Title : 
Time-optimal arriving control of material point in multidimensional space
         
        
            Author : 
Meda-Campaña, A.J. ; Nosov, R.V. ; Gómez-Mancilla, C.J.
         
        
            Author_Institution : 
Dept. of Mech. Eng., SEPI-ESIME Zacatenco-IPN, Mexico City, Mexico
         
        
        
        
        
        
            Abstract : 
In this paper, the problem of taking a material point from arbitrary initial conditions to the origin, in the minimum possible time, is addressed. It is considered that the motion of the material point is defined on a multidimensional region. Under this assumption, it is shown that for controllable systems there exists an infinity of time-optimal controls, which have sufficiently strange forms.
         
        
            Keywords : 
multidimensional systems; time optimal control; material point; multidimensional space; time-optimal arriving control; Control systems; Control theory; Controllability; Equations; H infinity control; Mechanical engineering; Motion analysis; Motion control; Multidimensional systems; Optimal control; Multidimensional systems; maximum principle; optimal control;
         
        
        
        
            Conference_Titel : 
Electrical Engineering, Computing Science and Automatic Control,CCE,2009 6th International Conference on
         
        
            Conference_Location : 
Toluca
         
        
            Print_ISBN : 
978-1-4244-4688-9
         
        
            Electronic_ISBN : 
978-1-4244-4689-6
         
        
        
            DOI : 
10.1109/ICEEE.2009.5393369