By Petros A. Ioannou, Petar V. Kokotovic

ISBN-10: 3540121501

ISBN-13: 9783540121503

ISBN-10: 3540395474

ISBN-13: 9783540395478

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5. 05. L n ~ • • n I I I , , , I . I I I I I n u , 01 > ¢;I n l l l l l l n n l l l l l l l u l l (q) O~ OtP 0~, . . O~ . . O~ . . m . . L O~ i . . I O! i , , , I , , , ' o~ b"£ 36 The improvement of the bound by making the convergence rate m 2 larger may require trial and error selection of the adaptive gains. 135) (1 + n k 2 max ~[G]) 2 gives more information about the dependence of the error bound on other quantities. In this case m 2 is the largest when max %[G] - mln %[G]. 135) that the error bound will be higher when the order n of the dominant part of the plant is higher.

2 ,'o -2 -4 . . | rT O i i 0 . i . . I 20 T,me (sL~) , J 30 , , 40 Co) .... I .... I I .... 24 0 i , , i LO , i J , I , J , , r 20 T,me {sec) 30 2O 30 . . 5l ' , , ! 3. Identification results for B - O . 2 and u = S s i n t + S s i n 2 . 5). 33 . . i I0 . . i . . 20 T , m e (r~eC) i , i h i 30 40 (o) ~4 w ,co a i i m 11,~ i m . i I . . ' 2O i " i n ' ~ (sL,m ) ' ' ' ' 30 40 (b) IC O~ . . ~0 i 10 , . , . I , 20 Time (~) , , . 4. 5). 34 ' ' ' ' I ' ' ' ' I ' ' ' ' I ' , ~ , ,~o .

System with parasitics. This implies This identifier is then applied to the actual Our purpose is to examine the performance of "parallel" and "series parallel" identifiers in the presence of the parasitic input and obtain bounds for their parameter and output errors. The following assumptions are made throughout this section: (AI) A s and Af are stable. (A2) The order n of the dominant part of the plant is known. (A3) The triple (As,bs,C s) is both completely controllable and completely observable.

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Adaptive Systems with Reduced Models by Petros A. Ioannou, Petar V. Kokotovic


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