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Static output feedback passivation revisited and global asymptotic stabilizing properties of a controller
International Journal of Robust and Nonlinear Control ( IF 3.2 ) Pub Date : 2020-09-24 , DOI: 10.1002/rnc.5181
Jovan D. Stefanovski 1
Affiliation  

The class of systems that can be globally asymptotically stabilized by the well‐known control law urn:x-wiley:rnc:media:rnc5181:rnc5181-math-0001, urn:x-wiley:rnc:media:rnc5181:rnc5181-math-0002 is extended, in respect to literature. This control law is suitable for application to systems of unknown structure, and it is shown that it is more advantageous than the linear control law. The stability proof is based on solutions of a newly introduced problem, which is a specialization of the passivation by static output feedback control of a system with nonzero feedforward matrix. Necessary and sufficient conditions for existence of a solution of the problem are given, which include the minimum phase property of the given system. It is explained why the new concept cannot be applied to nonminimum phase systems. It is proved that a class of nonminimum phase systems can be stabilized by the same control law, where urn:x-wiley:rnc:media:rnc5181:rnc5181-math-0003 is a matrix function, rather than a constant matrix. Illustrative example are given.

中文翻译:

静态输出反馈钝化的重新考虑和控制器的全局渐近稳定特性

可以通过众所周知的控制定律全局渐近稳定的系统类别urn:x-wiley:rnc:media:rnc5181:rnc5181-math-0001urn:x-wiley:rnc:media:rnc5181:rnc5181-math-0002就文学而言是扩展的。该控制定律适用于结构未知的系统,并且表明它比线性控制定律更具优势。稳定性证明基于新引入问题的解决方案,该问题是通过对具有非零前馈矩阵的系统进行静态输出反馈控制来钝化的一种特殊方法。给出了解决问题的必要和充分条件,其中包括给定系统的最小相位特性。解释了为什么新概念不能应用于非最小相位系统。证明了一类非最小相位系统可以通过相同的控制律来稳定,其中骨灰盒:x-wiley:rnc:media:rnc5181:rnc5181-math-0003是矩阵函数,而不是常数矩阵。给出了说明性的例子。
更新日期:2020-10-17
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