Title : 
Singular LQ suboptimal control for a class of singular system with time-delay
         
        
            Author : 
Zhang, Baolin ; Gao, Dexin
         
        
            Author_Institution : 
Coll. of Sci., China Jiliang Univ., Hangzhou
         
        
        
        
        
        
            Abstract : 
A singular linear quadratic (LQ) optimal control problem for a class of singular systems with time-delay is investigated. Under some general conditions, the original singular LQ problem is transformed into a nonsingular LQ problem for standard systems with time-delay. Then, by using a successive approximation approach (SAA), the optimal control law is obtained, which can be synthesized as a state feedback term and a time-delay compensation term. By choosing finite times iteration of the optimal sequence, a suboptimal control law is obtained.
         
        
            Keywords : 
approximation theory; delay systems; linear quadratic control; singular optimal control; suboptimal control; finite times iteration; optimal sequence; singular linear quadratic optimal control problem; singular systems; state feedback term; successive approximation approach; time-delay system; Control systems; Cost function; Differential equations; Optimal control; Riccati equations; Optimal control; Singular linear quadratic (LQ) problem; Singular systems; Successive approximation approach (SAA); Time-delay;
         
        
        
        
            Conference_Titel : 
Control and Decision Conference, 2008. CCDC 2008. Chinese
         
        
            Conference_Location : 
Yantai, Shandong
         
        
            Print_ISBN : 
978-1-4244-1733-9
         
        
            Electronic_ISBN : 
978-1-4244-1734-6
         
        
        
            DOI : 
10.1109/CCDC.2008.4597903