Title :
Optimal control of nonlinear systems via orthogonal functions
Author :
Mohan, B.M. ; Kar, Sanjeeb Kumar
Author_Institution :
Dept. of Electr. Eng., Indian Inst. of Technol., Kharagpur, India
Abstract :
A nonlinear operational matrix is derived using two different classes orthogonal functions (OFs), namely Legendre polynomials (LPs) and block pulse functions (BPFs). Using the nonlinear operational matrix and other relevant operational properties of OFs an approximate solution for a nonlinear optimal control problem with quadratic performance index is obtained. Two examples are included to demonstrate the validity of the proposed approach.
Keywords :
Legendre polynomials; approximation theory; functions; matrix algebra; nonlinear control systems; optimal control; Legendre polynomials; block pulse functions; nonlinear operational matrix; nonlinear optimal control problem; nonlinear systems; orthogonal functions; quadratic performance index; Chebyshev approximation; Educational institutions; Electrical engineering; Nonlinear systems; Optimal control; Polynomials; Bilinear systems; Block pulse functions; Legendre polynomials; Nonlinear systems; Optimal control; Orthogonal functions;
Conference_Titel :
Energy, Automation, and Signal (ICEAS), 2011 International Conference on
Conference_Location :
Bhubaneswar, Odisha
Print_ISBN :
978-1-4673-0137-4
DOI :
10.1109/ICEAS.2011.6147166
