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Given the unity feedback system of Figure P6.3 with
tell how many closed-loop poles are located in the right half-plane, in the left half-plane, and on the
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Control Systems Engineering
- 5. A feedback system's open-loop transfer function is K G(s) = s(s+ 3)(s+ 6) 1)Sketch the system root locus. 2)Find the range of K when the system is a stable system.arrow_forwardA system has the following characteristic equation: s+ s+ 3s+ 2s + 2 = 0 Using the Routh-Hurwitz method, checka. How many roots are to the right of the imaginary axis?b. Is the system stable?.arrow_forwardFigure Q2 shows the block diagram of a unity-feedback control system Proportional Controller Plant R(s) C(s). s(3s +1) 5+2s² +4 K 2.1- Determine the characteristic equation. 2.2- Using the Routh-Hurwitz criterion to determine the range of gain, K to ensure stability and marginally stability in the unity feedback syste m.arrow_forward
- b. Use Routh - Hurwitz stability criterion to determine the system having the following function is stable. s 3+ 3s?+ 7s +k = 0arrow_forwardIt is known that G(s)= $4 and the closed-loop structure is shown below: R(s) + E(s) A (7 K(s + 2) G(s) +s C(s) Find the range of K for which the closed-loop system will have at least two right half-plane poles. (Tip: consider no zeros in 1st column of Routh table and special cases separately)arrow_forward2. Consider the closed-loop system shown below. Determine the range of K for stability. Assume that K > 0. R(s) K S-2 (s + 1)(s² + 6s+25) C(s)arrow_forward
- Homework: For a unity feedback system with the forward transfer function: K(s + 20) G(s) = s(s + 2)(s+3) find the range of K to make the system stable.arrow_forwardA Block diagram of a feedback control system is shown in Figure Q3. Using the Block Diagram Reduction Method, solve for the output Y(s) when:(i) Input D(s) = 0,(ii) Input R(s) = 0,(iii) Input R(s) and D(s) are both applied (i.e., R(s) ≠ 0 , D(s) ≠ 0).arrow_forwardSimplify the block diagram shown below. Then, obtain the closed-loop transfer function C(s)/R(s). H3 R(s)- G1 G2 G3 G4 > C(s) H +arrow_forward
- • The unity feedback control structure has the following block diagram: w C(s) P(s)arrow_forwardGiven the system equipped with unitary feedback, whose direct branch transfer function is: (s + 4) (s + 2) (s+5)(s + 9) Design a PID controller with one of the Ziegler-Nichols methods. G(s)=arrow_forward3- Nise (4.4) A unity feedback control system has the following open-loop transfer function: G(s) = 45+¹ Find expressions for 4s+1 45² its time response when is subjected to unit impulse input.arrow_forward
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