| Title |
Analysis and Optimal Control of Linear Time-delay Systems via Fast Walsh Transform |
| Authors |
한상인(Han, Sang-In) ; 이명규(Lee, Myeong-Gyu) ; 김진태(Kim, Jin-Tae) ; 안두수(An, Du-Su) |
| Keywords |
Walsh function ; fast Walsh transform ; linear time-delay system. |
| Abstract |
A Walsh function method is proposed in this report for the analysis and optimal control of linear time-delay systems, which is based on the Picard's iterative approximation and fast Walsh transformation. In this research, the following results are obtained: 1) The differential and integral equation can be solved by transforming into a simple algebraic equation as it was possible with the usual orthogonal function method: 2) General orthogonal function methods require usage of Walsh operational matrices for delay or advance and many calculations of inverse matrices, which are not necessary in this method. Thus, the control problems of linear time-delay systems can be solved much faster and readily. |