Control Theory Applications Math
Control Theory Applications Math
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.
Top: Science: Math: Applications: Control Theory
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Control Tutorials for Matlab - 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.
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PID Controller - Description of the PID control loop. Includes transient diagrams and source codes.
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Classical Feedback Control with Matlab - Scientific article on the closed loop control. Addresses system design, filtering, control optimization, stability, Bode and Nyquist diagrams.
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Bode and Nyquist Using Excel - Explains how spreadsheets can be used to obtain Bode and Nyquist Diagrams, from the University of Michigan, USA. Includes several illustrated examples.
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Adjusting PID Gains - Describes the adjustment procedure of PID gains. Includes transient plots.
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PID Without a PhD - Overview of the PID control theory in plain text. Addresses mathematical background, tuning and transient response.
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The Nyquist Criterion Using Bode Plots - Explains the controller stability criteria based on the Nyquist frequency response. Includes mathematical formulations and diagrams.
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Control Theory and Engineering Links from Theorem.Net - List of resources, applets and publications.
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Russian Systems and Control Archive - Information about Russian specialists, groups, institutes, foundations, conferences, journals and books related to systems and control. [English, Russian]
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Model Order Reduction - Topic connected to dynamical systems in application to reducing complexity of a dynamical control system. Includes introduction to this field, documents and codes.
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Tuning a PID Controller - Describes the different types of controller. Addresses efficiency and stability aspects.
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Control Theory 101 - Describes the basics of PID algorithms. Addresses proportional, integral and derivative components and their effects.
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Wikipedia: Control Engineering - Definition of control engineering. Includes modelling approaches and application fields.
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System-Specific PI Control Theory for Fluid and Motion Systems - Scientific summary about analytical PI and PID control tuning methods.
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Nyquist Stability - Explains the basics of the Nyquist controller stability criteria. Includes diagrams and Bode plots.
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Digital Control Tutorial - Explains the digital control theory and its applications in microprocessor-based controllers. Addresses z-transformation, stability and transient response.
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Design and Analysis of Control Systems Research Laboratory - Department of the University of Massachusetts, USA, concerned with control research. Includes publications, research topics and contact information.
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Wikipedia: Control Theory - Comprehensive overview and glossary about the theory. Includes definitions, mathematical aspects, historical background and examples.
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Feedback and Temperature Control - Scientific article about temperature controller. Addresses controller types, algorithms, transient responses and simulations.
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Signals, Systems and Control Demonstrations - Resource of applets and interactive lectures dedicated the control theory from the Johns Hopkins University.
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Brief History of Feedback Control - Comprehensive article about the historical aspects of the theory and its development. Includes applications and references.
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Control Tutorials for Matlab: PID Tutorial - Introduction to the theory with focus on PID control. Includes background and examples with source code.
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Web-Based Control System Analysis and Design - Applets to generate Bode diagrams, Nichols chart and Nyquist diagrams.
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