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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.

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• Adjusting PID Gains Describes the adjustment procedure of PID gains. Includes transient plots.
• 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.
• Brief History of Feedback Control Comprehensive article about the historical aspects of the theory and its development. Includes applications and references.
• Classical Feedback Control with Matlab Scientific article on the closed loop control. Addresses system design, filtering, control optimization, stability, Bode and Nyquist diagrams.
• Control Theory Brief introduction to the feedback theory in plain text. Addresses infinite dimension systems, active noise control, non-linear systems and related applications.
• Control Theory 101 Describes the basics of PID algorithms. Addresses proportional, integral and derivative components and their effects.
• Control Theory and Engineering Links Listed at Theorem.Net.
• Control Tutorials for Matlab Tutorials about using Matlab for the analysis and design of automatic control systems.
• Control Tutorials for MATLAB Tutorials about using MATLAB for the analysis and design of automatic control systems.
• Control Tutorials for Matlab Comprehensive 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.
• Control Tutorials for Matlab: PID Tutorial Introduction to the theory with focus on PID control. Includes background and examples with source code.
• 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.
• Digital Control Tutorial Explains the digital control theory and its applications in microprocessor-based controllers. Addresses z-transformation, stability and transient response.
• Elements of Control Systems Comprehensive scientific article about the theory and its applications. Addresses system modelling, state-space equations, linearization, control strategies and stability criteria.
• FAQ on PID Controller Tuning Introduction to PID feedback controller. Includes mathematical background, tuning aspects, implementations and tutorials.
• Feedback and Temperature Control Scientific article about temperature controller. Addresses controller types, algorithms, transient responses and simulations.
• 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.
• Nyquist Stability Explains the basics of the Nyquist controller stability criteria. Includes diagrams and Bode plots.
• PID Control - System Characterization – Stability Comprehensive article about PID control and related stability aspects.
• PID Controller Description of the PID control loop. Includes transient diagrams and source codes.
• PID Without a PhD Overview of the PID control theory in plain text. Addresses mathematical background, tuning and transient response.
• Process Dynamics and Control Lecture notes on process dynamics and control from the University of Pittsburgh, USA. Includes introduction, sorted notes and examples.
• Resource Center for Engineering Laboratories on the Web Resource center dedicated to the control and process dynamics of the University of Tennessee. Includes interactive experiments, tutorials and publications.
• Review of Classical Control Theory Review of the control theory from the University of Arizona, USA. Addresses feedback control, steady state errors, transient and frequency response.
• Russian Systems and Control Archive Information about Russian specialists, groups, institutes, foundations, conferences, journals and books related to systems and control. [English, Russian]
• Signals, Systems and Control Demonstrations Resource of applets and interactive lectures dedicated the control theory from the Johns Hopkins University.
• Some Basic Control Theory Brief summary of control loops. Includes keyword glossary.
• System-Specific PI Control Theory for Fluid and Motion Systems Scientific summary about analytical PI and PID control tuning methods.
• The Nyquist Criterion Using Bode Plots Explains the controller stability criteria based on the Nyquist frequency response. Includes mathematical formulations and diagrams.
• Tuning a PID Controller Describes the different types of controller. Addresses efficiency and stability aspects.
• Web-Based Control System Analysis and Design Applets to generate Bode diagrams, Nichols chart and Nyquist diagrams.
• Wikipedia: Control Engineering Definition of control engineering. Includes modelling approaches and application fields.
• Wikipedia: Control Theory Comprehensive overview and glossary about the theory. Includes definitions, mathematical aspects, historical background and examples.

 

 

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