Feedback Control of Dynamic
Systems
Yves Briere
yves.briere@isae.fr
I. Introduction
Introduction
• Aim of the course
– Give a general overview of classical and modern
control theory
– Give a general overview of modern control tools
• Prerequisites
– Mathematics : complex numbers, linear algebra
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I. Introduction
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Introduction
• Tools
– Matlab / Simulink
• Book
– « Feedback Control of Dynamics Systems », Franklin,
Powell, Amami-Naeini, Addison-Wessley Pub Co
– Many many books, websites and free references...
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I. Introduction
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Introduction
270 BC : the clepsydra and other
hydraulically regulated devices for
time measurement (Ktesibios)
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I. Introduction
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Introduction
1136-1206 : Ibn al-Razzaz al-
Jazari
“The Book of Knowledge of Ingenious
Mechanical Devices”
crank mechanism, connecting rod,
programmable automaton, humanoid robot,
reciprocating piston engine, suction pipe,
suction pump, double-acting pump, valve,
combination lock, cam, camshaft, segmental
gear, the first mechanical clocks driven by
water and weights, and especially the
crankshaft, which is considered the most
important mechanical invention in history
after the wheel
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I. Introduction
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Introduction
1600-1900 : pre-industrial revolution
Thermostatic
regulators
(Cornelius
Drebbel 1572 -
1633)
Windmill
speed
regulation.
1588 : mill
hoper ; 1745 :
fantail by Lee ;
1780 : speed
regulation by
Mead
Water level
regulation
(flush toilet,
steam machine)
Steam engine
pressure
regulation (D.
Papin 1707)
Centrifugal
mechanical
governor (
James Watt,
1788)
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I. Introduction
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Introduction
1800-1935 : mathematics, basis for control theory
Differential equations first analysis and proofs of stability condition for
feedback systems (Lagrange, Hamilton, Poncelet, Airy-1840, Hermite-1854,
Maxwell-1868, Routh-1877, Vyshnegradsky-1877, Hurwitz-1895, Lyapunov-1892)
Frequency domain approach (Minorsky-1922, Black-1927, Nyquist-1932,
Hazen-1934)
1940-1960 : classical period
Frequency domain theory : (Hall-1940, Nichols-194, Bode-1938)
Stochastic approach (Kolmogorov-1941, Wiener and Bigelow-1942)
Information theory (Shannon-1948) and cybernetics (Wiener-1949)
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