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# Assignment

**Assignmentt 3**

**The Stability of Linear Feedback Systems**

- Watch video “EE495 – Week 3 – Lecture”
- Read Chapter 6 in the text Modern Control Systems, 12th Edition.
- Work the following problems:
- A system has a characteristic equation: q(s) = s3 + 20s2+ 5s + 100 = 0
- Determine whether the system is stable using the Routh-Hurwitz criterion.
- Determine the roots of the characteristic equation.

- A system has the characteristic equation: q(s) = s3 + 10s2+ 29s + K = 0
- Shift the vertical axis to the right by 2 by using s = sn – 2, and determine the value of gain K so that the complex roots are s = -2 ± j.

- A system has a characteristic equation: q(s) = s3 + 20s2+ 5s + 100 = 0
- Save work in a file with the title: “HW3_StudentID”, with your student id substituted in the file name. Show all work for full credit.
- Upload file “HW3_StudentID”

**Lab 3**

**The Stability of Linear Feedback Systems**

- A unity negative feedback system with Gc(s)G(s) = K(s + 2) / (s(1 + τs)(1 +2s)) has two parameters to be selected.
- Determine and plot the regions of stability for this system.
- Select τ and K so that the steady-state error to a ramp input is less than or equal to 25% of the input magnitude.
- Determine the percent overshoot for a step input for the design selected in part (b).Use MATLAB to plot y(t) for a step input R(s).

- Include all MATLAB code, calculations and screenshots in a Word entitled “Lab3_StudentID”.
- Upload file “Lab3_StudentID”

**ET 410**

**Developing Requirements and SDR Documents**

1. Based on the lectures, the Engineering Design text (especially 2.2, 6.1, 6.3, 7, and 8), and your research, do the conceptual design (as explained in Chapter 2 and also above) for your project. Two or three alternative designs should be considered with functional block diagrams for all of them. You may submit your **Conceptual Design Review** or **System Design Review** document as a powerpoint presentation or as a written document. You may use templates as a guide by doing a search of "conceptual design review template" or "system design review template."

- Create a
**Project Requirements Document**for your chosen design. It should include a functional block diagram of the design along with the functional specifications. This should be a written document. It is worthwhile to look for templates to guide you by doing a search of "project requirements document" or "requirements specification template" or "specification document template." - Update your Lessons Learned Document.
- Be sure to save these documents along with the one last week as you will need to submit these in Week 1 of ET450.
- Submit these in the dropbox.