| Title |
Hierarchical Optimal Control of Non-linear Systems using Fast Walsh Transform |
| Authors |
정제욱(Jeong, Je-Uk) ; 조영호(Jo, Yeong-Ho) ; 임국현(Im, Guk-Hyeon) ; 안두수(An, Du-Su) |
| Keywords |
고속 월쉬변환 ; 계층별 최적제어 ; 비선형시스템 FWT ; Hierarchical optimal control ; Non-linear system |
| Abstract |
This paper presents a new algorithm for hierarchical optimal control of nonlinear systems. The proposed method is simple because the solutions are obtained by only exchanging informations of coefficient vector based on interaction prediction principle and FWT(fast Walsh transform) in upper and lower level. Since we solve two point boundary problem with Picard's iterative method and the backward integral operational matrix of Walsh function to obtain the optimal vector of each independent subsystem, the algorithm is simple and its operation is fast without inverse matrix and kronecker product operation. In simulation, the proposed algorithm's usefulness is proved by comparison with the global optimal control methods. |