Hamilton-Jacobi-Isaacs方程式に基づく非線形H^∞制御の-設計法

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抄録

Based on Hamilton-Jacobi-Isaacs equation, we deal with a design problem of the state feedback controller for the nonlinear H^∞ control problem. Making use of the emergent property of Genetic Programming, we try to approximately obtain the solution of the Hamilton-Jacobi-Isaacs equation. By introducing the automatic differentiation technique, we then combine the Genetic Programming with the nonlinear H^∞ control problem. Some numerical examples are demonstrated to illustrate the efficiency of the proposed design method.