Perspectives and results on the stability and stabilizability of hybrid systems
Perspectives and results on the stability and stabilizability of hybrid systems
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DOI：
10.1109/5.871309
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发表时间：
2000-07
影响因子：
20.6
通讯作者：
R. Decarlo;M. Branicky;S. Pettersson;B. Lennartson
中科院分区：
文献类型：
--
作者：
R. Decarlo;M. Branicky;S. Pettersson;B. Lennartson
本文介绍了混合系统的概念以及与此类系统稳定性相关的一些挑战，包括保证切换稳定系统稳定性的问题以及为稳定切换不稳定系统寻找切换控制器存在条件的问题。在此过程中，本文综述了有限维混合系统（李雅普诺夫）稳定性方面的主要成果，然后讨论了切换线性（稳定和不稳定）系统更强、更专业的成果。文中给出了一个章节，详细阐述了如何将一些成果表述为线性矩阵不等式。给出了对飞机迎角调节以及对具有自动变速器的车辆的比例 - 积分（PI）控制的稳定性分析。还包括其他示例以说明本文中的各种成果。
This paper introduces the concept of a hybrid system and some of the challenges associated with the stability of such systems, including the issues of guaranteeing stability of switched stable systems and finding conditions for the existence of switched controllers for stabilizing switched unstable systems. In this endeavour, this paper surveys the major results in the (Lyapunov) stability of finite-dimensional hybrid systems and then discusses the stronger, more specialized results of switched linear (stable and unstable) systems. A section detailing how some of the results can be formulated as linear matrix inequalities is given. Stability analyses on the regulation of the angle of attack of an aircraft and on the PI control of a vehicle with an automatic transmission are given. Other examples are included to illustrate various results in this paper.