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首页> 美国政府科技报告 >Optimal Control Theory of Load-Following and Parameter-Tracking of Nonlinear Systems: An Application of Pontryagin Maximum Principle to Reactor Dynamics
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Optimal Control Theory of Load-Following and Parameter-Tracking of Nonlinear Systems: An Application of Pontryagin Maximum Principle to Reactor Dynamics

机译：非线性系统负载跟踪与参数跟踪的最优控制理论 - pontryagin最大值原理在反应堆动力学中的应用

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A demand-following and parameter tracking algorithm has been developed which utilizes the Pontryagin Maximum Principle (PMP). Starting from a variational principle, we have derived the methodology for the construction of a Hamiltonian function, with the analytical properties required by the application of the Pontryagin Maximum Principle method to Free Terminal Time optimization problems. A crucial result has been the conversion of the two point boundary value problem, typical of the Pontryagin Maximum Principle method for nonlinear systems, into a noniterative initial value problem. The introduction of sensor signals information, as a set of differential equations complementing the model's equation, allows the reformulation of parameter tracking algorithms as control optimization problems, where the demands are the plant signals, and the controls the time-varying plant parameters. The present algorithm allows correction for the time delays which affect the information flowing from the plant. The control algorithm presented in this paper has been validated against a nonlinear mode of a nuclear power plant with time-varying parameters. 10 refs., 5 figs., 1 tab. (ERA citation 13:014672)

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