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.
To avoid the chattering disadvantage of sliding-mode control (SMC), in this paper, a quasi-sliding mode controller is proposed for real-time fine control of a nonholonomic mobile robot. First, the dynamics of mobile robot is analyzed by Lagrangian formula. Then, the quasi-sliding mode controller is used to generate the control torque that drives the mobile robot, such that the linear and angular velocities of the mobile robot follow the desired velocities. At last, computer simulation results confirm the effectives of SMC.
In this paper, a novel continuum robot for search and rescue is presented. A detailed formulation of fundamentally new kinematic model is then introduced. Kinematic analysis adopt product of exponentials formula, compare with conventional D-H method, this method is concise and simplicity. Finally, the forward kinematic simulation is completed by Matlab software.
When global positioning system (GPS) signal outages, the integrated navigation accuracy of GPS and strap-down inertial navigation system (SINS) will decline with time, and even navigation system cannot work. To avoid this, a new design is introduced. When GPS works normally, square root filter estimates the errors of position, velocity and attitude and compensates the outputs of SINS. When GPS is out of order, back propagation neural network (BPNN) will take the place of GPS to calculate the error parameters, thus the accuracy of navigation will enhance. And in this paper, the unit of fault detection is added to detect whether GPS signal outages or not. The simulation results show the effectiveness of this method
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
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