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IEEE TRANSACTIONS ON AUTOMATIC COhTROL,M L . AC-29,NO. 6. JUNE 1984 569 compensator-system plant loop has been shown in all of the papers on the
 

Summary: IEEE TRANSACTIONS ON AUTOMATIC COhTROL,M L . AC-29,NO. 6. JUNE 1984 569
compensator-system plant loop has been shown in all of the papers on the
compensator-based approach.
If x and w are not measurable, but the triple
is output feedback stabilizable, there exist matrices KO and K2 such that
the output feedback control *
u = - K,CAx"-KO(F+CX)Ax,K,.xc (32)
regulates A x " and Axc to zero. We note that
C A x " + ( F + C X ) ~ x , = ! . - D u - ( F + C X ) x , , (33a)
or equivalently
Hence, the feedback control design (32) uses only the measurable quanti-
ties in the servomechanism, namely )' and .x,.
Moreover, the closed-loop matrix when (32) is used is given by
A - BKoC - BK,( F + C X ) - BK2
-l'Cr-YDrK&Z-YD,K,(F+CX)-YD,K, )' (34)
Given KO.and any arbitrary K;. there exists K2 such that
K ; =K 0 ( F + C X ) + K 2 . (35)
Thus, the feedback control (32) is equivalent to a feedback control for the
pair (30) which is given by
Au"- KZAX,= - KOCAX"-KiAx,.. (36)

  

Source: Anantharam, Venkat - Department of Electrical Engineering and Computer Sciences, University of California at Berkeley

 

Collections: Engineering