Crossover frequency limitations in MIMO nonminimum phase feedback systems
Tóm tắt
This paper investigates limitations and design tradeoffs of the closed-loop sensitivity/performance of linear-time-invariant nonminimum-phase uncertain multiple-input-multiple-output plants, with I inputs and m outputs, where m /spl les/ l. It is shown that if rows i/sub 1/...,i/sub k/ of the plant transfer function form a k /spl times/ l nonminimum phase transfer matrix, and if the design is such that the sensitivity gain of k - 1 rows among the rows i/sub 1/,...,i/sub k/ of the closed-loop transfer function is low, then by necessity the sensitivity gain of the remaining row is high. This sensitivity constraint is quantified with the help of the crossover frequency restriction of a specially constructed single-input-single-output transfer function that includes the right half plane zeros and poles of the k /spl times/ l transfer matrix.
Từ khóa
#Frequency #MIMO #Transfer functions #Bandwidth #Agricultural engineering #Aerospace control #Filtering theory #Output feedback #Poles and zeros #Control systemsTài liệu tham khảo
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