A Chain Scattering-Matrix Description Approach to H Control

Mi Ching Tsai, Chin Shiong Tsai

Research output: Contribution to journalArticlepeer-review

30 Citations (Scopus)


This note employs chain scattering-matrix descriptions and J-lossless coprime factorizations to develop a relatively simple method for the synthesis of the continuous-time H suboptimal control. Analogous to the Youla parameterization of all stabilizing controllers, we derive an identity to generate all suboptimal controllers. The derivation we give is carried out in terms of transfer function matrices although the final formulae are in state space. The approach provides a clear connection at the transfer function level between coprime factorizations and algebraic Riccati equations that are associated with the solutions of the problem.

Original languageEnglish
Pages (from-to)1416-1421
Number of pages6
JournalIEEE Transactions on Automatic Control
Issue number9
Publication statusPublished - 1993 Sept

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Computer Science Applications
  • Electrical and Electronic Engineering


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