Crossover frequency limitations in MIMO nonminimum phase feedback systems

IEEE Transactions on Automatic Control - Tập 47 Số 9 - Trang 1560-1564 - 2002
O. Yaniv1, P.-O. Gutman2
1Faculty of Engineering, Department of Electrical Engineering Systems, Tel-Aviv University, Tel-Aviv, Israel
2Faculty of Agricultural Engineering, Technion-Israel Institute of Technology, Haifa, Israel

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 systems

Tài liệu tham khảo

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