7.

8.

9.

(b) Consider a second order linear time invariant system sampled at an
interval T 0.1 sec given as

४२) = ( 3 1) + (1)

४८४) = ( 1 0) 2(k) u (14)
Design a stable sliding surface and obtain the discrete time sliding mode
controller. Obtain the QSMB choosing appropriate parameter values.

PART C(MOdule V and VI)

(a) Explain the design of a second order sliding mode
controller that will provide a continuous control.

(b) Prove that in an Utkin sliding mode observer, sliding

mode will take place in finite time.

(a) Explain the design technique of a sliding mode

observer. (b) Explain the design of a twisting controller.

(a) Explain the desigp df a super twisting based differentiator.

(b) Show that the sliding mode based observation in an
uncertain LTI system yields a reduced order motion during
sliding mode independent of uncertainty.

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