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首页> 外文期刊>Bulletin of the Polish Academy of Sciences. Technical Sciences >Fixed final time and free final state optimal control problem for fractional dynamic systems - linear quadratic discrete-time case
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Fixed final time and free final state optimal control problem for fractional dynamic systems - linear quadratic discrete-time case

机译：分数动态系统的固定最终时间和自由最终状态最优控制问题-线性二次离散时间情况

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摘要

The optimization problem for fractional discrete-time systems with a quadratic performance index has been formulated and solved. The case of fixed final time and a free final state has been considered. A method for numerical computation of optimization problems has been presented. The presented method is a generalization of the well-known method for discrete-time systems of integer order. The efficiency of the method has been demonstrated on numerical examples and illustrated by graphs. Graphs also show the differences between the fractional and classical (standard) systems theory. Results for other cases of the fractional system order (coefficient a) and not illustrated with numerical examples have been obtained through a computer algorithm written for this purpose.
机译：提出并解决了具有二次性能指标的分数离散时间系统的优化问题。已经考虑了固定的最终时间和自由的最终状态的情况。提出了一种优化问题数值计算的方法。提出的方法是众所周知的整数阶离散时间系统方法的概括。该方法的有效性已通过数值示例得到证明，并通过图表进行了说明。图形还显示了分数和经典（标准）系统理论之间的差异。通过为此目的编写的计算机算法已获得了分数系统阶数（系数a）其他情况的结果，但没有用数值示例进行说明。

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