scholarly journals Swing-Up Problem of an Inverted Pendulum – Energy Space Approach

2020 ◽  
Vol 22 (1) ◽  
pp. 33-40
Author(s):  
Marek Balcerzak

AbstractThis paper describes a novel, energy space based approach to the swing-up of an inverted pendulum. The details of the swing-up problem have been described. Equations of the velocity-controlled have been presented. Design of the controller based on energy space notion has been elaborated. The control algorithm takes into account state constraints and control signal constraints. Parameters of the controller have been optimized by means of the Differential Evolution method. A numerical simulation of the inverted pendulum driven by the proposed controller has been conducted, its results have been presented and elaborated. The paper confirms that the proposed method results in a simple and effective swing-up algorithm for a velocity-controlled inverted pendulum with state constraints and control signal constraints.

Processes ◽  
2021 ◽  
Vol 9 (2) ◽  
pp. 282
Author(s):  
Jarosław Knaga ◽  
Stanisław Lis ◽  
Sławomir Kurpaska ◽  
Piotr Łyszczarz ◽  
Marcin Tomasik

In this work, the possibility of limiting energy consumption in the manufacturing process of bioethanol to obtain biofuel was analysed. For this purpose, a control algorithm has been optimised while retaining the good quality of the control signals. New in this study is the correlation of the control algorithm not only with the signal’s quality, but also with the energy consumption in such an energy-intensive process as rectification. The rectification process in a periodic production system has been researched. The process was modelled on a test station with the distillation mixture capacity of 25 dm3. For the optimization, the following control algorithms have been applied: relay, PID and PID after modification to I-PD. The simulation was carried out on a transfer function model of the plant that has been verified on a real object, a rectification column. The simulations of energy consumption and control signal’s quality have been carried out in the Matlab®-Simulink environment after implementing the model of the research subject and control algorithms. In the simulation process, an interference signal with an amplitude of 3% and frequency of 2 mHz was used. The executed analyses of the control signal quality and the influence of the control algorithm on the energy consumption has shown some essential mutual relationships. The lowest energy consumption in the rectification process can be achieved using the I-PD controller—however, the signal quality deteriorates. The energy savings are slightly lower while using the PID controller, but the control signal quality improves significantly. From a practical point of view, in the considered problem the best control solution is the classic PID controller—the obtained energy effect was only slightly lower while retaining the good quality of the control signals.


2010 ◽  
Vol 163-167 ◽  
pp. 2625-2631
Author(s):  
Yu Qiang Zhang ◽  
Xiu Hua Tang ◽  
Dong Hua Chen ◽  
Bo Hai Ji

Based on the integral synchronous lifting project of main span for Nanlin Bridge, this paper mainly studies the causes which lead to difference of non-uniform displacement in the key parts of the lifting bridge and its impact to construction safety and calculates the maximum limit value of displacement difference. A displacement sensor network is applied to monitor the difference of non-uniform displacement, a posture adjustment and control algorithm based on average displacement is proposed to ensure construction safety during the synchronous lifting. The numerical simulation of synchronous lifting of Nanlin Bridge is conducted to verify the validity of posture adjustment and control algorithm, this paper provides important theoretical basis for the promotion and application of these results in practical projects.


2014 ◽  
Vol 684 ◽  
pp. 381-385
Author(s):  
Jia Liu

In this paper, control system of rotary inverted pendulum based on ARM is designed, which is composed by mechanical section and control section. The system measures signal for variation of angle of radial arm and pendulum rod and transmits such signal to ARM control panel, after which control rate can be calculated through PID control algorithm. Inversion of pendulum rod can be controlled through rotation of the radial arm on a plane driven by an electric motor, and the pendulum rod can rotate on a vertical plane. Finally, MATLAB is used to conduct simulation for three parameters including proportionality coefficient (KP), integral coefficient (KI) and differential coefficient (KD), based on which ideal parameters are determined, stable control of pendulum rod inversion near equilibrium point is realized, and feasibility of control algorithm is verified.


2019 ◽  
Vol 9 (20) ◽  
pp. 4443 ◽  
Author(s):  
Seongkyu Chang ◽  
Deokyong Sung

This study presents a neuro-control algorithm based on structural modal energy that outputs an optimal control signal to reduce vibration during earthquakes. The modal energy of a structure is used in the objective function during the training process of a neural network. The modal energy and control signal are then minimized by the proposed neuro-control technique. A three-story nonlinear building was installed with an active mass damper, which was used to verify the applicability of the proposed control algorithm. The El Centro earthquake was adopted to train the modal-energy-based neuro-controller. The six recorded earthquakes were employed to consider unknown earthquake effects after training. The results obtained from the proposed control algorithm were compared with those obtained from a non-controlled response and a multilayer perceptron. The numerical results show that the proposed control algorithm is quite effective in reducing the structural response and modal energy. While nonlinear hysteretic behaviors appear in the non-controlled responses, these nonlinear behaviors almost entirely disappear with control.


2020 ◽  
Vol 12 (1) ◽  
pp. 703-717
Author(s):  
Yin Wei ◽  
Wang Jiaqi ◽  
Bai Xiaomin ◽  
Sun Wenjie ◽  
Zhou Zheyuan

AbstractThis article analyzes the technical difficulties in full-section backfill mining and briefly introduces the technical principle and advantages of backfilling combined with caving fully mechanized mining (BCCFM). To reveal the strata behavior law of the BCCFM workface, this work establishes a three-dimensional numerical model and designs a simulation method by dynamically updating the modulus parameter of the filling body. By the analysis of numerical simulation, the following conclusions about strata behavior of the BCCFM workface were drawn. (1) The strata behavior of the BCCFM workface shows significant nonsymmetrical characteristics, and the pressure in the caving section is higher than that in the backfilling section. φ has the greatest influence on the backfilling section and the least influence on the caving section. C has a significant influence on the range of abutment pressure in the backfilling section. (2) There exits the transition area with strong mine pressure of the BCCFM workface. φ and C have significant effect on the degree of pressure concentration but little effect on the influence range of strong mine pressure in the transition area. (3) Under different conditions, the influence range of strong mine pressure is all less than 6 m. This article puts forward a control strategy of mine pressure in the transition area, which is appropriately improving the strength of the transition hydraulic support within the influence range (6 m) in the transition area according to the pressure concentration coefficient. The field measurement value of Ji15-31010 workface was consistent with numerical simulation, which verifies the reliability of control strategy of the BCCFM workface.


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