11. What is not true for the control system stability?d) If a linear, time-invariant system is stable it is zero-input stable andasymptotically stable.e) A system is stable if it returns to the initial equilibrium state when theexternal action with small duration is removed.f) A linear system is stable if characteristic equation has no root lyingin the right-half s-plane.g) A system is stable if its impulse response approaches zero as timeapproaches infinity.

To check: Which of the statement is not true for the control system stability. Given: The statement…

Answered: 11. What is not true for the control…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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QUESTION 5 Consider the system whose block diagram is shown below. D(s) R(s) + + C(s) K G(s) G(8) R(s) is the reference input or target, and D(s) is the disturbance input. Gp(t) is the plant (house, motor, car,...) transfer function, Gc(t) is the compensator transfer function, and K is the compensator gain given by 1 G (s) G (s) = P s+10 1 3s+2 and K=5. Find the transfer function, C(s)/R(s). 3 s²+16s+14 8 3s²+32s+25 S 382+8+6 8(s+ 10) 3s² + 32s+25 3s+2 3s²+32s+25 5 3x²+32x+25
For a two degree of freedom system subject to free undamped vibrations, the inertia and stiffness coefficient matrices are given by: 67500] a) What type of coupling exits in this system? Briefly explain why. b) Calculate the natural frequencies of the system. c) Calcuate the ratio of amplitudes at each natural frequency. d) Calculate the orthonormalised eigenvectors and subsequently form the matrix of orthonormalised eigenvectors. [M] = [1000 25] and [k] = [4000 [40000 2.5 810.
A) Assuming that no inputs are present to a first-order and a second-order systems, mention two fundamental differences between the two systems. B) Determine the damping ratio and natural frequency of the single-loop RLC electrical circuit system shown below. d²1 dI I + R + = dt² dt с L E(t). C) State two distinctions between odd and even functions, and name and sketch a function that's neither odd nor even. D) What is the frequency in Hertz and the amplitude of the 5th term (i.e. the 4th harmonics) of the following signal? 4 2π 10π == - sin TT 4 бп y(t) (² t) + 37 sin (17) 4 + sin 5π (10+) +. 10 10
The behavior of the solutions of the equation 4 у" + 16 у %3D 0 can be described as a) Damped oscillations b) Critically damped c) Undamped oscillations d) Overdamped
A37 A32 A4 Aes A23x A34/x A45 /x As /x Ae7 A72 1-find a) Input and Output nodes. b) . Forward paths. c) Feedback paths. d) Self loop e) . Determine the loop gains of the feedback loops. f) Determine the path gains of the forward paths. 2- Apply Mason's Rule to calculate the transfer function of the system represented by following Signal Flow Graph
Part a and b
1) Obtain a state space model of the system. 2) Given m =1 kg, k = 1 N/m and b = 1 N.s/m is the system Controllable? 3) For what values of k,m,b the system is stable? Explain your answer?
2. Which parameter is not involved in the linear impulse and momentum equation? a. Velocity b. Displacement c. Time d. Force
Problem 2. A linearized state space model of a three blade speed wind turbine with a 15 m radius working at 12 m/s wind-speed and generating 220 V is -5 5 1 -10.5229 -1066.67 -3.38028 23.5107 993.804 3.125 -23.5107 Wgm 10 -10 Wgm y = [ 0 0 0 1.223 × 10° 0] Wgm where 3 is the pitch angle of the wind turbine blades, { is the relative angle of the sec- ondary shaft, i is the angular velocity of the secondary shaft, wg is the generator speed, Wgm is the generator measurement speed, u is the pitch angle reference, and y is the active power generated. (a) What is the maximum number of poles that the transfer function could have? How many poles does it have?

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