex, nonlinear, unstable system. This design on the basis of studying the law of motion of the inverted pendulum, build its trajectory mathematical model, using MATLAB simulation analysis, after understanding of inverted pendulum model, use k60 micro controller combined with PID algorithm gives the signal driven dc gear motor, and then to control the inverted pendulum system, used in the process of standing on your head swinging rod Angle encoder acquisition, processing, the Angle of swinging rod feedback on point of view, the direction of the angular velocity, the motor running direction, adjusting handstand pendulum rod by using PD algorithm, PI parameters to adjust motor speed, by double circuit PD/PI control scheme realizes the rotating arm swinging rod Angle and position closed loop control at the same time.
445
Authors: Muhammed Arif Sen, Mete Kalyoncu
Abstract: The inverted pendulum system is a challenging control problem in the control theory, which continually moves away from a stable state. The paper presents the design of a Proportional-Integral-Derivative (PID) controller for a single-input multi-output (SIMO) inverted pendulum system and using the Bees Algorithm (BA) to obtain optimal gains for PID controllers. The Bees Algorithm optimizes the gains so that the controller can move the cart to a desired position with the minimum amount of the change in the pendulum’s angle from the vertically upright position during the movement. The tuning aim is to minimize the control responses of the cart’s position and the pendulum’s angle in time domain. MATLAB/Simulink simulation has been performed to demonstrate that the effects on the system performance of PID controllers with optimal gains. The obtained results show that the tuning method by using the Bees Algorithm produced PID controllers successfully within the controller design criteria. Following a description of the inverted pendulum system and the Bees Algorithm, the paper gives the obtained simulation results for the system demonstrating the efficiency of the design.
1039
Authors: Jin Ho Yoon, Ah Do Ko, Kil Hwan Choi, Hyoung Bae Park, Myung Jin Chung
Abstract: In this paper, attitude control method based on mathematical model for inverted pendulum type mobile robot was proposed. After the inverted pendulum type mobile robot platform was designed, a mathematical modeling was performed. Also, the motor parameters and the mechanism parameters were estimated, and then the estimated parameters were substituted into the mathematical model to obtain the state-space model of mobile robot platform. Using this, a PID controller was designed, and simulations were performed. Also, the experiments were performed after applying it to the mobile robot platform. The simulation and experimental results were obtained similarly, and attitude control performance was excellent.
700
Authors: Li Li Wan, Juan Lei, Hong Xia Wu
Abstract: For the instability of the inverted pendulum, a LQR controller is designed based on optimal control algorithm in this paper, which can control the pendulum angle and the cart position at the same time. The basic principle of LQR optimal control is analyzed and the LQR controller is designed and simulated in this paper. The simulation results show that the designed controller is effective. It has a good effect of equilibrium and stability control, and the system's anti-interference ability is improved.
221
Authors: Li Qian Wang, Kai Hu
Abstract: In this paper we study the control system of single stage rotary inverted pendulum, and put forwards the controller design based on the core of STM32. In control strategy we use the classical control theory-PID control algorithm, which realizes the closed-loop control of rotating arm and swing rod for the single stage rotary inverted pendulum. The final test results show that the control strategy is effective.
766
Authors: Yu Qiang Jin, Jun Wei Lei, Di Liu
Abstract: The dynamic model is obtained based on researching the structure of single inverted pendulum system in this paper. Mathematical model of inverted pendulum that is close to the working point is deduced by linearization. A PID control algorithm is put forward by analyzing the factor of influencing inverted pendulum stability. The effectiveness of proposed algorithm is verified by simulation. This algorithm has the features of high control precision and good stability.
142
Abstract: The inverted pendulum system is characterized as a typical nonlinear, fast multi-variable, essentially unstable system. It is difficult to control because of its instability .In order to improve balance control, the mathematical model of the single inverted pendulum is established, a LQR controller is designed which is based on improved artificial bee colony. Experiments show that the improved algorithm has better performance than standard artificial bee colony algorithm on convergence and rate balance control to meet the requirements of the single inverted pendulum.
1272
Authors: Shuo Mei Wu, Jian Wei Song, Wen Qing Zhang
Abstract: The state space expression can be deduced by establishing the mathematical model of inverted pendulum system. In this paper, linear quadratic regulator (LQR) is used to control the inverted pendulum system, providing better balance between system robustness stability and rapidity. The simulation structure shows that the better the system anti-interference capability is, the shorter its recovery time is. Good control effect can be achieved by applying linear quadratic optimal control in the control of double inverted pendulum balancing system.
1118
Abstract: The emotion mechanism being introduced to Human-Simulated Intelligent Control algorithm, a fresh Intelligent Control algorithm is proposed, to solve the parameters design and tuning difficulty of the original algorithm. The verification of proposed control algorithm is completed on the car-inverted pendulum simulation platform. After the simulation results of the original and its improved algorithm is compared with, the new control algorithm can be found to obtain better control results with less design parameters. Thus, the suggested idea confirms its feasibility and effectiveness preliminarily.
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