Simultaneous pole assignment by multi-structured multirate sampled-data controllers—orthogonality consideration
✍ Scribed by Tomomichi Hagiwara; Mituhiko Araki; Hiroshi Soma
- Publisher
- John Wiley and Sons
- Year
- 1996
- Tongue
- English
- Weight
- 767 KB
- Volume
- 6
- Category
- Article
- ISSN
- 1049-8923
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✦ Synopsis
A new method of simultaneous pole assignment and simultaneous stabilization of h plant models Pi (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 Pi is fixed for all j and the rest is changed completely. This assumption seems fairly feasible if Pis 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 sampleddata 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.
KEY WORDS simultaneous stabilization/pole-assignment; structured perturbation; multirate control; controller-plant orthogonality are all stable'. This problem used to be very tough when the class of controllers were restricted to time-invariant continuous-time systems or the conventional sampled-data systems using a 'zero order hold', 'uniform sampling of the plant output' and a 'timeinvariant control law'.I3 Actually if h 3 3 , no general methods (nor conditions) for dynamical characteristics.