Question

2. a) A digital controller implementation for a feedback system is shown in Figure 2 where the sampling period is T0.1 second. The plant transfer function is s +10 P(s) = and the feedback controller, K, is a simple proportional gain (K>0).v R(z) E(z) S+10 Controller ZOH Plant Figure 2* i)o In order to directly design a digital controller in the z-domain, the plant P(s) 6. needs to be discretised as P(z). Find the ZOH equivalent P(z) of P(s), with a sampling period of T-0.1 second. i)o Give the transfer function of the closed-loop system, ie, from R(Z) to 4- ρ Y(z)- iii)- Determine the range of K such that this closed-loop system design is stable- 4-.,

Give me the explanation plz

Answer 1

DATA GIVEN ) lock diogsam RS) S+10 k- OLUTION -I blouk St IO 1SIo 1 + 10七 z-1(z-1)

}-乙 Z-1 ,'' G12 ) , RLZ) G) H(Z) kadbac RCZ) e Rooth s

(14 tom Routh nray 14 an AM