Title : 
On the use of inversion formulae for the synthesis of discrete PID controllers
         
        
            Author : 
Cuoghi, Stefania ; Ntogramatzidis, Lorenzo
         
        
            Author_Institution : 
Tech. Sch. "E. Fermi", Modena, Italy
         
        
        
        
        
        
            Abstract : 
This paper presents a new set of formulae for the design of discrete proportional-integral-derivative (PID) controllers under requirements on steady-state performance and robustness specifications, such as the phase and the gain margins, as well as the gain crossover frequency. The proposed technique has the advantage of avoiding trial-and-error procedures or approximations connected to an a posteriori discretisation. This method can also be implemented as a graphical design procedure in the Nyquist plane.
         
        
            Keywords : 
control system synthesis; discrete systems; inverse problems; robust control; three-term control; Nyquist plane; a posteriori discretisation; discrete PID controllers synthesis; discrete proportional-integral-derivative controller; gain crossover frequency; gain margins; graphical design procedure; inversion formulae; phase margins; robustness specifications; steady-state performance; trial-and-error procedures; Equations; Frequency control; Frequency response; Gain; PD control; Steady-state; Transfer functions;
         
        
        
        
            Conference_Titel : 
Control & Automation (MED), 2013 21st Mediterranean Conference on
         
        
            Conference_Location : 
Chania
         
        
            Print_ISBN : 
978-1-4799-0995-7
         
        
        
            DOI : 
10.1109/MED.2013.6608795