Home > Science > Math > Applications > Control Theory
This category is for site concerned with the mathematical theory of systems and their control.
In engineering and mathematics, control theory deals with the behaviour of dynamical systems over time. The desired output of a system is called the reference variable. When one or more output variables of a system need to show a certain behaviour over time, a controller tries to manipulate the inputs of the system to realize this behaviour at the output of the system.
As an example, consider cruise control. In this case, the system is a car. The goal of cruise control is to keep the car at a constant speed. Here, the output variable of the system is the speed of the car. The primary means to control the speed of the car is the amount of gas being fed into the engine.
http://www.chem.mtu.edu/~tbco/cm416/freqexcel.html
Explains how spreadsheets can be used to obtain Bode and Nyquist Diagrams, from the University of Michigan, USA. Includes several illustrated examples.
http://www.math.uwaterloo.ca/AM_Dept/research/control.shtml
Brief introduction to the feedback theory in plain text. Addresses infinite dimension systems, active noise control, non-linear systems and related applications.
http://www.flightgear.org/Docs/XMLAutopilot/node2.html
Describes the basics of PID algorithms. Addresses proportional, integral and derivative components and their effects.
http://www.engin.umich.edu/group/ctm/
Tutorials about the control theory and its applications from the University of Michigan, USA. Addresses basics, modelling, controller design, transients and digital control, with animations and source codes.
http://www.engin.umich.edu/group/ctm/PID/PID.html
Introduction to the theory with focus on PID control. Includes background and examples with source code.
http://www.ecs.umass.edu/mie/labs/dacs/
Department of the University of Massachusetts, USA, concerned with control research. Includes publications, research topics and contact information.
http://www.engin.umich.edu/group/ctm/digital/digital.html
Explains the digital control theory and its applications in microprocessor-based controllers. Addresses z-transformation, stability and transient response.
http://newton.ex.ac.uk/teaching/CDHW/Feedback/
Scientific article about temperature controller. Addresses controller types, algorithms, transient responses and simulations.
http://www.facstaff.bucknell.edu/mastascu/eControlHTML/Freq/Nyquist3.html
Explains the basics of the Nyquist controller stability criteria. Includes diagrams and Bode plots.
http://www.ecircuitcenter.com/Circuits/pid1/pid1.htm
Description of the PID control loop. Includes transient diagrams and source codes.
http://www.engineers-excel.com/Tools/PID_Simulator/Description.htm
Free PID loop simulator for Excel.
http://www.rusycon.ru/english/rusycon.html
Information about Russian specialists, groups, institutes, foundations, conferences, journals and books related to systems and control. [English, Russian]
http://pages.jh.edu/~signals/
Resource of applets and interactive lectures dedicated the control theory from the Johns Hopkins University.
http://www.newportus.com/Products/Techncal/techncal.htm
Describes the different types of controller. Addresses efficiency and stability aspects.
http://en.wikipedia.org/wiki/Control_engineering
Definition of control engineering. Includes modelling approaches and application fields.
http://en.wikipedia.org/wiki/Control_theory
Comprehensive overview and glossary about the theory. Includes definitions, mathematical aspects, historical background and examples.
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