کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
697722 | 890380 | 2007 | 7 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Simultaneous LQ control of a set of LTI systems using constrained generalized sampled-data hold functions Simultaneous LQ control of a set of LTI systems using constrained generalized sampled-data hold functions](/preview/png/697722.png)
In this paper, sampled-data control of a set of continuous-time LTI systems is considered. It is assumed that a predefined guaranteed continuous-time quadratic cost function, which is, in fact, the sum of the performance indices for all systems, is given. The main objective here is to design a decentralized periodic output feedback controller with a prespecified form, e.g., polynomial, piecewise constant, exponential, etc., which minimizes the above mentioned guaranteed cost function. This problem is first formulated as a set of matrix inequalities, and then by using a well-known technique, it is reformulated as a LMI problem. The set of linear matrix inequalities obtained provides necessary and sufficient conditions for the existence of a decentralized optimal simultaneous stabilizing controller with the prespecified form (rather than a general form). Moreover, an algorithm is presented to solve the resultant LMI problem. Finally, the efficiency of the proposed method is demonstrated in two numerical examples.
Journal: Automatica - Volume 43, Issue 2, February 2007, Pages 274–280