Minimizing unobservability in inferential control schemes

Minimizing unobservability in inferential control schemes
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最小化推理控制方案中的不可观察性

DOI:
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发表时间:
1980
期刊:
影响因子:
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通讯作者:
G. Stephanopoulos
G. Stephanopoulos
中科院分区:
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文献类型:
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作者:
M. Morari;G. Stephanopoulos

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缓变持续不可测扰动,即允许过程在大多数时间内表现出准稳态行为的扰动,在过程控制系统中是非常常见的。采用著名的状态重构方法(Luenberger观测器,卡尔曼滤波器)的推理控制方案是无法科普这样的干扰,并已被证明会导致大的误差。已经提出了状态矢量的增大作为克服这些困难的手段。本文表明,这一过程中产生的一般(即总是当干扰的数量超过测量的数量)的结构可观性问题,并提出了一个最佳的方法来解决这些问题。作为这种方法的结果,测量选择标准也来自与最小化的状态估计的干扰的灵敏度的目标。一个有趣的平行讨论的对偶问题的可控性的系统时,国家…
Abstract Slowly-varying persistent unmeasured disturbances, i.e. disturbances which allow the process to exhibit quasi steady-state behaviour most of the time, are very common in process-control systems. The inferential control schemes employing the well-known state-reconstruction methods (Luenberger observer, Kalman filter) are unable to cope with such disturbances and have been demonstrated to lead to large errors. The augmentation of the state vector has been proposed as a means for overcoming these difficulties. This paper shows that this procedure yields in general (i.e. always when the number of disturbances exceeds the number of measurements) problems of structural observability and suggests an optimal way to resolve them. As a consequence of this approach a measurement selection criterion is also derived with the objective of minimizing the sensitivity of the state estimates to the disturbances. An interesting parallel is discussed to the dual problem of controllability of a system when the state ...