Stability tests and stabilization for piecewise linear systems based on poles and zeros of subsystems
Stability tests and stabilization for piecewise linear systems based on poles and zeros of subsystems
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DOI：
10.1016/j.automatica.2006.06.009
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发表时间：
2006-10
期刊：
影响因子：
--
通讯作者：
Y. Iwatani;S. Hara
中科院分区：
文献类型：
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作者：
Y. Iwatani;S. Hara
本文给出了分段线性系统的几种稳定性检验方法，并提出了一种双模态系统的镇定方法。特别是，我们推导出一个明确的和精确的稳定性测试的平面系统，这是给在子系统的传递函数的系数。限制注意双峰和平面的情况下，我们显示简单的稳定性测试。此外，我们驱动的必要条件和充分稳定性条件的高阶和双峰系统。它们是根据子系统的特征值轨迹和能观性给出的。本文中提供的所有稳定性测试是计算上易处理的，我们的结果被应用到稳定性问题。我们证实了我们的方法的正确性和有效性说明性的例子。
This paper provides several stability tests for piecewise linear systems and proposes a method of stabilization for bimodal systems. In particular, we derive an explicit and exact stability test for planar systems, which is given in terms of coefficients of transfer functions of subsystems. Restricting attention to the bimodal and planar case, we show simple stability tests. In addition, we drive a necessary stability condition and a sufficient stability condition for higher-order and bimodal systems. They are given in terms of the eigenvalue loci and the observability of subsystems. All the stability tests provided in this paper are computationally tractable, and our results are applied to the stabilizability problem. We confirm the exactness and effectiveness of our approach by illustrative examples.