The closed-loop feedback system for a rocket's steering control system is shown below. It incorporates a type of controller known as a PID (proportional-integral-derivative). We want to perform root locus analysis on this system. PID Controller Rocket Dynamics K (s + 4) (s+2) R(s) Cs) s2-1 PROCEDURE Normally, with the Control Systems Toolbox, we could use basic commands such as tf, rlocus, and rlocfind to draw and interact with a Root Locus plot. Without these tools, however, we will use basic (old school) techniques to do the same things. 1. Identify the open-loop poles and zeros of the system. Write down the characteristic equation for the above closed-loop system. 2. Make a hand drawing of the root locus, using the rules for sketching a root locus. Be sure to label the axes, and indicate the direction of pole movement along the various branches of the root locus. 3. Create a Routh Table to determine the range of K for which the system is stable.

The closed-loop feedback system for a rocket's steering control system is shown below. It incorporates a type of controller known as a PID (proportional-integral-derivative). We want to perform root locus analysis on this system. PID Controller Rocket Dynamics K (s + 4) (s+2) R(s) Cs) s2-1 PROCEDURE Normally, with the Control Systems Toolbox, we could use basic commands such as tf, rlocus, and rlocfind to draw and interact with a Root Locus plot. Without these tools, however, we will use basic (old school) techniques to do the same things. 1. Identify the open-loop poles and zeros of the system. Write down the characteristic equation for the above closed-loop system. 2. Make a hand drawing of the root locus, using the rules for sketching a root locus. Be sure to label the axes, and indicate the direction of pole movement along the various branches of the root locus. 3. Create a Routh Table to determine the range of K for which the system is stable.

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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