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By Karl J. ÅStröM (auth.), K. J. Åström, G. C. Goodwin, P. R. Kumar (eds.)

The quarter of adaptive platforms, which encompasses recursive id, adaptive keep an eye on, filtering, and sign processing, has been probably the most lively parts of the prior decade. on the grounds that adaptive controllers are essentially nonlinear controllers that are utilized to nominally linear, almost certainly stochastic and time-varying structures, their theoretical research is generally very tough. however, over the last decade a lot basic development has been made on a few key questions relating their balance, convergence, functionality, and robustness. additionally, adaptive controllers were effectively hired in several sensible functions, and feature even entered the marketplace.

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Extra resources for Adaptive Control, Filtering, and Signal Processing

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0 ~; 24 KARL J . ASTROM 6. Conclusions. Relay feedback has played a role in adaptive control for a long time. Lately it has been used for automatic tuning and for initialization of adaptive cont rollers, see [3] and [17]. In this paper we have analyzed limit cycles and their stability in simple cases. Particular em phasis has been given to symmetric limit cycles. It should be observed that linear systems with relay feedback can exhibit very com plicated behavior. , shown that a second order oscillatory system with time delay can have different stable limit cycles depending on th e initial conditions.

On the d etermination of stead y-s tate oscillati ons of on -o ff feedback systems ," Tran s. IRE Ci rcuit T heor y, CT-9 (1 96 2) , p . 279 . Z . , R elay C on trol S yst em s, Cam bridge University Press, Camb ri dge, UK (1 984 ) . [27} WEISS, H. K . , "A nalysis of r elay servom ech anisms ," J. A eronautical S ci en ces, 13 (1946) , p p. 36 4-376. COMPATIBILITY OF STOCHASTIC AND WORST CASE SYSTEM IDENTIFICATION: LEAST SQUARES, MAXIMUM LIKELIHOOD AND GENERAL CASES ' ER- WEI BAIl AND MA RK S .

S. s. s . 10) with 0' a a. s . 27) T- oo = II(V). s. 24) a re satisfi ed for an admissible, self-tuning ada ptive cont rol. 6 . Assum e that {A 2, A S) are satisfie d. 1.

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