Explicit formula for general H control

Chin Shiong Tsai, Mi-Ching Tsai, York Yih Sun

Research output: Contribution to conferencePaperpeer-review

Abstract

This paper extends the result of [16] to a general H control problem which only requires the stabilizing assumption on the generalized plant. By introducing coprime factors of the plant, the necessary and sufficient conditions for the existence of a sub-optimal solution are derived completely in the transfer function domain. The solution is obtained via finding a J-contractive and a J-expansive numerator, respectively, of two associated factorizations; this is equivalent to the existence of positive definite solutions of two corresponding Riccati inequalities in the state-space. The aim of the present paper provides a linkage between J-contractive factorizations and linear matrix inequalities, and an explicit state-space formula for constructing H controllers.

Original languageEnglish
Pages1376-1381
Number of pages6
Publication statusPublished - 1996 Dec 1
EventProceedings of the 1996 IEEE 22nd International Conference on Industrial Electronics, Control, and Instrumentation, IECON. Part 3 (of 3) - Taipei, Taiwan
Duration: 1996 Aug 51996 Aug 10

Other

OtherProceedings of the 1996 IEEE 22nd International Conference on Industrial Electronics, Control, and Instrumentation, IECON. Part 3 (of 3)
CityTaipei, Taiwan
Period96-08-0596-08-10

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Electrical and Electronic Engineering

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