Synthesis of optimal controllers for piecewise affine systems with sampled-data switching

被引：16

作者：

Azuma, S ^{[1
]}

Imura, J

机构：

[1] Kyoto Univ, Grad Sch, Dept Syst Sci, Uji, Kyoto 6110011, Japan

[2] Tokyo Inst Technol, Grad Sch Informat Sci, Dept Mech & Environm Informat, Meguro Ku, Tokyo 1528552, Japan

来源：

AUTOMATICA | 2006年 / 42卷 / 05期

关键词：

hybrid systems; piecewise affine systems; sampled-data; switching; optimal control feasibility;

D O I：

10.1016/j.automatica.2005.12.023

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper discusses the optimal control problem of the continuous-time piecewise affine (PWA) systems with sainpled-data switching, where the switching action is executed based upon a condition on the state at each sampling time. First, an algebraic characterization for the problem to be feasible is derived. Next, an optimal continuous-time controller is derived for a general class of PWA systems with sampled-data switching, for which the optimal control problem is feasible but whose subsystems in some modes may be uncontrollable in the usual sense. Finally, as an application of the proposed approach, the high-speed and energy-saving control problem of the CPU processing is formulated, and the validity of the proposed methods is shown by numerical simulations. (c) 2006 Elsevier Ltd. All rights reserved.

引用

页码：697 / 710

页数：14

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