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Simultaneous pole assignment by multi‐structured multirate sampled‐data controllers—orthogonality consideration
Author(s) -
Hagiwara Tomomichi,
Araki Mituhiko,
Soma Hiroshi
Publication year - 1996
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/(sici)1099-1239(199607)6:6<571::aid-rnc155>3.0.co;2-s
Subject(s) - orthogonality , control theory (sociology) , controller (irrigation) , key (lock) , perturbation (astronomy) , computer science , feature (linguistics) , class (philosophy) , mathematics , control (management) , artificial intelligence , philosophy , physics , geometry , computer security , quantum mechanics , agronomy , biology , linguistics
A new method of simultaneous pole assignment and simultaneous stabilization of h plant models P j ( j = 1, …, h ) by multirate sampled‐data controllers is presented. The method is based upon two key ideas. The first is the introduction of the ‘perturbation structure’ assumption on the plant models; i.e., it is assumed that a part of P j is fixed for all j and the rest is changed completely. This assumption seems fairly feasible if P j s are the models of a single object under different conditions or the models of many objects which perform the same function. The second key idea is the use of multi‐structured multirate sampled‐data controllers, which might offer a new horizon for a wide class of control problems other than simultaneous stabilization. The significance and feature of the proposed method in contrast with a previous method are clarified from the viewpoint of ‘controller‐plant orthogonality’. Namely, we show that the resulting controller can be regarded as consisting of h subcontrollers each of which controls its target plant model but causes no feedback effect at sampling instants on other h —1 plant models.