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タイトル: | An Interaction-Coordination Algorithm with Time- and State-Decompositions for Nonlinear Optimal Control Problems |
著者: | NISHIKAWA, Yoshikazu OKUDAIRA, Masashi OJIKA, Takeo |
発行日: | Jul-1978 |
出版者: | Faculty of Engineering, Kyoto University |
誌名: | Memoirs of the Faculty of Engineering, Kyoto University |
巻: | 40 |
号: | 3 |
開始ページ: | 169 |
終了ページ: | 181 |
抄録: | This paper proposes a computational algorithm for the multilevel control of a composite nonlinear dynamical system with the performance index of a quadratic type. First, for the solution of a linear two-point boundary-value problem (TPBVP), a computational technique, termed time-decomposition, is proposed. The time-decomposition implies decomposition of the system equations along the subintervals of the independent variable. The boundary conditions of each subinterval are determined algebraically in such a way that the continuity condition of the variables at the boundary points is satisfied. This technique plays an important role in the subsequent discussions. Second, a nonlinear optimal control problem is considered. The objective is to minimize the performance index of a quadratic type. For this problem, the authors have previously presented ‘the interaction-coordination algorithm with modified performance index.’ The basic idea of this algorithm is to decompose the overall nonlinear problem into a number of smaller linear subproblems. Here this kind of decomposition is termed state-decomposition. In the present paper, a computational algorithm by use of both the time- and the state-decomposition is proposed. The algorithm essentially constructs a three-level computational structure, and results in a fast convergence even for problems with strong nonlinearities and/or a long control interval. |
URI: | http://hdl.handle.net/2433/281074 |
出現コレクション: | Vol.40 Part 3 |
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