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Estimation of Velocity and Acceleration by Nonlinear Filter using Sliding Mode and Application to Control Systems
Takanori Emaru, Kazuo Imagawa, Yohei Hoshino and Yukinori Kobayashi
Transactions of the Japan Society of Mechanical Engineers, Series C, vol.75Cno.757 (2009).



  Abstract
PID controlers are generally used to control mechanical systems. PID controlers, however, have a limit of robustness because of the influence of gravity, friction, and interaction of joints which cause modeling errors. A digital acceleration control has robustness for the modeling error. Therefore, the digital acceleration control is more effective than PID control. But it requires position, velocity, and acceleration of a controlled object to construct the controller. Information of velocity and acceleration cannot be always obtained in mechanical systems. Furthermore, it is desirable that the number of sensors is reduced for the purpose of cost and maintenance. To solve this problem, the system that Estimates the Smoothed and Differential value by using Sliding mode (ESDS) is employed. The ESDS enables digital acceleration control without increasing the number of sensors. This paper shows the results of the proposed control method by using a horizontal planar 2-link manipulator.
 
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(c) Laboratory of Robotics and Dynamics, Hokkaido University