基于算子理论的非线性反馈系统简化控制方案

Congcong Jia, N. Bu
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引用次数: 0

摘要

本文将基于算子理论的右素数分解方法应用于非线性反馈系统的稳定性问题,讨论了基于同构的右素数分解方法得到的右素数的逆,并证明了其稳定性,从而使所设计的控制器满足Bezout恒等式。同时,非线性反馈系统是稳定的。
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A simplified control scheme for nonlinear feedback system based on operator theory
In this paper, the right coprime factorization method based on operator theory is applied to deal with the stability issue of nonlinear feedback system, wherein the inverse of the right factor obtained from the isomorphism-based factorization method is discussed and is proved to be stable, thus the Bezout identity is satisfied with the designed controllers. Meanwhile, the nonlinear feedback system is stable.
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