Chain-scattering description approach to characterise stabilising controllers and optimal H2 solution

Mi-Ching Tsai, F. Y. Yang

Research output: Contribution to journalArticle

2 Citations (Scopus)


This study presents an alternative method for solving a general class of control synthesis problems by employing chain-scattering matrix descriptions and coprime factorisations. Extended from Kimura's approach, the proposed method follows an abridged development without the need for any plant augmentation or the conjugation technique in its solution process. It is shown that general control synthesis problems, including those for stabilising controllers or further for H2 controllers, can be represented via two associated chain-scattering matrix descriptions and solved by means of two coprime factorisations. In the two-port chain description framework, the coprime factorisation is utilised as the fundamental idea instead of J-spectrum factorisation from the perspective of facilitating the process of guaranteeing no unstable pole-zero cancellation. A significant contribution of this study is its transparency and intuitive nature, providing a systematic theory of control and allowing practicing control engineers to learn this approach more easily and apply it to advanced control systems. Related graphic network representations are also presented to help explain the whole concept which will benefit engineering readers.

Original languageEnglish
Pages (from-to)1022-1032
Number of pages11
JournalIET Control Theory and Applications
Issue number8
Publication statusPublished - 2011 May 19

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Human-Computer Interaction
  • Computer Science Applications
  • Control and Optimization
  • Electrical and Electronic Engineering

Fingerprint Dive into the research topics of 'Chain-scattering description approach to characterise stabilising controllers and optimal H<sub>2</sub> solution'. Together they form a unique fingerprint.

  • Cite this