Optimal control of sampled-data piecewise affine systems
Optimal control of sampled-data piecewise affine systems
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DOI：
10.1016/j.automatica.2003.11.012
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发表时间：
2004-04
期刊：
影响因子：
--
通讯作者：
J. Imura
中科院分区：
文献类型：
--
作者：
J. Imura
讨论了一类分段仿射（PWA）系统的最优连续时间控制问题，其中离散状态的切换作用在每个采样时刻由连续状态的条件确定.这样的系统在这里被称为采样数据PWA（SD-PWA）系统。首先，通过连续（或离散）时间PWA模型的控制系统的设计的重要意见指出，这促使我们使用SD-PWA模型。其次，基于所提出的模型的良好性质，提出了SD-PWA系统的最优连续时间控制器。
This paper discusses the optimal continuous-time control problem of a class of piecewise affine (PWA) systems, where the switching action of the discrete state is determined at each sampling time according to a condition on the continuous state. Such a system is called here the sampled-data PWA (SD-PWA) system. First, important remarks on the control design of this system via the continuous-(or discrete-)time PWA model are pointed out, which motivate us to use the SD-PWA model. Next, based on the good properties of the proposed model, an optimal continuous-time controller of the SD-PWA systems is proposed.