Title : 
Control during feedback failure: Characteristics of the optimal solution
         
        
            Author : 
Chakraborty, Debraj ; Hammer, Jacob
         
        
            Author_Institution : 
Dept. of Electr. Eng., Indian Inst. of Technol. Bombay, Mumbai, India
         
        
        
        
        
        
            Abstract : 
The problem of keeping performance errors within bounds while controlling a perturbed open loop linear system is considered. The objective is to maximize the time during which performance errors remain acceptable, given that the controlled system is within a specified neighborhood of its nominal parameter values. It is shown that the optimal solution is associated with a switching function z(t) which has the following feature: the optimal input signal is a bang-bang signal when z(t) is not the zero function.
         
        
            Keywords : 
feedback; linear systems; open loop systems; optimal control; perturbation techniques; bang-bang signal; feedback failure; optimal input signal; optimal solution; perturbed open loop linear system; switching function; zero function; Automatic control; Communication system control; Computer errors; Control systems; Error correction; Feedback loop; Linear feedback control systems; Open loop systems; Optimal control; Switches;
         
        
        
        
            Conference_Titel : 
Control and Automation, 2009. MED '09. 17th Mediterranean Conference on
         
        
            Conference_Location : 
Thessaloniki
         
        
            Print_ISBN : 
978-1-4244-4684-1
         
        
            Electronic_ISBN : 
978-1-4244-4685-8
         
        
        
            DOI : 
10.1109/MED.2009.5164683