What This Document Is
This is an assignment sheet for EE128, Feedback Control Systems, at UC Berkeley. It outlines a homework assignment designed to reinforce your understanding of core concepts related to discrete-time control systems and their analysis. The assignment builds upon material presented in the course textbook and requires practical application of theoretical knowledge. It focuses on translating continuous-time systems into their discrete equivalents and designing controllers for these systems.
Why This Document Matters
This assignment is crucial for students enrolled in a feedback control systems course, particularly those focusing on digital implementation of control strategies. Successfully completing this assignment will demonstrate your ability to apply techniques for analyzing and designing discrete-time control systems – a skill essential for many engineering disciplines. It’s most valuable when used *alongside* your course notes and the assigned textbook readings, serving as a practical test of your comprehension. This assignment will help solidify your understanding before moving on to more advanced topics.
Topics Covered
* Discrete-Time System Modeling
* Transformation between Continuous and Discrete Time Domains (using methods like c2d)
* Root Locus Analysis in the Z-Plane
* Stability Analysis of Discrete-Time Systems
* State-Space Representation and Discretization
* State Feedback Controller Design
* Frequency Response Analysis (Bode Plots)
What This Document Provides
* A set of problems directly linked to textbook material.
* Specific problem statements requiring analytical and computational solutions.
* Hints and guidance to aid in problem-solving.
* Suggestions for utilizing MATLAB for verification and analysis.
* Instructions for generating visualizations, such as root locus plots and frequency response diagrams.
* A framework for applying state-space techniques to discrete-time systems.
