Control theory
Control theory is a field of mathematics that deals with the control of dynamical systems in engineered processes and machines. The objective is to develop a model or algorithm governing the application of system inputs to drive the system to a desired state, while minimizing any delay, overshoot, or steady-state error and ensuring a level of control stability; often with the aim to achieve a degree of optimality.
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- enControl theory is a field of mathematics that deals with the control of dynamical systems in engineered processes and machines. The objective is to develop a model or algorithm governing the application of system inputs to drive the system to a desired state, while minimizing any delay, overshoot, or steady-state error and ensuring a level of control stability; often with the aim to achieve a degree of optimality.
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- enControl theory is a field of mathematics that deals with the control of dynamical systems in engineered processes and machines. The objective is to develop a model or algorithm governing the application of system inputs to drive the system to a desired state, while minimizing any delay, overshoot, or steady-state error and ensuring a level of control stability; often with the aim to achieve a degree of optimality. To do this, a controller with the requisite corrective behavior is required. This controller monitors the controlled process variable (PV), and compares it with the reference or set point (SP). The difference between actual and desired value of the process variable, called the error signal, or SP-PV error, is applied as feedback to generate a control action to bring the controlled process variable to the same value as the set point. Other aspects which are also studied are controllability and observability. Control theory is used in control system engineering to design automation that have revolutionized manufacturing, aircraft, communications and other industries, and created new fields such as robotics. Extensive use is usually made of a diagrammatic style known as the block diagram. In it the transfer function, also known as the system function or network function, is a mathematical model of the relation between the input and output based on the differential equations describing the system. Control theory dates from the 19th century, when the theoretical basis for the operation of governors was first described by James Clerk Maxwell. Control theory was further advanced by Edward Routh in 1874, Charles Sturm and in 1895, Adolf Hurwitz, who all contributed to the establishment of control stability criteria; and from 1922 onwards, the development of PID control theory by Nicolas Minorsky.Although a major application of mathematical control theory is in control systems engineering, which deals with the design of process control systems for industry, other applications range far beyond this. As the general theory of feedback systems, control theory is useful wherever feedback occurs - thus control theory also has applications in life sciences, computer engineering, sociology and operations research.
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- enControl theory
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- Active optics
- Actuator
- Adaptive control
- Adaptive system
- Adolf Hurwitz
- Aerospace industry
- Aleksandr Lyapunov
- Alexander Lyapunov
- Algebraic equation
- Ali H. Nayfeh
- Andrey Kolmogorov
- Anti-wind up system (control)
- Artificial neural networks
- Asymptotic stability
- Audio system
- Automation
- Automation and remote control
- Autopilot
- Backstepping
- Bandwidth (signal processing)
- Bang-bang control
- Bang–bang control
- Bayesian probability
- BIBO stability
- Block diagram
- Bode diagram
- Bode plot
- Bond graph
- Bounded function
- Cartesian coordinates
- Category:Computer engineering
- Category:Control engineering
- Category:Control theory
- Category:Cybernetics
- Cell (biology)
- Centrifugal governor
- Circular coordinates
- Closed-loop controller
- Coefficient diagram method
- Complex plane
- Computer network
- Control engineering
- Control–feedback–abort loop
- Controllability
- Controller (control theory)
- Control loop
- Control reconfiguration
- Control system
- Control system engineering
- Control Systems Engineering
- Coordinate vector
- Cruise control
- Cybernetics
- Deadbeat controller
- Derivative
- Describing function
- Diederich Hinrichsen
- Differential equation
- Differential geometry
- Digital control
- Dimension (vector space)
- Distributed parameter systems
- Dynamical system
- Dynamic programming
- Dynamic system
- Edward John Routh
- Edward Routh
- Eigenvalue
- Eigenvalues
- Electric motor
- Electronics
- Evolutionary computation
- Feedback
- Feedback linearization
- Feedback mechanism
- Feed forward (control)
- File:Boulton and Watt centrifugal governor-MJ.jpg
- File:Feedback loop with descriptions.svg
- File:Industrial control loop.jpg
- File:PID en.svg
- File:Simple feedback control loop2.svg
- Fire-control system
- Fourier transform
- Fractional-order control
- Frequency
- Frequency domain
- Frequency response
- Fuzzy logic
- Gain (electronics)
- Genetic algorithms
- Good regulator
- Guidance system
- Hankel singular value
- Harold Stephen Black
- Harry Nyquist
- Hendrik Wade Bode
- Hierarchical
- Hierarchical control system
- H infinity
- H-infinity loop-shaping
- Imaginary number
- Impulse response
- Input-to-state stability
- Instability
- Integral
- Integrator
- Intelligent control
- Internal model (motor control)
- Irmgard Flugge-Lotz
- Irmgard Flügge-Lotz
- Jacques Charles François Sturm
- James Clerk Maxwell
- Jan Camiel Willems
- John R. Ragazzini
- Kalman filter
- Keck telescopes
- Keith Glover
- Krener's theorem
- Laplace transform
- Lead-lag compensator
- Lead–lag compensator
- Lev Pontryagin
- Limit cycle
- Linear
- Linear control theory
- Linear differential equation
- Linear function
- Linearization
- Linear matrix inequality
- Linear-quadratic-Gaussian control
- Linear system
- Linear time invariant
- Lyapunov's theory
- Lyapunov function
- Lyapunov stability
- Machine learning
- Marginal stability
- Markov chain approximation method
- Mass-spring-damper model
- Mathematical model
- Mathematical system theory
- Mathematics
- MIMO
- Minor loop feedback
- MMT Observatory
- Model predictive control
- Model Predictive Control
- Multiple-input multiple-output system
- Negative feedback
- Negative feedback amplifier
- Networked control system
- Neuro-fuzzy
- Nicolas Minorsky
- Nonlinear control theory
- Nonlinear differential equation
- Nonlinear system
- Norbert Wiener
- Norm (mathematics)
- Nuclear reactor
- Numerical method
- Nyquist diagram
- Nyquist plot
- Nyquist stability criterion
- Observability
- Open-loop controller
- Operations research
- Optimal control
- Overshoot (signal)
- People in systems and control
- Perceptual control theory
- Perturbation theory
- PID control
- PID controller
- Pierre-Louis Lions
- Pierre-Simon Laplace
- Plant (control theory)
- Poincaré map
- Pole (complex analysis)
- Pontryagin's minimum principle
- Positive systems
- Probability theory
- Process control
- Process variable
- Proportional control
- Radial basis function
- Resonant frequency
- Richard Bellman
- Rise time
- Robotics
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- Root locus
- Routh–Hurwitz theorem
- Rudolf E. Kálmán
- Scalar (mathematics)
- Self-organized
- Self-organized criticality control
- Self-oscillation
- Sensor
- Servomechanism
- Setpoint (control system)
- Settling time
- Ship stability
- Signal-flow graph
- Simulation
- Simulation language
- Single-input single-output system
- Sliding mode control
- Space Race
- Stability theory
- Stabilizer (ship)
- Stable polynomial
- State (controls)
- State-space
- State space (controls)
- State space representation
- State variable
- Steady state
- Stochastic control
- Superposition principle
- System identification
- Systems theory
- Telescope
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- Time-domain state space representation
- Time-invariant
- Time scale calculus
- Transfer function
- Transform (mathematics)
- Transient response
- Transient state
- Tree (data structure)
- Underactuation
- Unit circle
- Vadim Utkin
- Variable (mathematics)
- Vector control (motor)
- Viscosity solutions
- Voltage
- Warren E. Dixon
- Wavefront
- Wiener filter
- World War II
- Wright brothers
- Youla–Kucera parametrization
- Zeros and poles
- Z transform
- Z-transform
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- Automaatika
- Automatinio valdymo teorija
- Control de procesos
- Controllo automatico
- Control theory
- Control theory
- Control theory
- İdarəetmə nəzəriyyəsi
- Irányítástechnika
- Kontrolaren teoria
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- Kontrol teorisi
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- Teoria de control
- Teoria de controle
- Teoría del control
- Teoría del control
- Teoria e kontrollit
- Teória riadenia
- Teoria sterowania
- Teorie řízení
- Teorija kontrole
- Teori kawalan
- Teorya ng kontrol
- Teyorya hin kontrol
- Théorie du contrôle
- Tiurìa dû cuntrollu
- Θεωρία ελέγχου
- Теория управления
- Теорія керування
- תורת הבקרה
- نظرية التحكم
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- नियंत्रण सिद्धान्त
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