Sampled-Data Control Systems

TL;DR: The zeros of the discrete time system obtained when sampling a continuous time system are explored and theorems for the limiting zeros for large and small sampling periods are given.

TL;DR: The well-known Whittaker-Kotel'nikov-Shannon sampling theorem for frequency-bandlimited functions of time is extended to functions of multidimensional arguments and it is shown that a function whose spectrum is restricted to a finite region of wave-number space may be reconstructed from its samples taken over a periodic lattice having suitably small repetition vectors.

TL;DR: This paper introduces a function piece during the sampling period as the state and gives an infinite-dimensional model with such a state space that makes it possible to introduce such time-invariant concepts as transfer functions, poles, and zeros to the sampled data systems even with the presence of the intersample behavior.

TL;DR: The architecture of a general structure for event based control is presented, the key elements are an event detector, an observer, and a control signal generator, which can be regarded as a generalized data-hold.