Abstract
To introduce linear control system concepts of transfer function, impulse response, step response, and frequency response, as well as the measures of control system performance and robustness. To present an overview of design techniques for single-variable and multivariable linear control systems. To highlight useful control theory concepts
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Notes
- 1.
Note that a torque impulse of magnitude u 0 translates into an input profile (torque vs. time) of area u 0 N m s applied instantaneously, i.e., in zero time.
- 2.
An asymptotically stable first-order system with transfer function,
$$\frac{Y (s)} {U(s)} = \frac{{y}_{0}} {s + k}\;; \qquad (k > 0),$$has settling-time \({t}_{\mathrm{s}} = \frac{4} {k}\).
- 3.
Conditioning of a square matrix refers to how close the matrix is from being singular (i.e., has a zero determinant). A scalar measure called the condition number is assigned to the matrix that reflects its conditioning. A large condition number implies the matrix is close to being singular.
- 4.
The extension to a reduced-order observer is easily carried out; thus, there is no loss of generality.
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© 2011 Springer Science+Business Media, LLC
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Tewari, A. (2011). Control Design Techniques. In: Automatic Control of Atmospheric and Space Flight Vehicles. Control Engineering. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-0-8176-4864-0_3
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DOI: https://doi.org/10.1007/978-0-8176-4864-0_3
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Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-0-8176-4863-3
Online ISBN: 978-0-8176-4864-0
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