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  2. Z-transform - Wikipedia

    en.wikipedia.org/wiki/Z-transform

    An important example of the unilateral Z-transform is the probability-generating function, where the component [] is the probability that a discrete random variable takes the value. The properties of Z-transforms (listed in § Properties) have useful interpretations in the context of probability theory.

  3. Control theory - Wikipedia

    en.wikipedia.org/wiki/Control_theory

    Many active and historical figures made significant contribution to control theory including Pierre-Simon Laplace invented the Z-transform in his work on probability theory, now used to solve discrete-time control theory problems. The Z-transform is a discrete-time equivalent of the Laplace transform which is named after him.

  4. Final value theorem - Wikipedia

    en.wikipedia.org/wiki/Final_value_theorem

    There are two checks performed in Control theory which confirm valid results for the Final Value Theorem: All non-zero roots of the denominator of H ( s ) {\displaystyle H(s)} must have negative real parts.

  5. Classical control theory - Wikipedia

    en.wikipedia.org/wiki/Classical_control_theory

    Classical control theory uses the Laplace transform to model the systems and signals. The Laplace transform is a frequency-domain approach for continuous time signals irrespective of whether the system is stable or unstable.

  6. Digital control - Wikipedia

    en.wikipedia.org/wiki/Digital_control

    Digital control theory is the technique to design strategies in discrete time, (and/or) quantized amplitude (and/or) in (binary) coded form to be implemented in computer systems (microcontrollers, microprocessors) that will control the analog (continuous in time and amplitude) dynamics of analog systems.

  7. Smith predictor - Wikipedia

    en.wikipedia.org/wiki/Smith_predictor

    The Smith predictor (invented by O. J. M. Smith in 1957) is a type of predictive controller designed to control systems with a significant feedback time delay. The idea can be illustrated as follows. The idea can be illustrated as follows.

  8. Category:Control theory - Wikipedia

    en.wikipedia.org/wiki/Category:Control_theory

    Machine learning control; Mason's gain formula; Masreliez's theorem; Matched Z-transform method; Meta-system; Microgrid; Internal environment; Minimal realization; Minimum energy control; Minimum phase; Minor loop feedback; Model predictive control; Motion control; Moving horizon estimation; Multiple models

  9. Pole–zero plot - Wikipedia

    en.wikipedia.org/wiki/Pole–zero_plot

    In mathematics, signal processing and control theory, a pole–zero plot is a graphical representation of a rational transfer function in the complex plane which helps to convey certain properties of the system such as: Stability; Causal system / anticausal system; Region of convergence (ROC) Minimum phase / non minimum phase