Papers by Keyword: Single Inverted Pendulum

Abstract: In the paper the mathematical model of the single inverted pendulum is established, on the base of the root locus and the control tasks the control system is made up of double closed-loop unit gain negative feedback and BP neural network controller. The results show that the inverted pendulum is efficiently controlled.

Abstract: Aiming to the multi-variable, non-linear, high-order, close coupled, inverted pendulum system, a mathematical model of the inverted pendulum was established. The LQR controller was put forwards according to this model. In the LQR controller, the selection of the weight matrix Q and R directly impact on structural dynamic response and controlling force. How to determine the optimal Q and R to obtain the global optimal control is still a problem. The matrix Q and R were optimized based on genetic algorithm with different objective functions and the results were verified here. The simulation results show that the optimal preference weighting coefficient were obtained by genetic algorithm and the satisfactory factors can be selected by the designer according to the preference, while the subjectivity and blindness of the conventional method have been overcame.

Abstract: Inverted pendulum system is a nonlinear, coupling, multi-variable and unstable system. In this paper, Linear Quadratic Regulator (LQR) is used to achieve optimal control of single inverted pendulum. First, the state-space model of the system is created. Then state feedback gain is calculated by selecting suitable weight coefficient matrix. Because the inverted pendulum system exists all kinds of disturbs inevitably, the states have errors and the accuracy of control drops. So square root filter is used to estimate states on line before LQR. The simulation results show control effect has obvious improvement because of adopting square root filter.

Abstract: Inverted pendulum system is a nonlinear, coupling, multi-variable and unstable system. Because the inverted pendulum system exists all kinds of disturbs inevitably, the states have errors and the accuracy of control drops. In this paper, quasi-sliding mode control is used to achieve optimal control. First, the state-space model of the system is created by force analysis. Then, in the design of the controller, we make use of the sliding mode control, which has the advantage of anti-interference. To reduce the chattering phenomenon, we utilize saturation function in the reaching low design. The simulation results show the effective of the method