
Introduction to Linear, Time-Invariant, Dynamic Systems for Students of Engineering
William L. Hallauer
Introduction to Linear, Time-Invariant, Dynamic Systems for Students of Engineering
William L. Hallauer
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Year: | 2016 |
Publisher: | Autoedición |
Pages: | 439 pages |
Language: | english |
Since: | 17/10/2018 |
Size: | 4.99 MB |
License: | CC-BY-NC |
Content:
This is a complete college textbook, including a detailed Table of Contents, seventeen Chapters (each with a set of relevant homework problems), a list of References, two Appendices, and a detailed Index. The book is intended to enable students to:
- Solve first-, second-, and higher-order, linear, time-invariant (LTI) ordinary differential equations (ODEs) with initial conditions and excitation, using both time-domain and Laplace-transform methods;
- Solve for the frequency response of an LTI system to periodic sinusoidal excitation and plot this response in standard form;
- Explain the role of the time constant in the response of a first-order LTI system, and the roles of natural frequency, damping ratio, and resonance in the response of a second-order LTI system;
- Derive and analyze mathematical models (ODEs) of low-order mechanical systems, both translational and rotational, that are composed of inertial elements, spring elements, and damping devices;
- Derive and analyze mathematical models (ODEs) of low-order electrical circuits composed of resistors, capacitors, inductors, and operational amplifiers;
- Derive (from ODEs) and manipulate Laplace transfer functions and block diagrams representing output-to-input relationships of discrete elements and of systems;
- Define and evaluate stability for an LTI system;
- Explain proportional, integral, and derivative types of feedback control for single-input, single-output (SISO), LTI systems;
- Sketch the locus of characteristic values, as a control parameter varies, for a feedback-controlled SISO, LTI system;
- Use MATLAB as a tool to study the time and frequency responses of LTI systems.
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