Title : 
Passivity indices and passivation of systems with application to systems with input/output delay
         
        
            Author : 
Xia, M. ; Antsaklis, P.J. ; Gupta, V.
         
        
            Author_Institution : 
Dept. of Electr. Eng., Univ. of Notre Dame, Notre Dame, IN, USA
         
        
        
        
        
        
            Abstract : 
A passivation method to passivate a given system by using an input-output transformation matrix is introduced. This matrix generalizes the commonly used methods of series, feedback and feedforward interconnections to passivate a system. Through an appropriate design of this matrix, positive passivity levels can be guaranteed for the system. Further, this transformation matrix allows the use of a non-passive system as a controller to guarantee the passivity and stability of a feedback configuration. We illustrate the results by considering systems with input/output delay.
         
        
            Keywords : 
control system synthesis; delays; feedback; feedforward; interconnected systems; matrix algebra; stability; feedback interconnections; feedforward interconnections; input-output delay; input-output transformation matrix; nonpassive system; passivation method; passivity indices; positive passivity levels; series interconnections; stability; Approximation methods; Delays; Feedforward neural networks; Indexes; Linear systems; Passivation; Transfer functions;
         
        
        
        
            Conference_Titel : 
Decision and Control (CDC), 2014 IEEE 53rd Annual Conference on
         
        
            Conference_Location : 
Los Angeles, CA
         
        
            Print_ISBN : 
978-1-4799-7746-8
         
        
        
            DOI : 
10.1109/CDC.2014.7039477