摘要 |
<p>PROBLEM TO BE SOLVED: To provide a method and a device for the nonlinear optimum adaptive control, where computing speed is quickened by improving a calculation of a basic equation for calculating a manipulated variable of a control parameter to a controlled object, and capable of achieving high precision control in real time. SOLUTION: In the method, Hamilton-Jacobi's equation is approximately (made linear) solved with a low calculated amount, possibly. With a parameter varying every moment, nonlinear characteristics is used as it is. Also, even if an evaluation index is not necessarily a square deviation type, there is used as it is without 'linearization' to the square deviation type. The nonlinear Hamilton-Jacobi's equation is solved by using a characteristic function where an imaginary part of the characteristic value is to be the lowest, from among linear wave equations coping with and set. Thus, in the method, without calculating a nonlinear multidimensional partial differential equation directly, only by performing an analysis of the characteristic value in a corresponding matrix with the low calculated amount, the function for calculating an optimum manipulated variable, which is free from errors of control requirements, can be calculated.</p> |