Title : 
H∞ control in a behavioral context
         
        
            Author : 
Trentelman, Harry L. ; Willems, Jan C.
         
        
            Author_Institution : 
Inst. of Math., Groningen Univ., Netherlands
         
        
        
        
        
            Abstract : 
Recently, it has been argued that in many cases it is more natural to view the problem of controller design as the problem of designing for a given system an additional set of `laws´ that the the signals appearing in the system should obey. More specifically, if a system is given in terms of a certain set of `behavioral equations´, then the problem of controller design is to invent an additional set of equations, involving the signals appearing in the system, in such a way that the `controlled system´ satisfies the a priori given control specifications. In this paper, we attempt to reformulate and study the H ∞ control problem in the behavioral framework, i.e., in the framework one gets by taking the alternative point of view to controller design
         
        
            Keywords : 
H∞ control; control system synthesis; differential equations; feedback; linear systems; polynomial matrices; stability; H∞ control; behavioral equations; control specifications; controller design; differential equations; feedback; image representation; linear systems; polynomial matrix; stability; time invariant differential dynamical systems; Control systems; Equations; Image representation; Observability; Polynomials;
         
        
        
        
            Conference_Titel : 
Decision and Control, 1994., Proceedings of the 33rd IEEE Conference on
         
        
            Conference_Location : 
Lake Buena Vista, FL
         
        
            Print_ISBN : 
0-7803-1968-0
         
        
        
            DOI : 
10.1109/CDC.1994.411730