| Title |
The New Integral Operational Matrix of Block Pulse Function using Interpolation Method |
| Authors |
조영호(Jo, Yeong-Ho) ; 신승권(Sin, Seung-Gwon) ; 이한석(Lee, Han-Seok) ; 안두수(An, Du-Su) |
| Keywords |
라그랑지 보간법 ; 적분연산행렬 BPF(block pulse function) ; Lagrage's interpolation ; integral operational matrix |
| Abstract |
BPF(block pulse function) has been used widely in the system analysis and controller design. The integral operational matrix of BPF converts the system represented in the form of the differential equation into the algebraic problem. Therefore, it is important to reduce the error caused by the integral operational matrix. In this paper, a new integral operational matrix is derived from the approximating function using Lagrange's interpolation formula. Comparing the proposed integral operational matrix with another, the result by proposed matrix is closer to the real value than that by the conventional matrix. The usefulness of th proposed method is also verified by numerical examples. |