8.8 Generalized Root Locus the requested percent overshoot line. MATLAB ch the value of gain, all closed-loop poles at that osed-loop step response plot corresponding to the Ant. This exercise solves Example 8.8 using MATLAB. who are using MATLAB may want to explore the SISO Design scribed in Appendix E at www.wiley.com/college/nise. The Design Tool is a convenient and intuitive way to obtain, view, interact with a system's root locus. Section D. 7 describes the vantages of using the tool, while Section D. 8 describes how to ase it. For practice, you may want to apply the SISO Design Tool to some of the problems at the end of this chapter. Skill-Assessment Exercise 8.6 PROBLEM: Given a unity feedback system that has the forward-path transfer function do the following: K G(s)= (s+2)(s+4)(s+6) 419 S715-8 Gul Tool GUIT 3+125+445 +125+445+48 7/ 705. 0.59 a. Sketch the root locus. h. Using a second-order approximation, design the value of K to yield 10% overshoot for a unit-step input. c. Estimate the settling time, peak time, rise time, and steady-state error for the value of K designed in (b). d. Determine the validity of your second-order approximation. ANSWERS: