Technical Communique: New dilated LMI characterizations for continuous-time multiobjective controller synthesis
Technical Communique: New dilated LMI characterizations for continuous-time multiobjective controller synthesis
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DOI：
10.1016/j.automatica.2004.06.009
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发表时间：
2004-11
期刊：
影响因子：
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通讯作者：
Y. Ebihara;T. Hagiwara
中科院分区：
文献类型：
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作者：
Y. Ebihara;T. Hagiwara
针对连续时间控制器综合问题，提出了一种新的扩张线性矩阵不等式（LMI）刻画方法。扩张的LMI使我们能够参数化控制器，而不涉及参数化的李雅普诺夫变量。利用这一特点，我们可以很容易地设计多目标控制器与非共同的李雅普诺夫变量，而我们被迫采用一个共同的著名的李雅普诺夫成形范式。特别是，它表明，所提出的基于扩张LMI的方法H2/D-稳定性综合包括相应的李雅普诺夫成形范式作为一个特例。在这个意义上，本文的结果可以被看作是在离散时间设置中获得的部分对应。
This paper provides new dilated linear matrix inequality (LMI) characterizations for continuous-time controller synthesis. The dilated LMIs enable us to parametrize controllers without involving the Lyapunov variables in the parametrizations. Taking advantage of this feature, we can readily design multiobjective controllers with non-common Lyapunov variables, whereas we are forced to employ a common one in the well-known Lyapunov shaping paradigm. In particular, it is shown that the proposed dilated-LMI-based approach to H2/D-stability synthesis encompasses the corresponding Lyapunov shaping paradigm as a special case. In this sense, the results of this paper can be viewed as partial counterparts of those obtained in the discrete-time setting.