Part C (Modules va VI)
7) 4.Briefly explain the design of an Utkin observer for an LTI system. (6) 0. Explain the term
relative degree and order w.r.t to sliding mode control system. (4)

c. For a system described by

and assume a sliding surface c = is designed. Find the reative degree w.r.t ௦ for the above
system. Is it possible to design a classical SMC for the above system with the above

sliding surface if not why?. (2)

8) a. Prove that in an Utkin's sliding mode observer sliding mode will takes place in finite time.

(6) b. Explain in detail design of a second order sliding mode controller that will provide

continuous control. (6)

9) a. Explain the need of an observer. Also, compare the features of a sliding mode observer and
Leunberger observer. Also mention their respective observer dynamics and error dynamics.

(6) b. Explain in detail design of a super-twisting based differentiator. (6)