Title : 
A stability result for distributed control of the beam
         
        
            Author : 
Ishihara, A.K. ; Nhan Nguyen ; Balas, Mark
         
        
            Author_Institution : 
Carnegie Mellon Univ. Silicon Valley, Moffett Field, CA, USA
         
        
        
        
        
        
            Abstract : 
In this note we consider the closed loop control of the elastic beam where the control objective is to track a desired beam shape. A Lyapunov approach is utilized and a stability in measure theorem termed d2/d1 stability is proved. Numerical simulation is provided and an extension to adaptive control where beam parameters are not known is discussed.
         
        
            Keywords : 
Lyapunov methods; adaptive control; beams (structures); distributed control; elasticity; numerical analysis; stability; structural engineering; Lyapunov approach; adaptive control; beam parameter; beam shape; control objective; distributed control; elastic beam; numerical simulation; stability result; stability-in-measure theorem; Extraterrestrial measurements; Lyapunov methods; Numerical stability; Shape; Stability analysis; Trajectory;
         
        
        
        
            Conference_Titel : 
American Control Conference (ACC), 2013
         
        
            Conference_Location : 
Washington, DC
         
        
        
            Print_ISBN : 
978-1-4799-0177-7
         
        
        
            DOI : 
10.1109/ACC.2013.6580342