Chang Transformation for Decoupling of Singularly Perturbed Linear Time-Varying Systems

被引：2

作者：

Yang, Xiaojing ^{[1
]}

Zhu, J. Jim ^{[2
]}

机构：

[1] Beihang Univ, Sch Aeronaut Sci & Engn, Beijing 100191, Peoples R China

[2] Ohio Univ, Sch Elect Engn & Comp Sci, Athens, OH 45701 USA

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2016年 / 61卷 / 06期

关键词：

Chang transformation; linear time-varying system; semi-proper system; singular perturbation; DIAGONALIZATION; REDUCTION;

D O I：

10.1109/TAC.2015.2479317

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This technical note extends the decoupling method for singularly perturbed systems, Chang transformation, from linear slowly time-varying systems to linear time-varying systems with semi-proper (self-commutative) fast subsystems through the constructions of contraction mappings when negative real parts of the parallel differential-eigenvalues are used to guarantee the exponential stability of the perturbed systems. MacLaurin series forms and iterative solutions in an interval of the singular perturbation parameter for the differential Riccati equation and the differential Sylvester equation are provided, which are key steps for the Chang transformation construction.

引用

页码：1637 / 1642

页数：6

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