Nonlinear Morgan's problem: case of (p+1) inputs and p outputs

Glumineau A.; Moog C.H.

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Nonlinear Morgan's problem: case of (p+1) inputs and p outputs

机译：非线性Morgan问题：（p + 1）个输入和p个输出的情况

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Noninvertible static state feedback solutions of the row-by-row decoupling problem are investigated for the class of nonlinear systems having one more input component than output components. The analysis involves a combination of geometric and algebraic tools, but notably avoids the use of (regular or degenerate) controllability distribution (subspaces), the main tools used to date for the class of linear systems. The main idea is finding within the system a chain of integrators that may be attached to one of the inputs in order to appropriately modify the system's structure at infinity.

机译：对于输入分量比输出分量多的一类非线性系统，研究了逐行解耦问题的不可逆静态反馈解决方案。该分析涉及几何和代数工具的组合，但尤其要避免使用（常规或简并）可控性分布（子空间），这是迄今为止用于线性系统类别的主要工具。主要思想是在系统内找到可以连接到输入之一的积分器链，以便在无穷大时适当地修改系统的结构。

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《IEEE Transactions on Automatic Control》 |1992年第7期|P.1067-1072|共6页
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Glumineau A.; Moog C.H.;
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Nonlinear Morgan's problem: case of (p+1) inputs and p outputs

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