Title : 
Synchronizing N cart-pendulums using virtual holonomic constraints
         
        
            Author : 
Jankuloski, D. ; Maggiore, Manfredi ; Consolini, Luca
         
        
            Author_Institution : 
Dept. of Electr. & Comput. Eng., Univ. of Toronto, Toronto, ON, Canada
         
        
        
        
        
        
            Abstract : 
A solution is presented to the problem of synchronizing a chain of N cart-pendulums using virtual holonomic constraints. The approach is based on a master-slave configuration whereby the first cart-pendulum is controlled so as to stabilize a desired oscillation around its unstable equilibrium. Then, each remaining cart-pendulum is controlled so as to fully synchronize it to the previous pendulum.
         
        
            Keywords : 
nonlinear control systems; pendulums; stability; synchronisation; N cart-pendulum synchronization; first cart-pendulum; master-slave configuration; oscillation stability; virtual holonomic constraints; Dynamics; Energy states; Level set; Manifolds; Oscillators; Synchronization; Vectors;
         
        
        
        
            Conference_Titel : 
American Control Conference (ACC), 2012
         
        
            Conference_Location : 
Montreal, QC
         
        
        
            Print_ISBN : 
978-1-4577-1095-7
         
        
            Electronic_ISBN : 
0743-1619
         
        
        
            DOI : 
10.1109/ACC.2012.6314739