Deadbeat Controller
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Deadbeat Controller
In discrete-time control theory, the dead-beat control problem consists of finding what input signal must be applied to a system in order to bring the output to the steady state in the smallest number of time steps. For an ''N''th-order linear system it can be shown that this minimum number of steps will be at most ''N'' (depending on the initial condition), provided that the system is null controllable (that it can be brought to state zero by ''some'' input). The solution is to apply feedback Feedback occurs when outputs of a system are routed back as inputs as part of a chain of cause and effect that forms a circuit or loop. The system can then be said to ''feed back'' into itself. The notion of cause-and-effect has to be handle ... such that all poles of the closed-loop transfer function are at the origin of the ''z''-plane. This approach is straightforward for linear systems. However, when it comes to nonlinear systems, dead beat control is an open research problem. ...
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Control Theory
Control theory is a field of control engineering and applied mathematics that deals with the control system, 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 theory, stability; often with the aim to achieve a degree of Optimal control, 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 Setpoint (control system), 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 ...
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Feedback
Feedback occurs when outputs of a system are routed back as inputs as part of a chain of cause and effect that forms a circuit or loop. The system can then be said to ''feed back'' into itself. The notion of cause-and-effect has to be handled carefully when applied to feedback systems: History Self-regulating mechanisms have existed since antiquity, and the idea of feedback started to enter economic theory in Britain by the 18th century, but it was not at that time recognized as a universal abstraction and so did not have a name. The first ever known artificial feedback device was a float valve, for maintaining water at a constant level, invented in 270 BC in Alexandria, Egypt. This device illustrated the principle of feedback: a low water level opens the valve, the rising water then provides feedback into the system, closing the valve when the required level is reached. This then reoccurs in a circular fashion as the water level fluctuates. Centrifugal governors were ...
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Z-transform
In mathematics and signal processing, the Z-transform converts a discrete-time signal, which is a sequence of real or complex numbers, into a complex valued frequency-domain (the z-domain or z-plane) representation. It can be considered a discrete-time equivalent of the Laplace transform (the ''s-domain'' or ''s-plane''). This similarity is explored in the theory of time-scale calculus. While the continuous-time Fourier transform is evaluated on the s-domain's vertical axis (the imaginary axis), the discrete-time Fourier transform is evaluated along the z-domain's unit circle. The s-domain's left half-plane maps to the area inside the z-domain's unit circle, while the s-domain's right half-plane maps to the area outside of the z-domain's unit circle. In signal processing, one of the means of designing digital filters is to take analog designs, subject them to a bilinear transform which maps them from the s-domain to the z-domain, and then produce the digital filter by in ...
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Kevin Warwick
Kevin Warwick (born 9 February 1954) is an English engineer and Deputy Vice-Chancellor (Research) at Coventry University. He is known for his studies on direct interfaces between computer systems and the human nervous system, and has also done research concerning robotics. Biography Kevin Warwick was born in 1954 in Keresley, Coventry, England, and was raised in the nearby village of Ryton-on-Dunsmore, Warwickshire. His family attended a Methodist church but soon he began doubting the existence of God. He attended Lawrence Sheriff School in Rugby, Warwickshire, where he was a contemporary of actor Arthur Bostrom. He left school at the age of 16 to start an apprenticeship with British Telecom. In 1976, he was granted his first degree at Aston University, followed by a PhD degree and a research job at Imperial College London. He took up positions at Somerville College in Oxford, Newcastle University, the University of Warwick, and the University of Reading, before relocating ...
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