By Topic

General hybrid orthogonal functions and some potential applications in systems and control

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$33 $33
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

2 Author(s)
A. Patra ; Dept. of Electr. Eng., Indian Inst. of Technol., Kharagpur, India ; G. P. Rao

The system of general hybrid orthogonal functions (GHOF) is shown to be more relevant to many practical situations than the conventional systems of orthogonal functions. The proposed framework of definition combines the natural features of discontinuity of the class of piecewise-constant systems and the inherent characteristics of continuity and differentiability of the systems of continuous systems of polynomial and sinusoidal functions, leading to a general, flexible and piecewise-continuous (and differentiable) system of GHOF. The powerfulness of the proposed system is demonstrated in the representation of functions with discontinuities, solution of the state equation with discontinuous inputs and prediction of the limit cycle of a highly nonlinear van der Pol's oscillator. The results amply demonstrate the value of the GHOF as a potential basis for function expansion in a large class of real-world problems.<>

Published in:

IEE Proceedings D - Control Theory and Applications  (Volume:136 ,  Issue: 4 )