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A system has the characteristic equation: q(s) = s3 + 10s2 + 29s + K =...
2. (8 pts) A system has a characteristic equation s3 Ks2 ( K)s6 0. Using the Routh- Hurwitz criterion, determine the range of K for a stable system.
R(S) + C(s) K $++383+10s2+30s+150 1 A feedback system is described on the figure above. a. If K=450 find the number of closed-loop poles located on the RHS, LHS and on the jw-axis. b. Find the value of the gain K, which will produce undamped system step response (critical gain). Find the respective oscillating frequency. c. For which values of K the system will be (i) stable, (ii) not stable.
The characteristic equation (denominator of the closed-loop transfer function set equal to zero) is given s3 + 2s2 + (20K +7)s+ 100K Sketch the root locus of the given system above with respect to K. [ Find the asymptotes and their angles, the break-away or break-in points, the angle of arrival or departure for the complex poles and zeros, imaginary axis crossing points, respectively (if any). The characteristic equation (denominator of the closed-loop transfer function set equal to zero) is...
Construct Routh array and determine the stability of the system whose characteristic equation is s6 +2s5 8s12s3 +20s2 +16s16 0. Also, determine the number of roots lying on right half of s-plane, left half of s-plane and on imaginary axis. 11) com
1) Plot the root locus of the system whose characteristic equation is 2) Plot the root locus of the closed loop system whose open-loop transfer function is given as 2s + 2 G(S)H(S)+7s3 +10s2 3) Plot root locus of the closed-loop system for which feedforward transfer function is s + 1 G(S) s( ) St(s - and feedback transfer function is H(S)2 +8s +32 1) Plot the root locus of the system whose characteristic equation is 2) Plot the root...
Hi, the part which i am not sure is , why when finding the break in /away point the result will not yield real roots? (b) The characteristic equation of a control system is given by q(s)s(+4)(s+10)+K(s+3)s+5 0 Sketch the root-locus of q(s). Indicate clearly the asymptotes, the centroid, the break-away/break-in points and the crossing of the ja-axis, if any. Hence or otherwise, determine whether the characteristic equation can have complex conjugate roots for certain values of K> 0. (Hint:...
G(s) Y(s) s+2 1. (25 points) A system has G(S) = 21ac11: (a) Find the two points that define each real-axis segment of the root locus. (b) Find the maximum value of the gain K for the closed-loop to be stable. If there are root loci that cross the imaginary axis, also find the corresponding frequency of the closed-loop roots that lie on the imaginary axis. (c) Find the angle of departure from the complex poles. (d) Find the location...
Q2 (a) List down THREE (3) important requirements to design a control system. (3 marks) State the possible consequence when a physical system becomes unstable. (2 marks) (6) (c) Consider the following characteristic Equation shown below: P(s) = 55 +683 + 582 +8s + 20 (1) Construct Routh table for the characteristic Equation. (6 marks) (ii) Using the Routh – Hurwitz criterion, determine the stability of the system. (2 marks) (ii) Determine the numbers of roots on the right half-plane,...
Ks+8-0. For this system. 6. A negative feedback system has characteristic equation 1+ s2 +2s +2 (a) Sketch the root-locus, marking all important points, numerical values, incl. the angle of departure (possibly in terms of tan(x (b) Find the gain when the roots are both equal and find these 2 equal roots. 6 pts) 4 pts) Ks+8-0. For this system. 6. A negative feedback system has characteristic equation 1+ s2 +2s +2 (a) Sketch the root-locus, marking all important points,...
Plot the root locus for a system with the following characteristic equation: s2 +8s 25 s2(s 4) Be sure to calculate (and clearly label) any asymptotes, break-in/break-away points, and arrival/departure angles. If there are any imaginary axis crossings, clearly identify the frequency () and gain (K) associated with such crossings.