SKEDSOFT

Control Systems - 1

Lead compensators

There are many ways to realize continuous-time (or analog) lead compensators, such as electronic networks using operational amplifiers, electrical RC networks, and mechanical spring-dashpot systems. Compensators using operational amplifiers are frequently used in practice.

Figure 1 shows an electronic circuit using operational amplifiers. The transfer function for this circuit is given by

                   

 

         Fig: 1 Lead network                                                                             Fig: 2 Pole-zero configurations: (a) lead network; (b) lag (a) (b) network

 

 

 

 

From the equation of the transfer function, we see that this network is a lead network if R1C1 > R2C2, or α < 1. It is a lag network if R1C1 < R2C2. The pole-zero configurations of this network when R1C1 > R2C2 and R1C1 < R2C2 are shown in Figure 2 (a) and (b), respectively.