Simultaneous LQ control of a set of LTI systems using constrained generalized sampled-data hold functions
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- 作者：Javad Lavaei ; Amir G. Aghdam
- 关键词：Simultaneous stabilization ; ; none ; color ; black"" href=""/science?_ob=MathURL&_method=retrieve&_udi=B6V21-4MJJC9D-1&_mathId=mml2&_user=10&_cdi=5689&_rdoc=7&_acct=C000050221&_version=1&_userid=10&md5=46c2e4598d7a0f9
- 刊名：Automatica
- 出版年：2007
- 出版时间：February 2007
- 年：2007
- 卷：43
- 期：2
- 页码：274-280
- 全文大小：251 K
文摘
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.