Adaptive systems in control and signal processing : by Björn Wittenmark; Karl Johan °Aström; International

By Björn Wittenmark; Karl Johan °Aström; International Federation of Automatic Control; International Federation of Automatic Control Technical Committee on Theory

This moment IFAC workshop discusses the range and purposes of adaptive structures on top of things and sign processing. a few of the techniques to adaptive keep an eye on platforms are coated and their balance and suppleness analyzed. the quantity additionally comprises papers taken from poster periods to provide a concise and complete overview/treatment of this more and more very important box.

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In the simplified analysis which follows , it is assumed that the rate of change of this frequency is rather low. Of course it is also assumed that due to the small perturbations , a l inearized description as that of ( 3 . 1 ) is valid. 2) = in which v (t) i s the time domain representation of the last term in ( 3 . 1 ) . The frequency of pertur­ bation is denoted w 1 00 · This is going to be the estimated value of w 80 . 1 As is seen from Fig . 3 . 1 , the rate of change of the perturbation frequency < w 1 80 J is made proportional to the product of the response in the control devi­ ation (e (t) ) and cosw 1 80 t .

0 . . : . . 200 . 0 . . . . . . . . . . . . . . 1000 . 0 10400 . a. Fig . u . 70 . , '·� .. :=>O . O 30 . 0 10-0 . 0 - 0 290 .. 0 �ooo . o 1:400 . b. F ig . sec 0 . 09 . o . 7 . / . . jJ�·JVJ� . . J.. ·v'V:. j ·� . . 'UJ'. : : . 0 . 0:3 . . 0 . 0·1 . . : 290 .. 0 . . . . . : . . . . . . . . : . . . . >' . . . . sec 5. c. . :50 . 0 . . : 30 . 0 : �000 . 0 6cpo . o Fig. 70 . 0 : . . 10 . 0 . . 2�0 . 0 . . :. : . . . . : . . .

Goodwin, D . Q . Mayne and Palaniswami ( 1986) . "An adaptive control algorithm for linear systems having unknown time delays . " Submitted for publication. Desoer , C . A . ( 1970) . "Slowly varying discrete system x = A x " Electronics letter s , i i i+l 6 , 11 , 339-340 , May . A . and Vidyasagar , M . ( 1975) . Feedback Systems : Input-Output P roperties . Academic Press , New York. Egard t , B . (1979) . Stability of adaptive con­ trollers . Lecture notes in Control and Information Sciences , Springer , New York.

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