On the Accuracy of End-Point Trajectory Tracking for Flexible Arms by Noncausal Inverse Dynamic Solutions

1991 ◽  
Vol 113 (2) ◽  
pp. 320-324 ◽  
Author(s):  
H. Moulin ◽  
E. Bayo

The problem of open-loop control of the end-point trajectory of a single-link flexible arm by an inverse dynamic solution is addressed in this paper. A finite element discretization of the system is used to obtain a set of ordinary differential equations describing the motion. Theoretical difficulties pertaining to the inverse problem for flexible structures are exposed, and it is shown that a noncausal solution for the actuating torque enables a tracking of an arbitrary tip displacement with any desired accuracy.

1981 ◽  
Vol 48 (3) ◽  
pp. 619-626 ◽  
Author(s):  
S. F. Masri ◽  
G. A. Bekey ◽  
T. K. Caughey

A simple yet efficient active control method is presented for reducing the oscillations of distributed parameter systems subjected to arbitrary dynamic environments. Following determination that some specified response threshold has been exceeded, an open-loop control pulse is applied. The optimum pulse characteristics are determined analytically so as to minimize a non-negative cost function related to the structure energy. The proposed control method is shown to be reliable in consistently mitigating the response of realistic multidegree-of-freedom systems, whether linear or nonlinear, subject to arbitrary stochastic or deterministic excitation.


1998 ◽  
Author(s):  
C. Truman ◽  
Lenore McMackin ◽  
Robert Pierson ◽  
Kenneth Bishop ◽  
Ellen Chen

2008 ◽  
Author(s):  
Thomas Bifano ◽  
Jason Stewart ◽  
Alioune Diouf

2011 ◽  
Vol 418-420 ◽  
pp. 1865-1868
Author(s):  
Ming Jin Yang ◽  
Xi Wen Li ◽  
Zhi Gang Wang ◽  
Tie Lin Shi

The performance of speed regulating is very important to the mixing process with safe, efficient operation and high quality of production. Strategies and practices of responses and optimization of a PID-based speed regulating system of a planetary mixer were presented in this paper. Research results show that: by means of the signal constraint function presented by Simulink Response Optimization, optimization PID parameters of the 2-DOF-PID controller can be obtained, and the response of close-loop control system has quite good performance of overshoot, response time, and stability compared with an open-loop control system.


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