@inbook{0af58b90f4154fe6ac3f9939f50046a0,
title = "Linear fractional transformations",
abstract = "This chapter introduces the linear fractional transformation (LFT), which is a convenient and powerful formulation in control system analysis and controller synthesis. The LFT formulation employs a two-port matrix description linked by a terminator to represent a closed-loop feedback system with two individual open-loop systems. This representation is inherently suitable for MIMO systems. Several examples are given to show how to locate the interconnected transfer function for a given system by using LFT and also how to formulate a control design problem into LFT. Additionally, in order to understand the benefit of utilizing LFT, the relationship between Mason{\textquoteright}s gain formulae and LFT will be discussed in this chapter. Inner and co-inner systems are relevant to various aspects of control theory, especially H∞ control. Definitions of inner and co-inner functions are thus introduced in the last section of this chapter.",
author = "Tsai, {Mi Ching} and Gu, {Da Wei}",
note = "Publisher Copyright: {\textcopyright} 2014, Springer-Verlag London.",
year = "2014",
doi = "10.1007/978-1-4471-6257-5_4",
language = "English",
series = "Advances in Industrial Control",
publisher = "Springer International Publishing",
number = "9781447162568",
pages = "65--97",
booktitle = "Advances in Industrial Control",
edition = "9781447162568",
}