Mechanical Control Systems

Author(s):  
Christian Brecher ◽  
Manfred Weck
2021 ◽  
Vol 11 (22) ◽  
pp. 10669
Author(s):  
Marcin Nowicki ◽  
Witold Respondek

We give a classification of linear nondissipative mechanical control system under mechanical change of coordinates and feedback. First, we consider a controllable case that is somehow a mechanical counterpart of Brunovský classification, then we extend the result to all linear nondissipative mechanical systems (not necessarily controllable) which leads to a mechanical canonical decomposition. The classification of Lagrangian systems is given afterwards. Next, we show an application of the classification results to the stability and stabilization problem and illustrate them with several examples. All presented results in this paper are expressed in terms of objects on the configuration space Rn only, while the state-space of a mechanical control system is Rn×Rn consisting of configurations and velocities.


2008 ◽  
Vol 53 (5) ◽  
pp. 1297-1302 ◽  
Author(s):  
Miguel C. MuÑoz Lecanda ◽  
F. Javier YÁniz Fernandez

2008 ◽  
Vol 18 (12) ◽  
pp. 3703-3718 ◽  
Author(s):  
LUIGI FORTUNA ◽  
MATTIA FRASCA ◽  
CRISTOFORO CAMERANO

In this communication the emergent behavior of clusters of robots with chaotic kinematics attractors is shown. Even if the aim of the research started from the study of the cooperative behavior of inspection robots, the reported results (including also the role of chaotic synchronization in the generation of the kinematics trajectory), show new aesthetic features of the motion in mechanical control systems.


2002 ◽  
Vol 41 (3) ◽  
pp. 851-874 ◽  
Author(s):  
J. Cortés ◽  
S. Martínez ◽  
J. P. Ostrowski ◽  
H. Zhang

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