Title : 
Control of a nonaffine double-pendulum system via dynamic inversion and time-scale separation
         
        
            Author : 
Young, Amanda ; Cao, Chengyu ; Hovakimyan, Naira ; Lavretsky, Eugene
         
        
            Author_Institution : 
Virginia Polytech. Inst. & State Univ., Blacksburg, VA
         
        
        
        
            Abstract : 
A new method is presented for control of nonaffine double pendulum system via dynamic inversion and time-scale separation. The control signal is defined as a solution of "fast" dynamics, and the coupled system is shown to be stable using the framework of Tikhonov\´s theorem from singular perturbations theory. Simulations illustrate the theoretical results
         
        
            Keywords : 
nonlinear control systems; pendulums; singularly perturbed systems; Tikhonov theorem; coupled system; dynamic inversion; fast dynamics; nonaffine double pendulum system; pendulum control signal; singular perturbations theory; time-scale separation; Backstepping; Control systems; Cranes; Equations; Genetic algorithms; Joining processes; Linear feedback control systems; Nonlinear control systems; Nonlinear dynamical systems; Torque control;
         
        
        
        
            Conference_Titel : 
American Control Conference, 2006
         
        
            Conference_Location : 
Minneapolis, MN
         
        
            Print_ISBN : 
1-4244-0209-3
         
        
            Electronic_ISBN : 
1-4244-0209-3
         
        
        
            DOI : 
10.1109/ACC.2006.1656484