可逆线性系统输出注入的确定方法以保证正则相对阶
Determination of the output injection of invertible linear systems for guaranteeing a regular relative degree
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中文总结 AI 辅助
本文针对可逆线性时不变系统，基于Morse规范形，提出了一种显式确定所有容许输出注入和输出变换的方法，以保证系统具有正则相对阶，并通过线性矩阵方程求解和示例验证了方法的有效性与易用性。
中文摘要 AI 辅助
对于可逆的线性时不变系统，Morse规范形揭示了存在输出注入和输出变换，使得所得系统具有正则相对阶。基于这一事实，本文开发了一种方法来确定所有能够实现该性质的容许输出注入和输出变换。与现有文献中的递归和隐式计算法不同，所提出的输出注入确定方法是显式的且易于使用，因为解是通过求解线性矩阵方程获得的。本文对所提方法给出了严格的证明，并给出了一个说明性示例以展示该方法的适用性。
英文摘要
For an invertible linear time-invariant system, the Morse normal form reveals that there exist an output injection and an output transformation such that the resulting system possesses a regular relative degree. Based on this fact, this paper develops a method to determine all admissible output injections and output transformations that achieve this property. In contrast to the recursive and implicit computation methods in the existing literature, the proposed determination method for the output injections is explicit and easy to use, since the solutions are obtained by solving linear matrix equations. A rigorous proof of the proposed method is provided, and an illustrative example is presented to demonstrate the applicability of the approach.
发表机构
- Harbin Institute of Technology（哈尔滨工业大学）
- National Key Laboratory of Complex System Control and Intelligent Agent Cooperation（复杂系统控制与智能Agent合作国家重点实验室）
- Southern University of Science and Technology（南方科技大学）
机构由 AI 辅助整理，请以论文原文为准。
