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Design Via Root Locus ELEC304Alper Erdogan11Lecture 1 Design Via Root Locus Motivation: Consider the example below B is the desired root: we can't access by changing K! What can we do? 1. Change parameters
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How to fill out design via root locus

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To fill out design via root locus, follow these steps:

01
Identify the open-loop transfer function of the system.
02
Determine the number of poles and zeros of the transfer function.
03
Sketch the root locus plot, which shows the possible locations of the system's poles as a parameter, usually the gain, varies.
04
Analyze the root locus plot to determine stability and performance characteristics of the system, such as damping ratio and natural frequency.
05
Choose appropriate values for the desired system performance based on the root locus plot analysis.
06
Adjust the system's gain to achieve the desired pole locations.
07
Verify the stability and performance of the system using the adjusted gain.
Design via root locus is useful for engineers, particularly those involved in control system design. It provides insight into the behavior and stability of a system, allowing for analysis and optimization. It helps in designing systems with desired characteristics by manipulating the system's gain to achieve desired pole locations. This approach is especially valuable in industries such as aerospace, automotive, robotics, and process control, where precise control of dynamic systems is critical.
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Design via root locus is a method used in control system engineering to visualize and analyze the behavior of a system by plotting the roots of the system's characteristic equation in the complex plane.
Engineers and control system designers are usually required to file design via root locus in order to analyze and optimize the performance of control systems.
To fill out design via root locus, one needs to first determine the open-loop transfer function of the system, plot the root locus by varying a parameter (gain or pole location), and analyze the system's stability and performance.
The purpose of design via root locus is to understand and improve the stability, performance, and behavior of a control system by visualizing the movement of the system's poles in the complex plane.
The information that must be reported on design via root locus includes the system's transfer function, the pole and zero locations, the gain margin, phase margin, and the stability of the system.
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