Triangular Orthogonal Functions for the Analysis of Continuous Time Systems is a source of new knowledge to researchers and academics in the area of mathematics as well as systems and control. This book deals with a new set of triangular orthogonal functions, which evolved from the set of well known block pulse functions (BPF), a major member of the piecewise constant orthogonal function (PCOF) family. Unlike PCOF, providing staircase solutions, this new set of triangular functions provides piecewise linear solutions with less mean integral squared error (MISE). After introducing the rich background of the PCOF family, which includes Walsh, block pulse and other related functions, fundamentals of the newly proposed set -- such as basic properties, function approximation, integral operational metrics, etc. -- are presented. This set has been used for integration of functions, analysis and synthesis of dynamic systems and solution of integral equations. The study ends with microprocessor based simulation of SISO control systems using sample-and-hold functions and Dirac delta functions.Deb, Anish, and Datta, A. K., On analytical techniques of power electronic circuit analysis, IETE Tech. ... Deb, A., Sarkar G., Sen S. K. and Datta, A. K., A new method of analysis of chopper-fed DC series motor using Walsh function, Proc.
|Title||:||Triangular Orthogonal Functions for the Analysis of Continuous Time Systems|
|Author||:||Anish Deb, Gautam Sarkar, Anindita Sengupta|
|Publisher||:||Anthem Press - 2011|