Title :
Analysis and synthesis of dynamic systems via block-pulse functions
Author_Institution :
Rutgers University, Department of Electrical Engineering, Piscataway, USA
fDate :
6/1/1977 12:00:00 AM
Abstract :
The paper presents a method of numerically integrating a system of differential equations based on an idea of orthogonal approximation of functions. Here, block-pulse functions are chosen as the orthogonal set. The method gives piecewise constant solutions with minimal mean-square error and is computationally similar to the familiar trapezoidal rule of integration. Design of piecewise constant controls or feedback gains for dynamic systems can be simplified following this approach.
Keywords :
control system analysis; control system synthesis; differential equations; function approximation; integration; numerical methods; block pulse function; differential equations; dynamic systems; feedback gains; function approximation; integration; piecewise constant controls; system synthesis;
Journal_Title :
Electrical Engineers, Proceedings of the Institution of
DOI :
10.1049/piee.1977.0119
