Title : 
Self-Bounded Subspaces for Nonstrictly Proper Systems and Their Application to the Disturbance Decoupling With Direct Feedthrough Matrices
         
        
            Author : 
Ntogramatzidis, Lorenzo
         
        
            Author_Institution : 
Dept. of Electr. & Electron. Eng., Univ. of Melbourne, Melbourne, VIC
         
        
        
        
        
        
        
            Abstract : 
 In this paper, the concept of self-bounded controlled invariance is extended to nonstrictly proper systems. Moreover, its use in connection with the disturbance decoupling problem with internal stability is investigated in the case where the feedthrough matrices from the control input and from the disturbance to the output to be decoupled are possibly nonzero.  
         
        
            Keywords : 
invariance; matrix algebra; stability; direct feedthrough matrix; disturbance decoupling; internal stability; nonstrictly proper system; self-bounded controlled invariance; self-bounded subspace; Australia Council; Control systems; Control theory; Eigenvalues and eigenfunctions; Feedback loop; Output feedback; Stability; Disturbance decoupling with internal stability; fixed poles of the closed-loop; geometric approach; nonstrictly proper systems; self-bounded subspaces;
         
        
        
            Journal_Title : 
Automatic Control, IEEE Transactions on
         
        
        
        
        
            DOI : 
10.1109/TAC.2007.914273