Title : 
Guaranteed stability margins for the discrete-time linear quadratic optimal regulator
         
        
        
            Author_Institution : 
Tel-Aviv University, Tel-Aviv, Israel
         
        
        
        
        
            fDate : 
2/1/1986 12:00:00 AM
         
        
        
        
            Abstract : 
The stability properties of the linear quadratic deterministic optimal regulator are investigated in the discrete-time case. Guaranteed phase- and gain- margins are obtained for the regulator in terms of the singular values of the matrices of the regulator state-space description. These margins are compared to their continuous-time counterparts and their implication on the regulator robustness is discussed.
         
        
            Keywords : 
Linear-quadratic control; Robustness, linear systems; Stability, linear systems; Feedback; H infinity control; Optimal control; Performance gain; Regulators; Riccati equations; Robust control; Robust stability; Robustness; Transfer functions;
         
        
        
            Journal_Title : 
Automatic Control, IEEE Transactions on
         
        
        
        
        
            DOI : 
10.1109/TAC.1986.1104222