Semi-global stabilization with guaranteed regional performance of linear systems subject to actuator saturation
Semi-global stabilization with guaranteed regional performance of linear systems subject to actuator saturation
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DOI：
10.1109/acc.2000.877051
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发表时间：
2001-07
期刊：
影响因子：
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通讯作者：
T. Hu;Zongli Lin;Y. Shamash
中科院分区：
文献类型：
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作者：
T. Hu;Zongli Lin;Y. Shamash
对于给定饱和线性反馈下的线性系统，我们提出了在零可控区域上实现半全局稳定的反馈律，同时保留了固定区域中原始反馈律的性能。这里，通过零可控区域的半全局稳定，我们指的是反馈定律的设计，该设计导致吸引域包括零可控区域的任何先验给定的紧凑子集。我们的设计通过适当调整反馈定律，保证了保留原始性能的区域不会随着吸引域的扩大而缩小。连续时间和离散时间系统都被考虑。
For a linear system under a given saturated linear feedback, we propose feedback laws that achieve semi-global stabilization on the null controllable region while preserving the performance of the original feedback law in a fixed region. Here, by semi-global stabilization on the null controllable region we mean the design of feedback laws that result in a domain of attraction that includes any a priori given compact subset of the null controllable region. Our design guarantees that the region on which the original performance is preserved would not shrink as the domain of attraction is enlarged by appropriately adjusting the feedback laws. Both continuous-time and discrete-time systems are considered.