CDS 101/110 - System Modeling
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|CDS 101/110a||Schedule||Recitations||FAQ||AM06 (errata)|
This lecture provides an overview of modeling for control systems. We discuss what a model is and what types of questions it can be used to answer. The concepts of state, dynamics, inputs and outputs are described, including running examples to demonstrate the concepts. Several different modeling techniques are summarized, with emphasis on differential equations. Two examples are included to demonstrate the main concepts.
Wednesday: Modeling using Ordinary Differential Equation (Slides, MP3)
A more complete description of modeling with differential and difference equations.
Friday: Review of Linear Algebra and ODE (Mary Dunlop)
This lecture will provide a review of key concepts from linear algebra and differential equations, tuned to the needs of the course.
|Monday||Wednesday (CDS 110)
- K. J. Åström and R. M. Murray, Feedback Systems: An Introduction for Scientists and Engineers, Preprint, 2006. Chapter 2 - System Modeling.
This homework set demonstrates the construction and use of models for control systems. The first problem asks the student to identify the states, inputs, outputs, and dynamics for a sample systems. The second problem consists of a detailed construction of a vehicle model that can be used for cruise control. The last two problems (CDS 110 only) explore different modeling techniques, including both discrete time, analytical, and MATLAB-based analysis of dynamical systems.
Monday <ncl>CDS 101/110 FAQ - Lecture 2-1</ncl> Wednesday <ncl>CDS 101/110 FAQ - Lecture 2-2</ncl> Friday <ncl>CDS 101/110 FAQ - Lecture 2-3</ncl> Homework <ncl>CDS 101/110 FAQ - Homework 2</ncl>