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首页> 外文期刊>Journal of Zhejiang University. Science >Optimization of block-floating-point realizations for digital controllers with finite-word- length considerations
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Optimization of block-floating-point realizations for digital controllers with finite-word- length considerations

机译：考虑到有限字长的数字控制器的块浮点实现的优化

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摘要

The closed-loop stability issue of finite-precision realizations was investigated for digital control-lets implemented in block-floating-point format. The controller coefficient perturbation was analyzed resulting from using finite word length (FWL) block-floating-point representation scheme. A block-floating-point FWL closed-loop stability measure was derived which considers both the dynamic range and precision. To facilitate the design of optimal finite-precision controller realizations, a computationally tractable block-floating-point FWL closed-loop stability measure was then introduced and the method of computing the value of this measure for a given controller realization was developed. The optimal controller realization is defined as the solution that maximizes the corresponding measure, and a numerical optimization approach was adopted to solve the resulting optimal realization problem. A numerical example was used to illustrate the design procedure and to compare the optimal controller realization with the initial realization.
机译：对于以块浮点格式实现的数字控制小程序，研究了有限精度实现的闭环稳定性问题。通过使用有限字长（FWL）块浮点表示方案对控制器系数扰动进行了分析。推导了考虑动态范围和精度的块浮点FWL闭环稳定性测度。为了便于设计最佳的有限精度控制器，然后引入了可计算的易于处理的块浮点FWL闭环稳定性测度，并开发了针对给定控制器实现计算该测度值的方法。将最优控制器实现定义为最大化相应度量的解决方案，并采用数值优化方法来解决由此产生的最优实现问题。数值示例说明了设计过程，并将最佳控制器实现与初始实现进行了比较。

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