ACS BITS
1.A scalar function V(X)=(X1+X2)2 is
2.In second method of Liapunov the time derivative of the total energy must be
3.In second method of Liapunov, what is vibratory system
4.For an Linear time invariant system f(x(t), t) = AX(t)=0, if `A' is singular there are _ _ _ _ number of state variable
5. If mathop V limits.(X)is negative definite scalor function the system is
6.If the system is non Linear there may be _ _ _ _ _ equilibrium points
7.The trajectories starting in S(δ) does not leave
8.As for as a L T I V system is concerned, if the system is locally stable it is automatically
9.Stability in the sense of Liapunov and if evey solution starting
10.In second method of Liapunov, total energy is _ _ _ _ _ definite function
11.If the origin of the linear system is stable it is automatically
12.Vibrating system is stable when the total energy is continuously
13.Liapunov function is
14. What is Liapunov function?
15.In spring mass damper system, the total Energy consists of _ _ _ _ _
16.What are the methods available for fiuding nonlinear continuocs time autonomous systems
17.Which of the following provides a simple test for stability, without the need to solve for roots
18.Equilibrium stability of non linear autonomous system was studied using
19. Lyapunov function is basically a generalization of
20.Which of the following method provides necessary & sufficient conditions for stubility?
21.The Lyapunov functions for linear systems result in a simple method for studying _ _ _ _ _ _ _ _ _ _ _ _ of systems
22.What is the main goal of a feedback design is
23.The state feedback control law for pole placement is unique for
24.In full order observers, the measurement model may be written as
25.In full order observer, M is completely observable the matrix M is chosen
26. An observer contains redundancy because 'q' state variable can be directly obtained from
27.The matrix (A-BK) decides the stability of the system, by properly selecting K the sytem is
28.How to eliminate noise in full order observer?
29.What is the main theoretical approaches to the optimal control system design?
30.The optimal control is said to be in the
31.The Optimal control is said to be in the closed loop form and the function 'f' is called the
32.What is the assumption for obtain the solution of optimal control porblems?
33.An optimal control exists it may be
34..Optimal control theory is the set of
35.The pictorial representation of the state model of the system is called
36. The number or integrators in a state diagram is equal to number of
37. In cananical form of state model, the system matrix will be
38.In Jordan block the diagonal elements are poles and the element just above the diagonal is
39.When a pole of the transfer function has multiplicity the canonical state model will be in special form called
40. Optimal control theory is the set of state equations which describes the behaviour of
41. In Vector notation the state equation of the system is
42. In Vector notation the output equation of the system is
43. An admissible control u* is called an
44.A Set of variables which describes the system at any time instant are called
45.The principle duality states that a system controllable and if and only if its dual system is
46.The device which estmates the state variables is called
47. the state obserever can be designed only if the system is completely
48.When an observer estmates only few number of variables it is calld
49. To improve the transient behaviour by using
50. What is optimal control law in continuous time linear regulators?
ACS KEY
1. +Ve Semi definite
2. -Ve definite
3. Zero input under vibratory initial condition
4. Infinite
5. Asymptotically stable
6. One (or) more
7. S(ε)
8. Globally stable
9. Within S(δ)
10. Positive
11. Asymptotic stability in the large
12. Decreasing
13. Scalar function
14. Fictitious Energy function
15. Kinetic Energy
16. Krasovskii & Variable Gradient method
17. Routh huriuitz
18. Second method of Lyapvnov
19. total system energy
20. Lyapunov direct method
21. transient behaviour
22. to improve the transient behaviour
23. single input systems
24. Y =CX
25. Conjugate pairs
26. 'q' output
27. Asymptotically stable
28. Kalman filter
29. Calculus of variations
30. Open loop form
31. Optimal control law
32. U was unbounded
33. Unique & Non unique
34. State equations
35. State diagram
36. State variables
37. Diagonal matrix
38. One
39. Jordan canonical form
40. Dynamics of plant
41. X(t)=AX(t)+BU(t)
42. Y(t)=CX(t)+DU(t)
43. Optimal control
44. State variables
45. Observable
46. State observer
47. Observable
48. Reduced order observer
49. Feed back design
50. U*(t)=K(t)X(t)
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