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

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 platforms up to the mark and sign processing. a number of the methods to adaptive regulate structures are lined and their balance and flexibility analyzed. the quantity additionally contains papers taken from poster classes to offer a concise and entire overview/treatment of this more and more very important box.

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An-l b 0 0 -po ···· . . 1, bm x+ 0 �-1 ' ( 5 . o • · · · · -tn-1 Equation (5 . 5) has the form: ox(k) = A(k) x (k) + B (k) e (k) + d1 (k) (5 . 6) where B , d 1 are bounded. The time varying m� trices eigervalues 2qual to those of A . A (k) all have �lso , the coefficients in A(k) are bounded , since 8 is �oun�ed and since assumption (A . 3 ) ensures that L , P have bounded coefficients for all time . Next, we note the coefficients in P , L are continuous functions of e . Als o , in view of Lemma 4 .

Thus much of the computational burden on the adaptive controller may be irrelevant . A number of different types of models may be used to express the behavior of the process with refer­ ence to control . State space models express most details about the internal behavior of the process whereas input-output models offer compact parametric descriptions for linear systems . - The ability of an adaptive controller to cope with changing amounts of transportation lag in the process dynamics , is not always good .

An adaptive controller therefore allows the set of nominal systems to be greatly expanded at the expense of a slight reducASC-B* 29 tion in the robustness margin for each nominal system . This seems to be about as good a result as could be expected. The theory has been confirm­ ed by recent practical experience with this form of robust adaptive controller. REFERENCES Anderson , B . D . O . and R . M . Johnstone (1983) . "Adaptive sys tems and time varying plants . " Int. J. of Contro l, 37 , 367-377 .

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